4 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Visualization You can identify corresponding parts of congruent triangles by visualizing the figures placed on top of each other.	Congruent Figures (Lesson 4-1)
2 Reasoning and Proof You can show two triangles are congruent by proving that certain relationships exist between three pairs of corresponding parts.	Proving Triangles Congruent (Lessons 4-2, 4-3, and 4-6) Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), Hypotenuse-Leg (HL)	Using Corresponding Parts of Congruent Triangles (Lessons 4-4 and 4-7) If Δ L M N ≅ Δ Q R S cap delta l m n approximately equal to cap delta q r s
3 Reasoning and Proof You can tell whether a triangle is isosceles or equilateral by looking at the number of congruent angles or sides.	Isosceles and Equilateral Triangles (Lesson 4-5) The base angles of an isosceles triangle are congruent. All equilateral triangles are equiangular. All equiangular triangles are equilateral.

Chapter Vocabulary

• base angles of an isosceles triangle (p. 250)
• base of an isosceles triangle (p. 250)
• congruent polygons (p. 219)
• corollary (p. 252)
• hypotenuse (p. 258)
• legs of an isosceles triangle (p. 250)
• legs of a right triangle (p. 258)
• vertex angle of an isosceles triangle (p. 250)

Choose the correct term to complete each sentence.

1. The two congruent sides of an isosceles triangle are the __?__.
2. The side opposite the right angle of a right triangle is the __?__.
3. A __?__ to a theorem is a statement that follows immediately from the theorem.
4. __?__ have congruent corresponding parts.

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