Download 4.4 Form K Practice - Verona Public Schools

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.
2. Developing Proof State why the two triangles 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 ∆AXY and ∆CYX are
congruent. The triangles share a side and have a pair of congruent
angles. Because QS
alternate interior angles SQT and
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 
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 Geometry • Teaching Resources
are .
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. Developing Proof Complete the proof.
Given: WVZ and VWX are right angles.
WZ  VX
Prove: VZ  WX
To prove that right triangles WVZ and VWX are congruent,
you must prove that the hypotenuses are congruent and that
one
is congruent.
Statements
Reasons
1)
1) Given
2)
2) Given
3)
3) Reflexive Property of Congruence
4)
4) ______________________
5) _____
5) _____________________
Prentice Hall Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
36