Please match the following vocabulary words to the correct definitions. (6 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Supplementary
Perpendicular
Bisector
Complementary
Collinear
Coplanar
Angles that add up to be 180 degreesPoints that lie on the same planePoints that lie on the same lineA line, ray or segment that divides an angle or segment into two equal partsAngles that add up to be 90 degreesTwo lines, segments or rays that meet at a 90 degree angle
Supplementary: Angles that add up to be 180 degrees
Collinear: Points that lie on the same line
Coplanar: Points that lie on the same plane
Bisector: A line, ray or segment that divides an angle or segment into two equal parts
Complementary: Angles that add up to be 90 degrees
Perpendicular: Two lines, segments or rays that meet at a 90 degree angle
The midpoint of UV¯¯¯¯¯¯¯¯
¯
is (4,3). The coordinates of one endpoint are U (11, -2). Find the coordinates of the other endpoint, V. (1 point)
Responses

(-7,-2)
(-7,-2)

(-3,8)
(-3,8)

(7.5, -.5)
(7.5, -.5)

(-6,4)
(-6,4)
Given the points below, find the distance from X to Y. Round to the nearest hundredth.
X(-9,2) and Y(5, -4)
(1 point)
Responses

15.2
15.2

4.5
4.5

7.2
7.2

13.8
13.8
<1 and <2 are supplementary angles. m<1 is 2y+12 and the m<2 is 8y+8. Find m<2. You must show all steps and work in order to receive full credit.
Given that angles <1 and <2 are supplementary angles, their measures should add up to 180 degrees.
So, we have the equation:
m<1 + m<2 = 180
Substituting the given measures:
(2y + 12) + (8y + 8) = 180
Combining like terms:
10y + 20 = 180
Subtracting 20 from both sides:
10y = 160
Dividing both sides by 10:
y = 16
Now, we can find the measure of angle <2 by substituting the value of y back into the equation for m<2:
m<2 = 8y + 8
m<2 = 8(16) + 8
m<2 = 128 + 8
m<2 = 136
Therefore, the measure of angle <2 is 136 degrees.