Angle Relationships and Planes
Finding Segment Lengths
Midpoint and Weighted Average
Partitioning a Segment
Vocabulary
100

True or False: Angle 1 and Angle A are vertical angles

True

100

Find the measure of EF

5.3 inches

100

Find the midpoint of MJ

8

100

Find point P such that the ratio of AP:PD is 1:1.

P=-3

100

What is it called when two lines intersect to form right angles?

Perpendicular

200

x=4

200

Find the value of b if Y is between X and Z.

𝑋⁢𝑌 =6⁢𝑏, 𝑌⁢𝑍 =8⁢𝑏, 𝑋⁢𝑍 =175

b=12.5

200

Find the midpoint of A and B if A is at (10, -5) and B at (-2, 3)

M(4, -1)

200

If the ratio of AP:PF is 2:3, what should the value of k be in your partitioning formula?

k=2/5

200

what is called when adjacent angles are supplementary

linear pair

300

Angle HBC = 61
300

Find the value of x if 𝑃⁢𝑄 ≅ 𝑅⁢𝑆, 𝑃⁢𝑄 =9⁢𝑥 −7, and 𝑅⁢𝑆 =29.

x = 4

300

Find the point P the weighted average of M and J if M has a weight of 3 and J has a weight of 1.

6

300

Find point P such that the ratio of BP:BF is 2:5

P=-1

300

where is a perpendicular bisector perpendicular to on a segment

the midpoint

400

Find the value of y.

y=21

400

Find the value of k and YZ if Y is between X and Z.

𝑋⁢𝑌=3⁢𝑘−2, 𝑌⁢𝑍=7⁢𝑘+4, 𝑋⁢𝑍=4⁢𝑘+38

k=6

YZ=46

400

Find the weighted average of the x coordinate for points Y and Z if the weight of Y is 1 and the weight of Z is 3. 

x=7

400

Find the x coordinate of point P if UP:PV is 3:4. Leave your answer as an improper fraction.

x=20/7 

400

Adjacent angles share a common __ and ___

side and vertex

500

Angle F and G are supplementary. Angle F is 40 more than 6 times the measure of angle G. What are the measures of angle F and G?

20 and 160
500

Let D be the midpoint if CE. Find the length of DE.

DE=26

500

Find the weighted average of point W and Z if W has a weight of 3 and Z a weight of 4. Round to the nearest hundredth if necessary.

(3.29, 0.64) or (23/7, 9/14)

500

Find point P such that the ratio of RP:RS is 1:3.

P(5/3, 4/3) or P(1.67, 1.33)

500

These kinds of angles are ALWAYS congruent

vertical angles

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