1. 3.5 Overlapping Triangles

2. Steps: 1. Mark the given information on your
diagram and write the givens in your proof.
2. Do anything the givens tell you to do (aka if
given bisection, state the now congruent segments or angles).
3. Decide which triangles you will be able to
prove congruent.
4. Re-Draw the triangles our corresponding and
hopefully use CPCTC to finish the proof.

3. Mark the given information. P W M T W M P T S W M
Mark the given information.
Decide which triangles we can prove congruent.
Re-Draw the triangles so they are corresponding T M W

4. Statements Reasons 1. Given 2. Reflexive Prop. 3. SSS 4. CPCTC P W M T

5. Mark the given information. J H J K G H
Mark the given information.
Decide which triangles we can prove congruent.
Re-Draw the triangles so they are corresponding J H G

6. Statements Reasons 1. GivenF G H J H G
Statements
Reasons
1. Given
If 2 angles are rt. angles, then they are congruent.
3. Reflexive Prop.
4. SAS

7. Mark the given information. P O T S R P T S T P R
Mark the given information.
Decide which triangles we can prove congruent.
Re-Draw the triangles so they are corresponding P R S T

8. Statements Reasons N S O T P R 1. Given
If a figure is =lateral, then all sides are congruent.
3. Reflexive Prop.
4. SAS
5. CPCTC
Subtraction Property
If congruent segments are subtracted from congruent segments, then their differences are congruent.

9. Homework
p. 135 # 5 – 11 odd
p. 140 # 5, 9 – 12
Study for QUIZ!!!!!