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Transcript
LEARNING GOAL The student will understand how to use relationships between geometric shapes to calculate line segment lengths, angle measures, surface area and volume. OBJECTIVE #1 The student will be able to indicate if and why two triangles are congruent with 80% accuracy. VOCABULARY Similar Triangles • Definition: triangles that have the same angle measures and side lengths that are all in the same ratio • Example: Congruent Triangles • Definition: triangles that have the same angle measures and the same side lengths • Example: VOCABULARY • Corresponding Parts: the parts of two triangles that are related • Example: ASA Theorem Angle-Side-Angle: two triangles are congruent if two angles and the included side are the same in both triangles. SAS Theorem Side-Angle-Side: two triangles are congruent if two sides and the included angle are the same in both triangles. SSS Theorem Side-Side-Side: two triangles are congruent if all three sides are the same in both triangles. AAS Theorem Angle-Angle-Side: two triangles are congruent if two angles and a side (not the included side) are the same in both triangles. RHS Theorem Right Angle-Hypotenuse-Side: two right triangles are congruent if the hypotenuse and one side are the same in both triangles. GUIDED PRACTICE What theorem can we use to prove the following triangles are congruent?