Question

The line m is a line of symmetry for square PQRS. (That means that the parts of the figure on either side of the line are mirror images of each other) What is the measure of PRS? *

1)0 degrees
2)45 degrees
3)60 degrees
4)90 degrees


PLz answer this question

Answer 1

The measure of PRS = 45°

Given:

The line m is a line of symmetry for square PQRS.

To find:

What is the measure of PRS?  

Solution:

Given that PQRS is a square

And Line 'm' is a line of symmetry of PQRS

which means Line 'm' divides the square into 2 equal parts and the parts of the figure on either side of the line are mirror images of each other.

And also the line 'm' bisects the ∠QRS

The measure of PRS = (1/2)(∠QRS)

As we know the angle at the vertex of a square = 90°

=> ∠QRS = 90°

The measure of PRS = (1/2)(90°) = 45°

Therefore,

The measure of PRS = 45°

#SPJ1