NJGPA Applying Geometric Theorems 3

Question 1

A tangent and a secant are drawn from an external point to a circle. The tangent has length 8 and the external segment of the secant is 4. What is the length of the whole secant?

Accepted Answer

16

Answer

12

Answer

20

Answer

8

Question 2

In a regular hexagon, what is the measure of each interior angle?

Accepted Answer

120°

Answer

108°

Answer

135°

Answer

90°

Question 3

Line segment MN has midpoint P. If M is at (2, 4) and P is at (5, 7), what are the coordinates of N?

Accepted Answer

(8, 10)

Answer

(3, 3)

Answer

(7, 11)

Answer

(6, 9)

Question 4

In triangle XYZ, XY is parallel to a line segment connecting the midpoints of XZ and YZ. If XY = 14, what is the length of the midsegment?

Accepted Answer

7

Answer

14

Answer

28

Answer

21

Question 5

Angles A and B are vertical angles. If angle A = (3x + 10)° and angle B = (5x − 6)°, what is x?

Accepted Answer

8

Answer

6

Answer

4

Answer

10

Question 6

A rectangle has a diagonal of 13 cm and a width of 5 cm. What is its length?

Accepted Answer

12 cm

Answer

8 cm

Answer

10 cm

Answer

11 cm

Question 7

Two triangles are similar. The sides of the smaller triangle are 3, 4, and 5. The longest side of the larger triangle is 20. What is the perimeter of the larger triangle?

Accepted Answer

48

Answer

36

Answer

40

Answer

60