4 6 Use Congruent Triangles Properties of Congruent

4. 6: Use Congruent Triangles

Properties of Congruent Triangles A B D C E What pairs of angles and sides are congruent? F

Using CPCTC: • Once you know that triangles are congruent, you can make conclusions about corresponding sides and angles because Corresponding Parts of Congruent Triangles are Congruent (CPCTC). Ex. 1: Suppose you know that by SAS. Which additional pairs of sides and angles are congruent by CPCTC? A B D C

Example 2: Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem would you use? <ACB <DCB A B C D

Example 3: Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem would you use? <PLM <PNO M N P L O

Example 4: Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem would you use? MJ ML K J M L

Example 5: Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem would you use? ML ON M L N O

Example 6: Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem would you use? BC DA B A C D

Example 7 Is enough information given in the figure to show that the given statement is true? B C A D E B C

Example 8 Is enough information given in the figure to show that the given statement is true? A C D A E B C

Given: WZ YZ and X is the midpoint of WY Prove: W Y Statements Reasons 1. 2. 3. 4. 5. 6. Y Z X W

Q Given: QR SR and PR bisects SRQ Prove: PS PQ P Statements Reasons 1. 2. 3. 4. 5. 6. R S