NJGPA Applying Geometric Theorems 4

Question 1

In circle O, arc AB = 80° and arc CD = 40°. Two chords AC and BD intersect inside the circle at point E. What is the measure of angle AEB?

Accepted Answer

60°

Answer

80°

Answer

40°

Answer

120°

Question 2

The sum of interior angles of a polygon is 1440°. How many sides does the polygon have?

Accepted Answer

10

Answer

9

Answer

8

Answer

12

Question 3

Triangle RST is congruent to triangle UVW by SAS. RS = 8, ST = 10, and angle S = 45°. Which statement must be true?

Accepted Answer

UV = 8 and VW = 10

Answer

UV = 10 and VW = 8

Answer

angle U = 45°

Answer

angle W = 45°

Question 4

Point P is outside a circle. Two secants from P intercept arcs of 100° and 40°. What is the measure of angle P?

Accepted Answer

30°

Answer

70°

Answer

50°

Answer

20°

Question 5

In parallelogram ABCD, angle A = 65°. What is the measure of angle C?

Accepted Answer

65°

Answer

115°

Answer

90°

Answer

130°

Question 6

A 30-60-90 triangle has a hypotenuse of 10. What is the length of the shorter leg?

Accepted Answer

5

Answer

5√3

Answer

10√3

Answer

√5

Question 7

Two angles form a linear pair with measures (5x + 10)° and (7x + 2)°. What is x?

Accepted Answer

14

Answer

12

Answer

16

Answer

10