Worksheet with Answers

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Unit 1 In-Class Review
1) Which of the following is NOT an example of an undefined term?
a. Line
b. Point
c. Plane
d. Parallel
2) In the figure below, angle 1 and angle 2 are supplementary. What theorem/postulate can be
used to prove lines m and n are parallel?
m
1
2
n
3) In the diagram above, if the measure of angle 1 is 70o, what is the measure of angle 2?
4) If lines m and n are parallel, what can you conclude about angles 1 and 2? State the
postulate/theorem.
1
m
2
n
5) In the diagram above, if the measure of angle 1 is 70o, what is the measure of angle 2?
6) Which property is demonstrated by the following: ̅̅̅̅̅
𝐴𝑀 ≅ ̅̅̅̅̅
𝐴𝑀
̅̅̅̅, then 𝑄𝑅
̅̅̅̅ ≅ ̅̅̅̅̅
7) Which property is demonstrated by the following: If ̅̅̅̅̅
𝐴𝑀 ≅ 𝑄𝑅
𝐴𝑀
̅̅̅̅ and 𝑄𝑅
̅̅̅̅ ≅ ̅𝑆𝑇
̅̅̅, then ̅̅̅̅̅
8) Which property is demonstrated by the following: If ̅̅̅̅̅
𝐴𝑀 ≅ 𝑄𝑅
𝐴𝑀 ≅ ̅̅̅̅
𝑆𝑇
9) Construct an angle bisector.
10) What is the equation of a line in slope-intercept form that is perpendicular to the line with
points (2, 3) and (-2, 1) and goes through the point (-3, 4)?
11) What is the equation of a line in slope-intercept form that is parallel to the line with points (2,
3) and (-2, 1) and goes through the point (-4, 3)?
12) What is the slope of a line parallel to the line 2x + 6y = 6?
13) Using the given line above, write an equation in point-slope form parallel to the given line and
through the point (-6, 8).
14) Sketch out the line x=3.
15) Find the distance between the points (6, 2) and (-7, 5). Leave your answer as a simplified
radical.
16) Point M is the midpoint of line segment QR. If M is (-2, 7) and Q is (3, 5), find the coordinates
for point R.
17) Find the area of a triangle with the vertices (0, 2), (0, 5), and (-4, 2).
18) In the diagram below, determine which of the following statement(s) is true:
I.
II.
III.
∡𝐴𝐵𝐶 ≅ ∡𝐶𝐵𝐷
∡𝐴𝐵𝐶 is complementary to ∡𝐶𝐵𝐷
∡𝐴𝐵𝐶 is supplementary to ∡𝐴𝐵𝐸
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