3.5 Overlapping Triangles

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Presentation transcript:

3.5 Overlapping Triangles

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.

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

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

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

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

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

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.

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