Question

Figure RST is reflected about the y-axis to obtain figure R’S’T’:

Which statement best describes the relationship between the two figures?

A. Figure RST is bigger than figure R’S’T’.
B. Figure RST is similar to figure R’S’T’.
C. The measure of angle R is equal to the measure of angle S’.
D. The measure of angle R is equal to the measure of angle T’.

Answer 1

the answer is b both shapes are similar.

Answer 2

The correct option is B.

Explanation:

It is given that the figure RST is reflected about the y-axis to obtain figure R’S’T’.

Reflection is a rigid transformation. It means after reflection the shape and size of the figure is remains the same and both image and preimage are congruent.

`\triangle RST\cong \triangle R'S'T'`

Therefore option A is incorrect.

The corresponding angles and sides of congruent triangles are same.

`\angle R=\angle R'`

Therefore options C and D are incorrect.

Congruent triangles are also the similar triangle with scale factor 1.

`\triangle RST\sim \triangle R'S'T'`

Therefore the figure RST is similar to figure R’S’T’ and option B is correct.