Answers1206310 Geometry Sem 1 - CarlisleMeasuring Length and Angles

Linear Pairs and Vertical Angles Answers

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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.

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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.
4

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
9

Given: mADE = 60° and mCDF = (3x + 15)°Prove: x = 15

Question illustration
A
Statement: 60 = 3x + 15; Reason: substitution
B
Statement: x = 15; Reason: subtraction property of equality
C
Statement: 60 = 3x + 15; Reason: transitive property
D
Statement: x = 15; Reason: subtraction and division properties of equality

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