Name Corresponding Parts

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Proving Triangles Congruent

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Name Corresponding Parts ΔHGI  ? Name the corresponding parts in the congruent triangles shown. Then complete the congruence statement. Answer: Corresponding Angles D  H, E  G, F  I Corresponding SidesΔ DE  HG, DF  HI, EF  GI One congruence statement is ΔHGI  ΔDEF

Name the corresponding parts in the congruent triangles shown Name the corresponding parts in the congruent triangles shown. Then complete the congruence statement. A. B. C. D. A B C D

Identify Congruent Triangles Determine whether the triangles shown are congruent. If so, name the corresponding parts and write a congruence statement.

Identify Congruent Triangles Solve Angles: The arcs indicate that M  Q, N  P, and O  R. Sides: The slash marks indicate that MN  QP, NO  PR, and MO  QR. Answer: Since all pairs of corresponding angles and sides are congruent, the two triangles are congruent. One congruence statement is ΔMNO  ΔQPR. Check: Draw ΔMNO and ΔQPR so that they are oriented in the same way. Then compare the angles and sides.

Determine whether the triangles shown are congruent Determine whether the triangles shown are congruent. If so, name the corresponding parts and write a congruence statement. A. B. C. D. A B C D

A. CONSTRUCTION A brace is used to support a tabletop A. CONSTRUCTION A brace is used to support a tabletop. In the figure, ΔABC  ΔDEF. 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°

B. What is the length of DF ? DF corresponds to AC. So, DF and AC are congruent. Since AC = 2 feet, DF = 2 feet. Answer: DF = 2 feet

A. ART In the figure, ΔABC  ΔDEF. What is the measure of B?

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.