Cumulative Review Chapters 1 – 3 Name: ________________________________ Honors Geometry 1) Use the picture below to answer the following questions:

a) CE CF = ___________

b) CB BE = ___________

c) DF CA = ___________

c) CB AD = ___________

For questions 2 – 5, determine if the statements are sometimes, always, or never true. 2) The supplement of an angle is larger than its complement. 3) Vertical angles can be supplementary. 4) The acute angles of a scalene right triangle are congruent. 5) In an isosceles triangle, the bisector of the vertex angle also bisects the base. 6) Find the supplement and complement of 39°46’30”. Write your answers in terms of DEGREES only. 7) The sum of an angle plus its complement plus its supplement is 200° more than the angle. Find the supplement of the angle. 8) The supplement of the complement of an angle is 132°. What is the supplement of the angle?

A

B C

D

E

F

9) An acute angle of a triangle measures (40 – 2x)°. Find the restrictions on x. 10) The measures of two complementary angles are in the ratio of 4:11. Find the measure of the supplement of the smaller angle.

11) Given: AD is the altitude to CB

AD is the median to CB Find: The value of x and y 12) Find the restrictions on x.

16 21

x - 3

C

A

D B

7x+2y 3x - 4y(x+y)˚

13) Given: Circle O and Circle P Prove: OAP OBP Statements Reasons 14) Given: ΔABC is isosceles with base BC

BD EC 3 4

Prove: 1 2 Statements Reasons

O P

A

B

C D

2 E

A

B 1

3 4 M N

15) Given: Circle P

BC FE

AB FC

DE FC

PA PD Prove: C F Statements Reasons

16) Given: OG bisects HOA

AG bisects HAO HOB HAT

Prove: BOG TAG

Statements Reasons

P

C

A

B

D

E F

G

O A B

H

T