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Chapter 5 Final Review – Geometry

Total questions: 15

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

Which statement is not necessarily true? Given: DE is the perpendicular bisector of JL.

a)

DK = KE

b)

DE is perpendicular to JL

c)

K is the midpoint of JL

d)

DJ = DL

2.

Which statement can you conclude is true from the given information? Given: AB is the perpendicular bisector of IK.

a)

AJ = BJ

b)

∠IAJ is a right angle

c)

IJ = JK

d)

A is the midpoint of IK

3.

Which diagram shows a point P an equal distance from points A, B, and C?

a)

diagram a

b)

diagram b

c)

diagram c

d)

diagram d

4.

Where can the perpendicular bisectors of the sides of a triangle intersect?

I. inside the triangle II. on the triangle III. outside the triangle

a)

I only

b)

II only

c)

I or II only

d)

I, II, or III

5.

Where can the medians of a triangle intersect?

I. inside the triangle II. on the triangle III. outside the triangle

a)

I only

b)

III only

c)

I or III only

d)

I, II, or II

6.

What is the orthocenter of the triangle with two altitudes given by the lines x = −1 and y = x + 1?

a)

(−1, 0)

b)

(0, −1)

c)

(−1, −2)

d)

none of these

7.

Find the value of x.

a)

4

b)

8

c)

6.6

d)

6

8.

Find the value of x. The diagram is not to scale.

a)

32

b)

50

c)

64

d)

80

9.

B is the midpoint of AC, D is the midpoint of CE, and AE = 21. Find BD. The diagram is not to scale.

a)

42

b)

21

c)

11.5

d)

10.5

10.

DF bisects ∠EDG. Find the value of x. The diagram is not to scale.

a)

23/42

b)

90

c)

30

d)

6

11.

Point D is the circumcenter of the triangle. segments GD,‾ FD,‾ ED‾\overline{GD,}\ \overline{FD,}\ \overline{ED} are all

a)

medians

b)

perpendicular bisectors

c)

altitudes

d)

angle bisectors

12.

What is point D?

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

13.

What is point D?

a)

orthocenter

b)

centroid

c)

circumcenter

d)

incenter

14.

what is point D?

a)

centroid

b)

circumcenter

c)

orthocenter

d)

incenter

15.

What is point D?

a)

circumcenter

b)

centroid

c)

incenter

d)

orthocenter