Question

If PQ=RS, which of the following must be true?

A. PQ and RS form a straight angle.
B. PQ and RS form a zero angle.
C. PQ and RS are the same segment.

D. PO and RS have the same length.

Answer 1

D

Explanation:

Answer 2

If PQ=RS then PQ and RS have the same length. Hence option D is correct

Solution:

Given that, pq = rs

And, we have to find which of the given options are true.

a) pq and rs form a straight angle

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

b) pq and rs form a zero angle.

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

c) pq and rs are same segment.

If two things equal then there is no condition that both represents a single item.

So this statement is false.

d) pq and rs have the same length

As given that pq = rs, we can say that they will have the same length

Hence, option d is true.