Answers1206310 Geometry Sem 1 - CarlisleLinear Pairs and Vertical Angles

Linear Pairs and Vertical Angles Answers

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In the diagram, which angles are vertical angles? Select two options.

A
ABE and ABC
Option A
B
ABE and CBD
Option B
C
ABE and EBD
Option C
D
ABC and EBD
Option D
E
ABC and CBD
Option E
6

Given: mEDF = 120°; mADB = (3x)°; mBDC = (2x)°Prove: x = 24

Question illustration
A
vertical angles are congruent
B
substitution
C
definition of congruency
D
definition of equality
7

Given: mORP = 80° mORN = (3x + 10)°Prove: x = 30

Question illustration
A
ORP and ORN are a linear pair
Option A
B
ORP and ORN are vertical angles
Option B
C
80 = 3x +10
D
x = 30
9

3 lines are shown. A line with points P, R, N intersects a line with points O, R, M at point R. A line extends from point R to point L in between angle M R P.

Question illustration
A
He is correct. The angles share a common vertex so they are a linear pair.
B
He is correct. The angles share a common ray so they are a linear pair.
C
He is incorrect. Angle ORP does not form a linear pair with another angle in the diagram.
D
He is incorrect. Ray RO and ray RL are not opposite rays.

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