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Are the following figures similar?
A) Yes; the corresponding angles are congruent
B) No; the corresponding angles are not congruent
C) Yes; the corresponding sides are proportional
D) No; the corresponding sides are not proportional

Are the following figures similar A Yes the corresponding angles are congruent B No the corresponding angles are not congruent C Yes the corresponding sides are class=

Respuesta :

Answer: Choice C

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Explanation:

The four angles are all congruent so that part is checked off.

Lets see if the sides are proportional
Horizontal sides: BC/FG = 25/15 = 5/3
Vertical sides: AB/EF = 5/3

Because BC/FG = AB/EF, this means the sides are proportional

So that's why the figures are similar.
JeanaShupp

Answer: C) Yes; the corresponding sides are proportional

Step-by-step explanation:

We know that if two shapes are similar then the corresponding sides are proportional.

From the picture it can be seen that ,

The dimension of rectangle ABCD = [tex]25\times5[/tex]

The dimension of rectangle EFGH = [tex]15\times3[/tex]

The ratio of length of rectangle ABCD to rectangle EFGH  =[tex]\frac{BC}{FG}=\frac{25}{15}=\frac{5}{3}[/tex]

The ratio of width of rectangle ABCD to rectangle EFGH =[tex]\frac{BC}{FG}=\frac{5}{3}[/tex]

Since, the ratio of length is equal to  ratio of width=[tex]\frac{5}{3}[/tex]

Therefore, the rectangles are congruent, he corresponding sides are proportional.

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