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Name
Class
4-4
Date
Practice
Form K
Using Corresponding Parts of Congruent Triangles
1. Developing Proof State why the two triangles are
congruent. Then list all other corresponding parts
of the triangles that are congruent.
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2. Developing Proof State why ∆AXY and ∆CYX are
congruent. Then list all other corresponding parts
of the triangles that are congruent.
3. Given: QS RT , R  S
Prove: QTS  TQR
To start, determine how you can prove the triangles are congruent.
The triangles share a side and have a pair of congruent angles.
alternate interior angles SQT and
Because QS
are congruent. The triangles can be proven congruent by AAS.
Statements
Reasons
1)
1) Given
2)
2) Alternate interior
3)
3) Reflexive Property of Congruence
4)
4) AAS
5)
5) Corresp. parts of 
are .
Reasoning Copy and mark the figure to show the given
information. Explain how you would prove AB  DE .
4. Given: AC  DC, B  D
5. Given: AE bisects BD , DB bisects AE
6. Given: AB DE , AC = EC
Prentice Hall Foundations Geometry • Teaching Resources
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are .
Name
Class
4-4
Date
Form K
Practice (continued)
Using Corresponding Parts of Congruent Triangles
7. Given: GK is the perpendicular bisector of FH .
Prove: FG  HG
Statements
Reasons
1) GK is the perpendicular bisector of FH .
1)
2)
2) Def. of perpendicular bis.
3) GKF  GKH
3) Def. of perpendicular bis;
all right
are .
4)
4) Refl. Prop. of 
5) ∆FGK  ∆HGK
5)
6)
6) Corresp. parts of 
are .
8. Given: ABCE is a rectangle.
D is the midpoint of CE .
Prove: AD  BD
Statements
1) ABCE is a rectangle. D is
the midpoint of CE .
Reasons
1) Given
2) AED  BCD
2) Definition of rectangle
3) AE  BC
3) Definition of rectangle
4)
4)
5)
5)
6)
6)
Prentice Hall Foundations Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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