Geometry

  1. 4. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale. The bases are right triangles. top(8.94m) side(41m) bottom left corner(4m) bottom(8m).

    ~852 m2;

  2. Four tangents are drawn from E to two concentric circles. A, B, C, and D are the points of tangency. Can you name as many pairs of congruent triangles as possible and tell how you can show each pair is congruent?

    You can use triangle congruence theorems to

  3. 1. If RST=NPQ, which of the following is true?

    A) R=P B) R=Q C) T=P D) T=Q <---- My answer 2. Given ABC=PQR, m<B=3v+4, and m<Q=8v-6, find m<B and m<Q. A) 22 B) 11 C) 10 <---- My answer D) 25 3. Which of the following statements is true about the triangles

  4. R, S, and T are the vertices of one triangle. E, F, and D are the vertices of another triangle. m<R = 60°, m<S = 80°, m<F = 60°, m<D = 40°,?

    RS = 4, and EF = 4. Are the two angles congruent? If yes, explain how and identify which segment is congruent to

  5. If the measures,in degrees, of the three angles of a triangle are x, x+10, and 2x-6, the triangle must be:

    A.right,B.equilateral,C.Scalene, D.Isosceles

  6. 7. which three lengths could be the lengths of the sides of a triangle?

    a.11cm,11cm,24cm****** b.18cm,12cm,9cm c. 9cm,19cm, 10cm d.4cm,7cm,23 cm idk? is this right

  7. justify the last two steps of the proof.

    Given: ABCD is a parallelogram. Prove: triangleABC = triangleCDA 1. ABDC is a parallelogram 1. given 2. AB = DC and BC =DC 2. opposite sides of a parallelogram are congruent 3. AC = CA 3. ? 4. triangleABC =

  8. 1. If ΔRST symbol ΔNPQ, then RT line is congruent to _____. (1 point)

    line NP line NQ line PQ line QP 2. Given RST NPQ, RT = 7x – 5, NQ = 5x + 11, find the length of RT and of NQ. (1 point) 8 51 40 56 3. Which of the following statements is true about

  9. ABCD is a rhombus. Explain why triangle ABC is congruent to triangle CDA.

  10. 1. The lengths of two sides of a triangle are 9 and 15. What's can be said about the length of the third side?

    A. It must be greater than or equal to 6 and less than 24. B. It must be greater than or equal to 6 and at most 24. C. It must be greater than 6

  11. In $\triangle ABC$, we have $AB = AC = 13$ and $BC = 10$. Let $M$ be the midpoint of $\overline{AB}$ and $N$ be on $\overline{BC}$ such that $\overline{AN}$ is an altitude of $\triangle ABC$. If $\overline{AN}$ and $\overline{CM}$ intersect at $X$, then

  12. The vertices of a triangle are P(-4,1), Q(-2,-8), R(8,-1). What are the vertices of the image reflected across the y-axis?

    my answer is P'(4,1),Q'(2,-8),R'(-8,-1)

  13. Given triangle GHI with G(4, -3), H(-4, 2), and I(2, 4), find the perpendicular bisector of line HI in standard form.

    Please help? Thanks

  14. 1 and 2 are a linear pair. M1=x-35, and m2=x+83. find the measure of each angle

    I need help, can someone please walk me through this? Thank you

  15. Problem:

    ABCD is a kite such that AB=BC and CD=DA. P is the centroid of triangle ABC and Q is the centroid of triangle CDA. We know [ABCD]=60. Find [PCQA]. I have no idea on how to approach this problem!

  16. 1.Which translation rule describes the translation that is 6 units to the right and 5 units down?

    A.(x, y)--> (x+6, y-5)**** B.(x, y)--> (x-6, y-5) C.(x, y)--> (x+6, y+5) D.(x, y)--> (x-6, y+5) 2.If point P(4,11) is reflected across the line y=3, what are

  17. 3. A department store sells small boxes in which customers can store potpourri. The diagram below shows one of the boxes. The diagram is not drawn to scale. 3.12cm, 17cm, 5cm

    What are the laretal area and the surface area of the box to the nearest whole

  18. The length of one base of a trapezoid is 19 inches and the length of the median is 16 inches. Find the length of the other base.

  19. $M$ is the midpoint of $\overline{AB}$ and $N$ is the midpoint of $\overline{AC}$, and $T$ is the intersection of $\overline{BN}$ and $\overline{CM}$, as shown. If $\overline{BN}\perp\overline{AC}$, $BN = 12$, and $AC = 14$, then find $CT$.

  20. Hello! Please help!

    The dashed triangle is a dilation image of the solid triangle with the center at the origin. Is the dilation an enlargement or reduction? Find the scale factor of the dilation. The solid triangle has the points A(-6,0) B(6,5) and

  21. The lengths of the sides of a triangle are 3x, 5x – 12, and x + 20. Find the value of x so that the triangle is isosceles.

    Can somebody show me a step-by-step process of how to get the answer(s) please? I need it:) I also saw that x could = 8, 10, and 6.

  22. List the sides of the triangle in order from longest to shortest.

    Angle D is 86 degrees Angle F is 50 degrees Angle E is 44 degrees *xy=segment* A) EF, FD, DE B) FD, DE, EF C) EF, DE, FD D) DE, FD, EF My answer: I think it would be B but I'm not sure. If

  23. 46. Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. Figures are not drawn to scale.

    mO = 128° (1 point) 52 308 64 256

  24. Find the length of a segment that has endpoints h(2, -3) and j(12, 7)

    20 10 square root 2 4 square root 2 40 Please help? Thx

  25. Angle C and Angle D are supplementary angles. If the measure of Angle D is nine less than twice the measure of Angle C, find the measure of Angle D.

    PLEASE HELP!!! I have no idea where to even start!

  26. Tangent Lines practice problems. Unit 7

    3. In the figure below, lines that appear to be tangent are tangent. Point O is the center of the circle. Which is the value of x? I am really confused on this question. If anyone could help that would be great

  27. The volumes of two similar solids are 1,331 m^3 and 216 m^3. The surface area of the larger solid is 484 m^2. What is the surface area of the smaller solid?

    A. 864m^2 B. 288m^2 C. 144m^2 D. 68m^2 I think the answer is B or C just a lil confused...

  28. What is the area of the trapezoid? The diagram is not drawn to scale.

    60 cm² Given the regular polygon, what is the measure of each numbered angle? m∡1 = 36°; m∡2 = 72° What are a) the ratio of the perimeters and b) the ratio of the areas of the

  29. 13. A(-5,-4) -> A1 is a glide reflection where the translation is (x,y) -> (x+6,y), and the line of reflection is y=3. What are the coordinates of A1?

    a. (1,-4) b. (-5,2) c. (1,10) d. (11,2) Is the answer a?

  30. The lengths of the sides of a triangle are 17, 8, and n. Which of the following must be true?

    A. 9 < n < 25 B. n > or equal to 25 C. n < 9 D. 9 < or equal to n < or equal to 25 At first I thought it was B, then I thought it was A or D... is it A? Please

  31. #4

    Which could be the scale factor of the following similar figures? (1 point) The first triangle's sides are 9,9,12 The second triangles sides are 6,6,8 A.) 2/3 B.) 3/4 C.) 1 D.) 3/2 E.) 4/3 My answers: b & c _______________________________ #5 The

  32. 1 - Complete this statement: A polygon with all sides the same length is

    said to be___. a. regular b. equilateral *** c. equiangular d. convex 2- A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? round to the

  33. A(-3,3) ---> A' is a glide reflection where the translation is (x,y) (x+5,y), and the line of reflection is y=1. What are the coordinates of A'?

    (2,-3) (-3,5) (5,1) (2,5) ---> is an arrow. I am not good on glide reflections and I'm very stuck on this one:(

  34. 32. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18cm?

    5,832 cm3 2,916 cm3 1,944 cm3 972 cm3

  35. Can someone please help me with these?

    1. What are the focus and directrix of the parabola with the equation y=1/12 xsquared 2. what is an equation of a parabola with a vertex at the origin and directrix y=19/4 3. What are the focus and directrix of the

  36. Complete the two column proof.

    Given: angle 2 and angle 5 are supplementary Prove: l is parallel to m Statements: 1. BLANK 2. angle 3 is congruent to angle 2 3. angle 3 and angle 5 are supplementary 4. BLANK Reasons: 1.________ 2.________ 3.________

  37. Given the line F is parallel to line g, find the value of x.

    Line f is 3x Line g is 6x+45

  38. Use the diagram to answer the question. Triangle R S T. Segment R S measures 10 units Segment R T measures 8 units. Angle T is a right angle. What is the measure of ∠R?

  39. Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

    What is the value of x? "A triangle is shown with two sides that each measure 21. The angle between the two sides is 38 degrees. One of the other base

  40. A triangle has angle measures

    23° and 35° . What is the measure of the third angle? A. 32° B. 90° C. 122° D. 180°

  41. Right triangle FHG is shown

    *The sine of angle F is 0.53 What is the cosine of angle H? Round the answer to the nearest hundredth

  42. 8. The lateral area of a cone is 555πcm^2. The radius is 15.1 cm. What is the slant height to the nearest tenth of a centimeter?

    A. 36.8 cm B. 11.7 cm C. 83.8 cm*** D. 25.5 cm 10. What is the volume of the given prism? Round the answer to the nearest tenth

  43. The measure of an angle's supplement is 76 less than the measure of the angle. Find the measure of the angle and its supplement.

  44. what are the properties of the circumcenter of a triangle?

    what are the properties of an incenter triangle?

  45. Please write a paragraph proof for this statement. Point Y is the midpoint of segment XZ. Z is the midpoint of segment YW. PRove that segment or line XY is congruent to segment or line ZW.

  46. Please check my answers

    1. A triangle has side lengths of 34 in, 20 in, and 47 in. Is the triangle acute, obtuse or right? a. Right b. Obtuse* c. Acute 2. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting

  47. QS−→ bisects ∠PQR, m∠PQS=(4y−10)∘, and m∠SQR=(2y+10)∘. Find m∠PQR.

  48. The area of a triangle is 124 square units. What would its new area be if its base was half as long, and its height was three times as long?

    I have no idea what I should use or do to solve this question. I only got to the point in where the new area is

  49. 1. A conditional can have a ____ of true or false. (1 point)

    a) hypothesis b) truth value *** c) counterexample d) conclusion Am I right? Thank you!

  50. If ABCD = QRST, m∠A = x-10 and m∠Q = 2x-30, what is the m∠A

  51. Help! I'm so confused :(

    1. Supply the missing reasons to complete the proof. Given: angle Q is congruent to angle T and line QR is congruent to line TR Prove: line PR is congruent to line SR Statement | Proof 1. angle Q is congruent| 1. Given to angle T

  52. Which value is equivalent to sin42∘?

    a. cos3∘ b. cos90∘ c. cos45∘ d. cos48∘

  53. 13. A( -2, -5 ) => A' is a glide reflection where the translation is ( x, y ) => ( x + 7, y ), and the line of reflection is y = 2. What are the coordinates of A'?

    a.) ( 5, 9 ) b.) ( 5, -5 ) c.) ( -2, 2 ) d.) ( 6, 2 )

  54. Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in tall. her paper is 12 in. wide and 24 in. tall. She decides to use the scale 1 in. = 4in. is this a reasonable scale?

  55. 1. The Seattle Space Needle is 604 feet tall. A model for the building is 48 inches tall. What is the ratio of the height of the model to the height of the actual Space Needle?

    A. 151:1 B. 151:12 C. 1:151 D. 12:151 If anyone knows the rest of the answers to

  56. Points $A$ and $B$ are on a circle centered at $O$, and point $P$ is outside the circle such that $\overline{PA}$ and $\overline{PB}$ are tangent to the circle. If $\angle OPA = 32^{\circ}$, then what is the measure of minor arc $AB$, in degrees?

  57. If a conditional and its converse are always true, then the statement is a

    a. converse. b. conditional. c. biconditional. d. counterexample. I am trying to do some geometry and haven't taken it in a while so can someone please help?

  58. Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one angles formed is 72 degrees, what are the measures of the other three angles. Explain your answer.

    My answer-- Vertical angles are congruent and if the

  59. ab has endpoints at (2,3) and (2,5). after a dilation with a center at the origin and a scale factor of 15 , what would be the length of the image of ab ?

    1/5 units 2/5 units 2 units 10 units

  60. Which statement is true?

    A. All rectangles are quadrilaterals. B. All quadrilaterals are rectangles. C. All quadrilaterals are parallelograms.** D. All quadrilaterals are squares. Can someone check my answer

  61. 1. AB is tangent to circle O at B. If AB=7 and AO=17.4, what is the radius?

  62. If a polygon has 33 sides what is

    a) The sum of the measures of the angles of the polygon? b) The sum of the measures of the exterior angles, one per vertex, of the polygon?

  63. A triangle is reflected across line L and then across line m. If the lines intersect, what kind of isometry is this composition of reflections?

    translation rotation reflection glide reflection*****? After a glide reflection, the point x is mapped to the

  64. Jason wants to walk the shortest distance to get from the parking lot to the beach. a.How far is the spot on the beach from the parking lot? b. How far will he have to walk from the parking lot to get to the refreshment stand?

  65. In trapezoid $ABCD$, $\overline{AB}$ is parallel to $\overline{CD}$, $AB = 7$ units, and $CD = 10$ units. Segment $EF$ is drawn parallel to $\overline{AB}$ with $E$ lying on $\overline{AD}$ and $F$ lying on $\overline{BC}$. If $BF:FC = 3:4$, what is $EF$?

  66. A dilation has center (0, 0, 0). Find the image of the point (-1, -2, 0) for the scale factor of 3.

    Please help? Thanks

  67. Find the value of x. Round to the nearest tenth of a unit.

    A right triangle. The hypotenuse is 580 yards. The opposite leg (not the base) is x. The exterior degree on the top of the triangle is 27. 263.3 yd 295.5 yd 516.8 yd 1,277.6 yd

  68. The midpoint of uv is (5 -11). the coordinates of one endpoint are u(3 5) find the coordinates of endpoint v. I really need help asap! i have to put this in today..

    Please and thank you!

  69. 1. In an isosceles triangle that is not equilateral the angle between the congruent sides is called a ____

    A> Leg B> Vertex C> Base D> Corollary <<<<<<<<THIS ONE 2. In triangle ABC, AB = CB, m<ABC = 4x-3, and m<CAB = x-3. What is m<ACB A> 28.5 B> 31.5

  70. In right triangle XYZ, ∠Z is a right angle, m∠Y=16∘, and XZ=7.

    sin16∘≈0.276 cos16∘≈0.961 tan16∘≈0.287 Triangle X Y Z as described in the text. What is the measurement of YZ? If necessary, round your answer to one decimal place, like this:

  71. 6. Which of the following facts, if true, would allow you to prove that lines l and m are parallel? (1 point)

  72. Angle E and angle F are supplementary. The measure of angle E is 54 more than the measure of angle F. What is the measure of each angle?

  73. What is the area of a trapezoid with height 5 m and bases 8 m and 1 m?

  74. The energy (and cost) needed to operate an air conditioner is proportional to the volume of the space that is being cooled. It costs ZAP Electronics about $125.00 per day to run an air conditioner in its small rectangular warehouse. The company's large

  75. Which value is equivalent to cos15∘?

    a. sin45∘ b.sin75∘ c. sin85∘ d. sin30∘

  76. Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

    The figure is a triangle is a triangle, and a dotted triangle beside it with a right angle. Th base appears to be 6.9 cm and the upright side of the

  77. <DOE contains points D(2,3) O(0,0) and E(5,1). Which of the following angles are both adjacent and supplementary to <DOE?

    <DOF, with F (10, 2) <DOF, with F (-2, -3) <DOF, with F (-5, -1) <EOF, with F (-5, -1) <EOF, with F (-2, -3) <EOF, with F (10, 2) You

  78. A helicopter pilot sights a landmark at an angle of depression of 22°. The altitude of the helicopter is 1450 feet. To the nearest foot, what is the horizontal distance from the helicopter to the landmark?

  79. Hi, I'm having a difficult time understanding a couple of Geometry questions on my homework and I'd really appreciate it if someone could answer them and explain to me how to get the same answer.

    Question 1: A regular pentagon has an apothem of 3.2 m and an

  80. A piece of art is in the shape of an equilateral triangle with sides of 21 in. What is the area of the piece of art to the nearest tenth?

    311.8 in.^2 381.9 in.^2 155.9 in.^2 191.0 in.^2 Please help?

  81. A segment has endpoints X (-6,2) and Y (-1,-3). Which are the coordinates of the image for a dilation with scale factor of 1.5 and center at the origin?

    A. X'(-7.5) Y (-2.5,-5.5) B. X'(-4.5) Y (.5,-5.5) C. X'(-3,1) Y (-.5,-1.5) D. X'(-9,3) Y (-1.5,-4.5)

  82. find the distance between the cities. Assume that Earth is a sphere of radius 4000 miles and that the cities are on the same longitude (one city is due north of the other)

    Dallas, Texas Latitude: 32* 47' 39" Omaha, Nebraska Latitude: 41* 15' 50"

  83. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures 7 centimeters, what will be the

  84. Two cubes of volumes 8 and 27 are glued together at their faces to form a solid with the smallest possible surface area. What is the surface area of the resulting solid?

  85. A study draws triangle with a perimeter 36cm.the study says that the longest side measures 18cm. how do you know that the student is incorrect?

  86. 10. Which of the following quadrilaterals always have diagonals that are congruent. Circle all that apply

    Parallelograms Rectangles Rhombi Squares Isosceles trapezoids 19. Given square ABCD: if the measure of angle ACB = (1x - 32) degrees, find the value of

  87. Write the converse of the following true conditional statement. If the converse is false write a counter example.

    My answer If a < 15 the a < 10 false counter example a = 12 and a > 10

  88. Which of the following types of statements can explain the steps of a proof? Check all that apply.

    A. Corollaries B. Conjectures C. Definitions D. Postulates

  89. what is the value of x in the diagram?

    A. 1/2 B. 4/21 C. 2 D. 4 The fractions for cross multiplication are 9/4x-2 and 12/3x+2 I tried to do it but it was not an answer and i dont know what i did wrong

  90. 9. what are the lateral area and the surface area of the cone shown below 14ft 17ft?

    ~LA=615.8 ft2; SA=1,803.3 ft2 ~LA=615.8 ft2; SA=3,166.7 ft2 ~LA=1,187.5 ft2; SA=1,803.3 ft2 ~LA=1,187.5 ft2; SA=3,166.7 ft2 12. Find the volume of the cylinder in terms of

  91. 4. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale. 9.49m, 37m, 9m, 3m

    795m2; 809m2 758m2; 849m2 795m2; 822m2 758m2; 822m2

  92. A cylindrical container of paint with a radius of 6 inches is 15 inches tall. If all of the surface area except the top are made of metal, how much metal is used to make the container? Assume the thickness of the material is negligable. Round to the

  93. 1) If m1 = 37°, what is the measure of 4?

    a. 53° b. 43° c. 37° d. 27° 2) If m1 = 40°, what is the measure of 5? a. 50° b. 40° c. 35° d. 25° 3) If m4 = 105°, then what is the m8? a. 105° b. 75° c. 175° d. 25° My Answer..... 1) b. 43° 2) a)

  94. You are designing dinnerware. What is the length of a side of the smallest square plate on which a 20-cm chopstick can fit along a diagonal without any overhang?

  95. I don't undestand this question in my geometry textbook. Could nayone explain it to me?

    Can you fit all of the interior angles of a quadrilateral around a point without overlap? What about the interior angles of a pentagon?

  96. A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground. If the cable forms a 60 degree angle with the ground, how high up the pole should the cable be attached?

  97. Angles A and C are complementary, and angles C and B are supplementary. If Angle A = 45 degrees, what is the measure of angle B?

  98. @Ms.Sue help plz Use the figure. Assume that lines JL and MP are parallel.

    Name a pair of alternate interior angles. A. 3 and 4 B. 1 and 6 C. 3 and 6 D. 5 and 6

  99. What is the perimeter and area of a rectangle that has a width of 6 inches and length of 8 inches

  100. Write an equation of the line that pass through point P and is parallel to the line with the given equation.

    P(3,5); y=4

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