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Splash Screen. Five-Minute Check (over Lesson 11–1) Then/Now New Vocabulary Key Concept: Corresponding Parts of Congruent Triangles Example 1: Name Corresponding Parts Example 2: Real-World Example: Find Missing Measures Example 3: Identify Congruent Triangles. Lesson Menu.

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 11–1) Then/Now New Vocabulary Key Concept: Corresponding Parts of CongruentTriangles Example 1: Name Corresponding Parts Example 2: Real-World Example: Find MissingMeasures Example 3: Identify Congruent Triangles Lesson Menu

  3. In the figure, a║b and t is a transversal. If m3 = 37°, find m8. A. 37° B. 43° C. 137° D. 143° 5-Minute Check 1

  4. In the figure, a║b and t is a transversal. If m3 = 37°, find m7. A. 37° B. 43° C. 137° D. 143° 5-Minute Check 2

  5. If A and B are supplementary, mA = 3x – 7, and mB = 2x – 3, what is the measure of each angle? A.mA = 156°, mB = 24° B.mA = 107°, mB = 73° C.mA = 73°, mB = 107° D.mA = 34°, mB = 146° 5-Minute Check 3

  6. What is the value of x? A. 52.7 B. 47.3 C. 42.7 D. 37.3 5-Minute Check 4

  7. Which angles are alternate interior angles? A. 3 and 6 B. 3 and 2 C. 3 and 5 D. 3 and 4 5-Minute Check 5

  8. You identified triangles with congruent sides. (Lesson 9–3) • Identify corresponding parts of congruent triangles. • Identify congruent triangles. Then/Now

  9. congruent • corresponding parts Vocabulary

  10. Concept

  11. ΔDEF  ? Corresponding sides:DE  HG, DF  HI, EF  GI Name Corresponding Parts A.Name the corresponding parts in the congruent triangles shown. Then complete the congruence statement ΔDEF Δ ? . Corresponding angles:D  H, E  G, F  I Answer: The congruence statement is ΔDEF  ΔHGI. Example 1 A

  12. B.If ΔSTU ΔVWZ, name the corresponding parts. Then complete the congruence statement ΔTSUΔ___ ? Corresponding sidesST  VW, TU  WZ, US  ZV Name Corresponding Parts Use the order of the vertices in the congruence statement ΔSTU ΔVWZ to identify the corresponding parts. Corresponding anglesS V, T  W, U  Z Answer: The congruence statement is ΔTSU  ΔWVZ. Example 1 B

  13. A. Name the corresponding parts in the congruent triangles shown. Then complete the congruence statement ΔABC ____. ? A. B. C.D. Example 1 CYP A

  14. B. If ΔMNO ΔEFG, what other congruence statement is true? A.ΔMON ΔEFG B.ΔNMO ΔGEF C.ΔONM ΔFEG D.ΔNOM ΔFGE Example 1 CYP B

  15. Find Missing Measures A. CONSTRUCTION A brace is used to support a tabletop. In the figure, ΔABC  ΔDEF. If mC = 50°, what is the measure of F? F and C are corresponding angles, so they are congruent. Since mC = 50°, mF = 50°. Answer:mF = 50° Example 2 A

  16. B. CONSTRUCTIONA brace is used to support a tabletop. In the figure, ΔABC ΔDEF. The length of AC is 2 feet. What is the length of DF? AC and DF are corresponding sides, so they are congruent. Since AC = 2 feet, DF = 2 feet. Answer:DF = 2 feet Find Missing Measures Example 2 B

  17. A. ART In the figure, ΔABC  ΔDEF. What is the measure of B? A. 44° B. 46° C. 90° D. 136° Example 2 CYP A

  18. B. ART In the figure, ΔABC  ΔDEF. What is the length of EF? A. 158 in. B. 68 in. C. 44 in. D. 22 in. Example 2 CYP B

  19. The slash marks indicate that MN  QP, NO  PR, and MO  QR. Identify Congruent Triangles Determine whether the triangles shown are congruent. If so, name the corresponding parts and write a congruence statement. The arcs indicate that M  Q, N  P, and O  R. Answer: Since all pairs of corresponding angles and sides are congruent, the two triangles are congruent. One congruence statement is ΔMNO ΔQPR. Example 3

  20. Determine whether the triangles shown are congruent. If so, write a congruence statement. A. yes; ΔABC  ΔXYZ B.yes;ΔABC  ΔXZY C. yes; ΔABC  ΔZYX D.No; the triangles are not congruent. Example 3 CYP

  21. End of the Lesson

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