Mathematics
Mathematics, 02.05.2021 01:00, anarosa52505pdizws

-If two figures have the same number of sides and the corresponding angles are congruent, does this mean that a pair of corresponding sides are either congruent or proportional? -If two figures have a center of dilation, is a corresponding pair of sides necessarily proportional?

-If two figures have a correspondence of proportional sides, do the figures necessarily have a center of dilation?

-If you know two figures are similar, what angle or side measurements must you know to find the dilation used in the transformations mapping one figure to another?

-What are some things you need to be careful about when solving problems involving finding the values of variables in similar figures?

-Consider two similar triangles ΔABC and ΔA'B'C'. If both m∠A'=m∠C and m∠B'=m∠A, what can you conclude about triangle ΔABC? Explain your reasoning.

-Rectangle JKLM maps to rectangle RSTU by the transformation

(x, y)→(4x,4y). If the perimeter of RSTU is x , what is the perimeter of JKLM in terms of x?

-If two figures are similar, what can we conclude about their corresponding parts?

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