Download Test Review Angle Measures

Applied Geometry Test Review-Angle Measure
Name_________________________
I. Definitions. Students must match each word to its picture on the test.
a. Congruent angles
___1. Opposite angles with the same measure.
b. Vertex
___2. Lines that intersect, forming four 90 degree angles
c. Right Angle
___3. An angle with a measure less than 90 degrees
d. Linear Pair
___4. The sum of two angles equals 180 degrees
e. Obtuse Angle
___5. A segment or ray that divides an angle into two congruent angles
f. Complementary
___6. Adjacent angles that form a straight line
g. Acute Angle
___7. The sum of two angles is 90 degrees
h. Supplementary
___8. An angle with a measure greater than 90 degrees
i. Perpendicular Lines
___9. Angles that share a side and vertex, but share no interior points
j. Angle Bisector
___10. Angles with the same measure
k. Adjacent Angles
___11. An angle with a measure of 90 degrees
l. Straight angle
___12. An angle with a measure of 180 degrees formed by opposite rays
m. Vertical Angles
___13. The common endpoint of an angle
*There will be a section of the test where students must look at a figure and decide if statements are true
or an assumption. For example, the statement an angle is 90 degrees can only be true without protractor
measure if the right angle box is inside the angle. Also, two segments are only congruent without ruler
measure if congruency is indicated on the figure.
Name a pair of vertical angles.
Name the following angles in 4 different ways
14.
15.
1._________
2._________
3._________
4._________
16. Identify the following:
1._________
2._________
3._________
4._________
vertex: _______
sides: ________
III. Measure and classify the following angles using your protractor:
17.
18.
19.
______ _______
______ _____
______ ______
IV. Given: AD intersects BC at E. Find x and < AEB.
20.) m < AEB = 8x + 3
m < CED = 12x – 9
x = ______
m < AEB = ______
21.) m < AEC = 7x – 19
m < CED = x – 1
x = ______
m < AEB = ______
Applied Geometry Test Review-Angle Measure
Name_________________________
Given < ABC, Find x and m < ABC.
22.) m < ABD = 30
23.) m < ABC = 18x + 7
m < DBC = 3x + 12
m < ABD = 15x – 1
m < ABC = 9x
m < CBD = 8x – 37
x = ______
x = ______
m < ABC = ______
m < ABC = ______
Given BD bisects < ABC, find x and the desired angle.
24.) m < ABD = 5x – 17
m < CBD = 3x + 13
x = ______
m < ABC = ______
25.) m < ABD = 6x + 11
m < ABC = 14x + 2
x = ______
m < CBD = ______
Given < ABC is a right angle. Find x.
26.) m < ABF = 12x + 1
m < CBF = 3x + 14
x = ______
Find x and m < CBD.
28.) m < ABE = 11x + 9
m < EBD = 2x + 15
m < CBD = 7x + 16
x = ______
m < CBD= ______
27.) m < CBD = x + 28
m < EBD = 9x + 12
x = ______
29.) m < ABE = 6x + 13
m < CBD = 3x + 10
m < EBD = x – 3
x = ______
m < CBD = ______
Review
Solve for x and AB, if B is the midpoint of AC.
30.) AB = 4x + 8
AC = 184
x = ______ AB = ______
31.) Find the length of diagonal BC of ABCD to
the nearest hundredth. Circle the correct answer.
d = ( x − x)2 + ( y − y )2
Find the midpoint.
32.) A (3,5) B (7, -6)
 x+x y+ y
m=
,

2 
 2
mdpt = _____