HONORS GEOMETRY—TEST—CHAPTER 4



HONORS GEOMETRY—TEST Review—CHAPTER 4

NAME: ___________________________ DATE: ________ PERIOD: ____

# 1. What term can be used to describe a triangle that has no congruent sides?

_______________

# 2. What term can be used to describe a triangle whose angle measures are 30(,

120( , and 30(. ___________ AND _________

USE THE GIVEN INFORMATION TO DECIDE WHETHER THE TWO TRIANGLES ARE CONGRUENT. IF SO, COMPLETE THE CONGRUENCE STATEMENT AND NAME THE CONGRUENCE TEST. IF NOT, CHECK “NOT CONGRUENT”.

# 3. GIVEN: XW ( WZ; XY ( YZ;

XW ( XY

( XWZ ( ( ___________ by _______

- OR - __________ NOT CONGRUENT

# 4. GIVEN: X is the midpoint of BC

X is the midpoint of AD

( ABX ( ( _______ by ________

- OR - _________NOT CONGRUENT

# 5. A method that can be used to prove right triangles congruent but cannot be

used with other types of triangles, is the ____________ method.

# 6. W is the midpoint of YZ. What additional

information is needed to prove

( XYW ( ( XZW by the SSS method?

______________________

HONORS GEOMETRY—CHP. 4—TEST Review—PAGE 2

# 7. You are given the following information about ( QST and ( WXY.

I. QS ( WX II. ST ( XY III. QT ( WY IV. ( T ( ( Y

Which combination of statements CANNOT be used to prove

( QST ( ( WXY? _______

(A.) I, II, and IV (B.) II, III, and IV (C.) I, II, and III

(D.) All of these combinations can be used to prove ( QST ( ( WXY

# 8. What must be true for ( ABC ( ( EDC

by SAS? ________

(A.) AC ( CE (B.) ( A ( ( E

(C.) ( B ( ( D (D.) AB ( DE

# 10. x = ____ # 12.

x = _____

# 13. x = ______ # 14.

x = ______

# 19. ( ABC ( ( DEF, AB = 24 feet, m ( B = 43(, and m ( F = 31(, which

of the following statements is false? _______

(A.) ( D ( ( A (B.) m ( A = 106( (C.) FD = 24 feet (D.) ED = AB

HONORS GEOMETRY—CHP. 4—TEST Review—PAGE 3

# 20. WRITE A TWO-COLUMN PROOF IN THE SPACE PROVIDED:

GIVEN: CB bisects ( ACD; ( 1 ( ( 2

PROVE: AC ( DC

STATEMENTS REASONS

1) CB bisects ( ACD; ( 1 ( ( 2 1) Given

# 21.

GIVEN: BD ( EC; AC ( AD

PROVE: AB ( AE

STATEMENTS REASONS

1) BD ( EC; AC ( AD

-----------------------

W

X

Y

Z

A

B

X

C

D

X

Y

W

Z

A

B

C

D

E

x + 1

3 x – 4

2 x + 1

40(

3 x(

4 x(

(5 x + 15)(

53(

64(

x(

B

A

C

D

1

2

A

B

C

D

E

1

2

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