Name: ______Date: ______
Mr. Art Period: ______
Plane Geometry Review
1) Draw a picture of each of the following:
Line AB / Line Segment BC / Ray ORAcute Angle ABC / Right Angle 1 / Obtuse Angle G
Reflex Angle HIJ / Perpendicular Symbol / Parallel Symbol
2) Fill in each of the following blanks:
a) An acute angle is between ______and ______degrees
b) A right angle is ______degrees
c) An obtuse angle is between ______and ______degrees
d) Two angles that add to 90 degrees are called ______
e) Two angles that add to 180 degrees are called ______
f) Adjacent angles that add to 180 degrees are called
a ______or a ______.
3) Write true or false on the line next to each statement.
a) Two angles whose sum is 1800 are said to be complementary. ______
b) An angle that measures 120o is obtuse. ______
c) An angle that measures 200o is a reflex angle. ______
d) Two supplementary angles always a linear pair. ______
4) If two parallel lines are cut by a transversal and the m < 2 = 20o, label the measure of each of the other seven angles in the following diagram.
5)
Practice Test
Part I – Multiple Choice
1) In the accompanying diagram, line ℓ is parallel to line m, and line t is a transversal.
Which must be a true statement?
(1) (3)
(2) (4)
2) If the measure of an angle is represented by 2x, which expression represents the measure of its complement?
(1) 180 – 2x (3) 90 + 2x
(2) 90 – 2x (4) 88x
3) The accompanying diagram shows a football player crossing the 20-yard line at an angle of 30° and continuing along the same path.
What is the measure of angle B, where the player crosses into the end zone?
(1) 30° (3) 150°
(2) 60° (4) 180°
4) In the diagram below, line r and line t are parallel, and line p is a transversal.
What angles are supplementary?
(1) < 1 and < 3 (3) < 1 and < 2
(2) < 3 and < 6 (4) < 3 and < 4
5) The accompanying diagram shows two parallel roads, Hope Street and Grand Street, crossed by a transversal road, Broadway.
If what is the measure of
(1) 40° (3) 110°
(2) 70° (4) 180°
Part II – Short Answer
6) In the accompanying diagram, and intersect at E. If mAEC = 4x – 40 and
mBED = x + 50, find the value of each of the following:
a) x: ______
b) AEC: ______
c) CEB: ______
d) BED: ______
e) AED: ______
7) In the following diagram of parallel lines cut by a transversal, if m 3 = 80 0,
Find the measure of each of the remaining angles. (2 pts. each)
a) m 1 = ______
b) m 2 = ______
c) m 4 = ______
d) m 5 = ______
e) m 6 = ______
f) m 7 = ______
g) m 8 = ______
Part III – Long Answer
8) In the accompanying diagram, line a intersects line b.
Find x and every angle in the diagram.
9) In the following diagram, given that lines AB and CD are parallel and are cut by the
transversal FE, find the value of x.
10) Given: m < 1 = o and m < 2 = o. < 1 & < 2 are complementary angles. What is the value of x? What are the measures of each angle?
11) The measure of the supplement of an angle is 8 times the measure of the angle. Find the number of degrees in each angle.
12) Find the value of x.
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