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The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are ______________.A.proportionalB.supplementaryC.complementaryD.congruent

Question

The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are ______________.A.proportionalB.supplementaryC.complementaryD.congruent

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Solution

D. congruent

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Introductory Activity for congruency of trianglesDear Students, This vacation you will discover all about congruency by yourself!Two triangles are said to be congruent when the 3 sides and 3 angles of one triangle isexactly equal to the 3 sides and 3 angles of another triangle.If you observe the above triangles, the 3 sides and 3 angles of △ABC is exactly equal to 3sides and 3 angles of △DFE. This means △ABC is congruent to △DFE.We write it as △ABC ≅ △DFEACTIVITYAim:It is sufficient if I can show that the 3 sides of one triangle is equal 3 sides of anothertriangle.The 3 angles of both the triangles become automatically equal.The two triangles are congruent.Procedure:Have students cut straws into the following lengths:2 straws 8 centimeters in length2 straws 11 centimeters in length2 straws 5 centimeters in length

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