4-3 Congruent Triangles - Weebly

Name ________________________________________ Date __________________ Class__________________

LESSON Reteach

4-3 Congruent Triangles

Triangles are congruent if they have the same size and shape. Their corresponding parts, the angles and sides that are in the same positions, are congruent.

Corresponding Parts Congruent Angles Congruent Sides

A J B K C L

AB JK BC KL CA LJ

To identify corresponding parts of congruent triangles, look at the order of the vertices in the congruence statement such as UABC UJKL.

Given: UXYZ UNPQ. Identify the congruent corresponding parts.

1. Z ______________________

2. YZ ______________________

3. P ______________________

4. X ______________________

5. NQ ______________________

6. PN ______________________

Given: UEFG URST. Find each value below.

7. x = ______________________ 9. mF = ______________________

8. y = ______________________ 10. ST = ______________________

Original content Copyright ? by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

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Holt Geometry

Name ________________________________________ Date __________________ Class__________________

LESSON Reteach

4-3 Congruent Triangles continued

You can prove triangles congruent by using the definition of congruence. Given: D and B are right angles.

DCE BCA

C is the midpoint of DB.

ED AB, EC AC Prove: UEDC UABC Proof:

Statements

Reasons

1. D and B are rt. s . 2. D B 3. DCE BCA 4. E A

1. Given 2. Rt. Thm. 3. Given 4. Third s Thm.

5. C is the midpoint of DB .

5. Given

6. DC BC

6. Def. of mdpt.

7. ED AB, EC AC

7. Given

8. UEDC UABC

8. Def. of Us

11. Complete the proof. Given: Q R P is the midpoint of QR. NQ SR, NP SP Prove: UNPQ USPR Proof: Statements

1. Q R

2. NPQ SPR

3. N S

4. P is the midpoint of QR.

5. d. ____________________________

6. NQ SR, NP SP

7. UNPQ USPR

Reasons 1. Given 2. a. _____________________________ 3. b. _____________________________ 4. c. _____________________________ 5. Def. of mdpt.

6. e. _____________________________ 7. f. _____________________________

Original content Copyright ? by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

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Holt Geometry

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