AnswersOC27 GEO-1206310-Q1-Degele-OCIEuclidean Geometry

Linear Pairs and Vertical Angles Answers

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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
2
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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
3

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
4

3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to point C in between angle D F B. Angle A F E is 125 degrees and angle B F C is 45 degrees.

Question illustration
A
45°
B
80°
C
125°
D
135°
5

3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to point C in between angle B F D.

Question illustration
A
DFB
Option A
B
CED
Option B
C
BFC
Option C
D
AFB
Option D
7

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
8

2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. 4 angles are created. Clockwise, from the top, the angles are blank, (3 x) degrees, blank, (x + 40) degrees.

Question illustration
A
20
B
35
C
60
D
70
9

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
10

3 lines are shown. A line with points A, F, D intersects with a line with points B, F, E at point F. Another line extends from point F to point C in between angle B F D.

Question illustration
A
AFE and BFD
Option A
B
BFC and DFE
Option B
C
AFE and CFD
Option C
D
BFC and EFA
Option D
12

mSRW = °

Answer:

95

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