Question

Are the following figures similar? Kites ABCD and EFGH are shown. AB equals 2. BC equals 10. EF equals 5. FG equals 20. Yes; the corresponding angles are congruent No; the corresponding angles are not congruent Yes; the corresponding sides are proportional No; the corresponding sides are not proportional

Answer 1

Last option is correct.

Explanation:

Given two figures ABCD and EFGH of the measurements.

AB=2 units

BC=10 units

EF=5 units

FG=20 units

We have to tell are the two figures similar or not.

As the similar figures have their corresponding sides in same proportion. Therefore, we check for the proportion

`(AB)/(EF)=(2)/(5)`

`(BC)/(FG)=(10)/(20)=(1)/(2)`

which shows
`(AB)/(EF)\\eq(BC)/(FG)`

Hence, the corresponding sides are not in same proportion.

∴ The above two figures are not similar as their cooreponding sides are not in same proportion.

Last option is correct.