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Any two triangular windows will be considered similar shapes, even if one has a surface area that is three times greater than the other.Select one:a.If the ratios of their complementary sides are the same.b.If the ratios of their corresponding sides are the same and their angles are the samec.Alwaysd.never

Question

Any two triangular windows will be considered similar shapes, even if one has a surface area that is three times greater than the other.Select one:a.If the ratios of their complementary sides are the same.b.If the ratios of their corresponding sides are the same and their angles are the samec.Alwaysd.never

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Solution

b. If the ratios of their corresponding sides are the same and their angles are the same

Two triangles are considered similar if their corresponding sides are in proportion and their corresponding angles are equal. This is known as the Side-Angle-Side (SAS) criterion for similarity of triangles. The surface area does not affect the similarity of the shapes.

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Match the definition to the correct vocabulary word.Two pairs of proportional sides and a pair of equal included angles determine similar triangles.Answer 1 Question 57If 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 57If all three pairs of sides of corresponding triangles are in proportion, the triangles are similar.Answer 3 Question 57

For each statement, write A if the statement is always true, S if the statement is sometimes true, and N if the statement is never true.1. Two rectangles are similar.2. Two rhombi are similar.4.3. Two squares are similar.4. Two equilateral triangles are similar.5. Two isosceles trapezoids are similar.6. A quadrilateral is similar to a pentagon.7. A right triangle is similar to an equilateral triangle.8. If AABC = ADEF and ADEF ~AXYZ, then AABC~AXYZ.9. Two congruent triangles are similar.10. Two similar triangles are congruent

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