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Name
4-1
Class
Date
Practice
Form G
Congruent Figures
Each pair of polygons is congruent. Find the measures of the numbered angles.
1.
2.
3.
CAT  JSD. List each of the following.
4. three pairs of congruent sides
5. three pairs of congruent angles
WXYZ  JKLM. List each of the following.
6. four pairs of congruent sides
7. four pairs of congruent angles
For Exercises 8 and 9, can you conclude that the
triangles are congruent? Justify your answers.
8. GHJ and IHJ
9. QRS and TVS
10. Developing Proof Use the information given in the diagram.
Give a reason that each statement is true.
a. L  /Q
b. LNM  QNP
c. M  P
d. LM  QP, LN  QN, MN  PN
e. LNM  QNP
Prentice Hall Gold Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
3
Name
Class
4-1
Date
Practice (continued)
Form G
Congruent Figures
For Exercises 11 and 12, can you conclude that the figures are congruent?
Justify your answers.
12. FGH and JKH
11. AEFD and EBCF
Algebra Find the values of the variables.
13.
14.
Algebra ABCD  FGHJ. Find the measures of the given angles or lengths of the
given sides.
15. mB = 3y, mG = y + 50
16. CD = 2x + 3; HJ = 3x + 2
17. mC = 5z + 20, mH = 6z + 10
18. AD = 5b + 4; FJ = 3b + 8
19. LMNP  QRST.
Find the value of x.
20. Given: . BD .is the angle bisector of ABC.
BD is the perpendicular bisector of AC .
Prove: ADB  CDB
Prentice Hall Gold Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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