Question

Look at the figure below:

Answer 1

Answer:

The correct option is

If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.

Step-by-step explanation:

Given:

RS ≅ SQ

∠PSR ≅ ∠PSQ = 90°

To Prove:

point P is equidistant from points R and Q

i.e PR ≅ PQ

Proof:

In  ΔPSR  and Δ PSQ

PS ≅ PS                         ……….{Reflexive Property}

∠PSR ≅ ∠PSQ = 90°     …………..{Measure of each angle is 90° given}

RS ≅ QS                         ……….{Given}

ΔPSR  ≅ ΔPSQ  ….{By Side-Angle-Side Congruence test}

∴ PR ≅ PQ .....{Corresponding Parts of Congruent Triangles}

i.e point P is equidistant from points R and Q    .......Proved

Answer 2

Answer:

no

Step-by-step explanation: