1. Given DJKL, find mÐL.

(4x + 11)°

(2x + 7)°

(13x – 9)°

J

KL

A. 43°B. 47°

C. 52°D. 55°

2. Given DXYZ, if and mÐY = 22°, find mÐZ.

X

Y

Z mÐZ =

XY YZ@

3. Which of the following side lengths could form a triangle? Check all that apply.

7, 7, 15 16, 3, 8

21, 24, 43

16, 14, 9

10, 21, 11

32, 35, 39

4. Jasmine is making a triangular garden. Two sides of the garden measure 6 feet by 11 feet. What is the range of possible lengths, in feet, for the third side, x, of the garden?

< x <5. A triathlon event in which participants

run, bike, and swim certain distances is mapped out in a triangle as shown below.

6. In DDEF, DE = 29 feet, EF = 26 feet, and DF = 32 feet. Which correctly gives the order of the angle measures from largest to smallest?

A. ÐE, ÐF, ÐD

B. ÐF, ÐD, ÐE

C. ÐD, ÐF, ÐE

D. ÐE, ÐD, ÐF

7. If DCMD ≅DRWY, what must be true?

A. mÐC = mÐY

B. mÐD = mÐR

C. CD = RY

D. MD = RW

57°65°

Run

Bike

Swim

Which statement must be true?

A. The run distance is greater than the swim distance.

B. The bike distance is less than the run distance.

C. The swim distance is less than the bike distance.

D. The bike distance is greater than the run distance.

First Semester

9. Which pair of triangles are similar?

10. List the consecutive sides for this quadrilateral.

Reasons Bank:A. GivenB. Reflexive PropertyC. Alternate Interior AnglesD. Corresponding AnglesE. Angle-Side-AngleF. Angle-Angle-Side

Statements ReasonsReasons1.

2.

3.

4. DJKL ≅DLMN 4.

3.

2.

1.

Complete the proof of DJKL ≅ DLMN by writing the letter of the reason in the box.

Reasons may be used more than once. Not all reasons will be used.

J

K

L

M

N

11. Given: , ,JK LM KL MN JK LM@

,JK LM KL MN

;KJL MLN KLJ MNLÐ @ Ð Ð @ Ð

JK LM@

8. Given: DLMN ~ DQPR, find RQ.

L

M

N

8

x + 7

x + 5

P

QR

12

2x + 5

2x + 2

A. 11B. 24C. 27D. 32

A. B.9

24

8

21

14 12

4249

84°

38° 84°

62° 86

10

B.D.

12. Which condition would not proveDKML ~ DJNL?

J

N

LK

M

A. C.

B. D.

LKM LJNÐ @ Ð JN KM

KM KLJN ML

=KL MLJL NL

=

A

D

B

C

13. Given: bisects ÐWXY and ÐWZY.XZ

X Z

Y

W

Based on the information given, which triangle congruence theorem could be

used to prove DXWZ ≅DXYZ?

A. Side-Angle-Side C. Angle-Angle-SideB. Angle-Side-Angle D. Side-Side-Side

14. Which pair of triangles cannot be proved congruent?

A. B.

C. D.

15. What piece of information would prove DACE ≅DBDE by Side-Angle-Side?

A

BC

D

E

A. E bisects and C.

B. D.

AB CD

AC DBAC DB@

ACE BDEÐ @ Ð

17. Given DABC , please tell me why m<ABR is greater than m<C. Hint: it is a theorem.

Reasons Bank:

A. Given E. Definition of an angle bisectorB. Reflexive Property F. Side-Angle-SideC. Alternate Interior Angles G. Angle-Side-AngleD. C.P.C.T.C

Statements ReasonsReasons1

2.

3.

4. ∠TCM ≌∠MCV 4.

3.

2.

1.

Complete the proof by writing the letter of the reason in the box. Reasons may be used

more than once. Not all reasons will be used.

16. Given: ∠1 ≅∠2,TM≅MV

Prove: MC is a bisector of ∠TCV

A

CB

R

KL

M

N

1 2

∠1≌ ∠2,TM≌MVMC≌MC

△TMC ≌VMC

5. MC is a bisector of ∠TCV 5.