Match the definition with the correct word.Two pairs of proportional sides and a pair of equal included angles determine similar triangles.Answer 1 Question 18If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.Answer 2 Question 18If all three pairs of sides of corresponding triangles are in proportion, the triangles are similarAnswer 3 Question 18
Question
Match the definition with the correct word.Two pairs of proportional sides and a pair of equal included angles determine similar triangles.Answer 1 Question 18If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.Answer 2 Question 18If all three pairs of sides of corresponding triangles are in proportion, the triangles are similarAnswer 3 Question 18
Solution
Answer 1 Question 18: This definition matches with the concept of "Angle-Angle (AA) Similarity Postulate". If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Answer 2 Question 18: This definition matches with the concept of "Side-Side-Side (SSS) Similarity Theorem". If the lengths of all corresponding sides of two triangles are proportional, then the triangles are similar.
Answer 3 Question 18: This definition matches with the concept of "Side-Angle-Side (SAS) Similarity Theorem". If an angle of one triangle is congruent to an angle of a second triangle, and the lengths of the sides including these angles are in proportion, then the triangles are similar.
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