Question

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

Answer 1

Answer: Choice C

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Step-by-step 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.

Answer 2

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 =
`25*5`

The dimension of rectangle EFGH =
`15*3`

The ratio of length of rectangle ABCD to rectangle EFGH =
`(BC)/(FG)=(25)/(15)=(5)/(3)`

The ratio of width of rectangle ABCD to rectangle EFGH =
`(BC)/(FG)=(5)/(3)`

Since, the ratio of length is equal to ratio of width=
`(5)/(3)`

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