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Chapter 5

Congruent Triangles. Chapter 5. KEY TERMS Corresponding parts Congruent figures Proof Distance from a point to a line Equidistant Perpendicular bisector Reflection Line of symmetry. KL. LN. NM. KM. D. ANSWER. Vocabulary Check. Chapter Readiness.

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Chapter 5

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  1. Congruent Triangles Chapter 5 • KEY TERMS • Corresponding parts • Congruent figures • Proof • Distance from a point to a line • Equidistant • Perpendicular bisector • Reflection • Line of symmetry

  2. KL LN NM KM D ANSWER Vocabulary Check Chapter Readiness • Which segment in the figure is the hypotenuse?

  3. Use the diagram at the right to determine which of following statements is true. 3. Ifm<FGH = 100° andGJ bisects<FGH,what is m<FGJ? 2. G D ANSWER ANSWER < 3  < 7 < 1  < 8 < 5  < 2 <7  < 2 90° 50° 100° 25° Skill Check Chapter Readiness

  4. CORRESPONDING PARTS Congruence and Triangles • Today’s Essential Questions: • How can I identify corresponding angles of congruent triangles? • How can I identify corresponding sides of congruent triangles?

  5. Given that JKL  RST, list all corresponding congruent parts. Ex. 1 List Corresponding Parts

  6. b. Write a congruence statement. a. The two triangles are congruent. Identify all corresponding congruent parts. Ex. 2 Write a Congruence Statement

  7. b. List the letters in the triangle names so that the corresponding angles match. One possible congruence statement is ∆ ABC∆ FDE. Ex. 2 Write a Congruence Statement

  8. In the diagram, ∆PQR ∆XYZ. Ex. 3 Find the length ofXZ. Find m < Q. Use Properties of Congruent Triangles a. b.

  9. 1. Given ∆STU ∆YXZ, list all corresponding congruent parts. Checkpoint Listing Corresponding Parts

  10. 2. Given ∆ABC  ∆DEF, find the length of DF and m<B. Checkpoint Applying Corresponding Parts

  11. 3. IDENTIFYING CORRECT CONGRUENCY STATEMENTS Which congruence statement is correct? Why? Checkpoint ∆JKL  ∆MNP A. ∆JKL  ∆NMP B. ∆JKL  ∆NPM C.

  12. Checking for Congruence Understand Triangles are congruent if their corresponding parts are congruent. That is, if all three sets of sides and angles are congruent, the triangles are congruent.

  13. Ex. 4 Determine Whether Triangles are Congruent Use the two triangles shown below. a. Identify all corresponding congruent parts. Determine whether the triangles are congruent. If they are congruent, write a congruence statement. b.

  14. Inthe figure, HG ||LK. Determine whether the triangles are congruent. If so, write a congruence statement. Ex. 5 Determine If Triangles are Congruent

  15. 5.1 Discussion: Small Groups • p. 236 #1-13. Please discuss out loud. • Then solve #14-26 even.

  16. Inthe figure, XY ||ZW. Determine whether the two triangles are congruent. If they are, write a congruence statement. Exit Slip Determine If Triangles are Congruent

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