AnswersGeometry - Semester 1 PathwaysLinear Pairs and Vertical Angles

Lesson 1: Linear Pairs and Vertical Angles Answers

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5

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
6

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.
10

In which diagram are angles 1 and 2 vertical angles?

A
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
Option A
B
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
Option B
C
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
Option C
D
A horizontal line intersect with another line forming 4 angles. Labeled clockwise from top-left: 1, 2, blank, blank.
Option D

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Lesson 1: Linear Pairs and Vertical Angles…