Triangle similarity theorems4/27/2023 In similarity, angles must be of equal measure with all sides proportional. We already learned about congruence, where all sides must be of equal length. They will then color in the grid based on their answer, revealing this mystery picture/message. From vertex B, perpendicular BD is drawn on hypotenuse AC. Triangle similarity is another relation two triangles may have. Students will determine the correct similarity theorem that could be used (Angle-Angle, Side-Angle-Side or Side-Side-Side) to prove that 8 different pairs of triangles are similar. Pythagoras Theorem: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.Ĭonstruction: Triangle ABC is drawn which is right angled at B. From vertex B, perpendicular BD is drawn on hypotenuse AC.
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