MATH 8 CUA REVIEWER
1. In the figure below, line m is parallel to line n, and line t is a transversal
crossing both m and n. Which of the following lists has 3 angles that are all
equal in measure?
A.
B.
C.
D.
E.
∠a, ∠b, ∠d
B. ∠a, ∠c, ∠d
C. ∠a, ∠c, ∠e
D. ∠b, ∠c, ∠d
E. ∠b, ∠c, ∠e
2. Angles A and B are complementary and the measure of angle A is twice the
measure of angle B. Find the measures of angles A and B,
3. Find the measure of angle A in the figure
below.
4. ABC is a right triangle. AM is perpendicular to BC. The size of angle ABC is
equal to 55 degrees. Find the size of angle MAC.
5. Find the size of angle MBD in the
figure below.
6. ABC is a right triangle with the size of angle ACB
equal to 74 degrees. The lengths of the sides AM,
MQ and QP are all equal. Find the measure of angle
QPB.
7. As shown in the figure below, ∆ABC is isosceles with the
length of AB equal to the length of AC. The measure of
∠A is 40° and points B, C, and D are collinear. What is
the measure of ∠ACD ?
A.
B.
C.
D.
E.
70°
B. 80°
C. 110°
D. 140°
E. 160°
8. If the measure of the exterior angle is (3x - 10) degrees,
and the measure of the two remote interior angles are 25
degrees and (x + 15) degrees, find x.
9. Find the value of the interior angle.
10.If M is the midpoint of AB , AM = x2 + 24 and MB = 10x, find the length of
AB .
11.
PR bisects ST at Q. PQ = 4x + 12, QR = 9x – 13, SQ = 6x – 5 and QT =
3x + 16. Find the length of PR .
12.
Given: MATH , A is the midpoint of MT , MH = 21 and AH = 15. Find
TH.
Complete the following proof by filling in the blanks.
13.
Given: Angle 1 and Angle 2 are supplementary
Prove: n is parallel to m
Statements
Reasons
1) Angle 1 and Angle 2 are supplementary.
1)______________________
2) Angle 1 and Angle 3 are a linear pair.
2)______________________
3)_____________________________
3)
4)_____________________________
4)
5) n is parallel to m.
5) ______________________
If A,B,C, and D are points on a line, in the given order, and AB=CD, then AC=BD.
Statements
Reasons
Given: BF−→ bisects ∠ABC; ∠ABD≅∠CBE
Prove: ∠DBF≅∠EBF
Statements
Reasons
Given: YX WX ≅ ZX bisects ∠YXW Prove: YZ ≅ WZ
Statements
Reasons