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5-Minute Check 1

A B C D. In the figure, a ║ b and t is a transversal. If m  3 = 37°, find the measure of the other seven angles. 5-Minute Check 1. Splash Screen. You have worked with triangles in the past (this year and previous years). Identify corresponding parts of congruent triangles.

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5-Minute Check 1

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  1. A B C D In the figure, a║band t is a transversal. If m3 = 37°, find the measure of the other seven angles. 5-Minute Check 1

  2. Splash Screen

  3. You have worked with triangles in the past (this year and previous years). • Identify corresponding parts of congruent triangles. • Identify congruent triangles. Then/Now

  4. Congruent Line segments that have the same length, or angles that have the same measure, or figures that have the same shape and size • corresponding parts Parts of congruent or similar figures that match Vocabulary

  5. Congruent Parts of Congruent Triangles are Congruent (CPCTC) Concept

  6. 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

  7. 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

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

  9. A B C D 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

  10. 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

  11. 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

  12. A B C D 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

  13. A B C D 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

  14. 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

  15. A B C D 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

  16. End of the Lesson

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