3.7.1 - Test: Similarity Unit Test Part 1
Q1. The Sears Tower in Chicago is 1,450 feet tall. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower?
A. 1:725
B. 725:1
C. 12:725
D. 725:12
Q2. Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scale.
A. TUWV ~ DEFG; 4.5:2.8
B. TUWV ~ EFGD; 6:2.1
C. TUWV ~ DEFG; 6:4.5
D. The polygons are not similar
Q3. What similarity statement can you write relating the three triangles in the diagram?
A. ΔRST ~ ΔSRU ~ ΔSUT
B. ΔRST ~ ΔRUS ~ ΔSUT
C. ΔSUT ~ ΔSRU ~ ΔRTS
D. ΔRTS ~ ΔRSU ~ ΔTUSQ4.
Q4. What are the values of a and b?
A. a=400/21, b=580/21
B. a=400/21, b=20/21
C. a=580/21, b=29/21
D. a=20/21, b=580/21
Q5. What is the value of x to the nearest tenth? The figure is not drawn to scale.
A. x = 35.6
B. x = 10.5
C. x = 4.9
D. x = 1.5Q6.
Q7. Are the two triangles similar? How do you know?
A. no
B. yes; by AA ~
C. yes; by SAS ~
D. yes; by SSS ~
Q8. What is the geometric mean of 3 and 7?
A. square root of 21
B. 2 square root of six
C. 2 square root of 7
D. 21
Q9. What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale.
A. 24
B. square root of 24
C. 143
D. square root of 143
Q10. What is the solution to the proportion? 6/11=m/121
A. 66
B. 11
C. 1/66
D. 1
Q11. What is the value of x, given that PQ || BC?
A. 10
B. 5
C. 7
D. 8
Essay Q12. Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high. Her paper is 12 in. wide and 24 in. tall. She decides to use the scale 1 in. = 4 in. Is this a reasonable scale?
Essay Q13.Complete the proof.
Given: AB · BE = CB · BD
Prove: ΔABC ~ ΔDBE
1. AB * BE = CB * BD | 1. Given
2. CB/BE=AB/BD | 2. Property of?
3. Angle ABC is congruent to Angle DBE | 3. ?
4. Triangle ABC ~ Triangle DBE | 4. ?
I would really appreciate the help, thank you to who ever helps in advance.
also @oobleck don't be rude
Wow! those are a lot :o I don't know all these answers yet, but if I do, ill post them here 😁
It is confusing, but please be more nice since it is. This person might be struggling with these questions.
So... alot of these answers are wrong
Ok so for the 2nd question, the answer is D
wow, still no answers :/
Idk the first one....
I appreciate your help :D
But if you need a website that can help with those, you can use brainly
Ok, thanks
sorry this is confusing
yeah, I cant help with the questions that need pictures :(
hmm let me see
ummmm where are the pictures
Oh, you need the pictures?
Also, someone used my name and used improper grammar.
Oh, ok, sorry
Thanks for your help though!
Your welcome :) Have a nice day and stay safe and I hope somebody answers your questions!
Have a heavenly day!
Yeah, I didn't even wrote that. Please try to be more positive this is hard
thank you Yuor wdlcome UsU!! Apriceate it
It is indeed confusing, since on most of the questions, important information is not given. No figures or drawings can be posted on this site.
1. D) 1:727
2. D) The polygons are not similar
3. B) RST~RUS~SUT
4. B) x=9/4, y=15/4
5. C) x=9.6
6. B) Sometimes
7. C) Yes; by SAS ~
8. D) Square root of 77
9. B) 27
10. C) Square root of 105
11. B) 25
12. B) 5
13. No because 48:120 and 12:24 aren't equivalent ratios. (You can write an explanation.)
14. A) Angle H is equal to angle B.
B) GH/DJ = AB/DC
15. 5 feet tall -
6/108 = x/90
108x = 540
x = 5 feet tall
16. You don't need a side-splitter theorem. Use a ratio to solve for x.
17. 2) Property of cross multiplication
3) Vertical Angles
4) SAS property of similarity
Hope this helps sorry if I'm late :/