Name

Name _____________________ Unit 1 Test Review #1 1. Fill in the definition, label and draw a diagram, and name the figure. Type

Definition

Label & Draw a Diagram

Point

line

segment

ray

angle 2. Fill in the definition and draw an example for each angle relationship. Angle Pairs vertical angles

complementary angles

supplementary angles

adjacent angles

Definition

Example

Name

3. Use the diagram below to solve for the value of x and y. Show all work.

Solve for x. Show all work. 4.

o

(4x + 20) (2x + 4)

5.

(8x + 20)o

o

(4x – 8)o

6. HJ = 25. a. Find x.

b.

Find HK.

c.

Find KJ.

d.

Find HJ.

5x – 12

x–5 H

K

7. K is between H and J, HK = 2x – 5, KJ = 3x + 4 and HJ = 24. What is the value of x?

8.

If P is the midpoint of ST , SP = x + 4 and ST = 4x, determine the length of ST .

J

9.

K is the midpoint of HJ , HK = x + 6 and HJ = 4x – 6. Find x and KJ.

 10. OB bisects AOC . Find the mBOC and mCOD .

B (9x – 2)○

A

C

(10x – 8)○

O

D

mBOC = ______ mCOD = _______

 11. DZ is inside CDE ; mCDZ  (4x  3)o , mZDE  (6 x  10)o , mCDE  (x  52)o . Find x, mCDZ , mZDE , and mCDE .

x = ______

mCDZ = _______

mZDE = _______

mCDE = _______

12. Use the diagram below to name the definition, property, postulate, or theorem that justifies each statement.  C Given: BF bisects GBE  HD  CF D 5 B 6 2 is supplementary to CBE 1

a. CB + BF = CF

b. 1  5

c. m2  mCBE  180o

d. DBF is a right angle

e. mEBF  mFBG  mEBG

f. mHBC  90o

E

2

3 F

A H

4 G

Answer Key 1. Check your own notes. 2. Check your own notes. 3. x = 35, y = 125 4. x = 26 5. x = 6.5 6. a. x = 7 b. 2 c. 23 d. 25 7. x = 5 8. ST = 16 9. x = 9, KJ = 15 10. mBOC  52o , mCOD  76o 11. x = 5, mCDZ  17o , mZDE  40o , mCDE  57o 12. a. Segment Addition Postulate b. Vertical s always  c. Definition of supplementary angles d. Definition of  lines e. Angle Addition Postulate f. Definition of right angles