We appreciate your visit to If quadrilateral PQRS is a kite which statements must be true Select three options A QP cong QR B PM cong MR C QR cong. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
A, B, and E are the correct options.
Explanation:
Two disjoint pairs of consecutive sides are congruent by definition - QP≅QR and QR is not congruent to RS (one side can’t be used in both pairs);
One diagonal (segment QS, the main diagonal) is the perpendicular bisector of the other diagonal (segment PR, the cross diagonal), so PM≅MR;
The opposite angles at the endpoints of the cross diagonal are congruent, thus ∠QPS≅∠QRS.
∠PQR is not congruent to ∠PSR, because they are not angles at the endpoints of the cross diagonal.
Therefore, A, B, and E are the correct options.
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If quadrilateral pqrs is a kite, the statements that must be true is that:
- qp ≅ qr
- pm ≅ mr
- ∠qps ≅ ∠qrs.
What are quadrilateral?
This is a term that is found in geometry. A quadrilateral is known to be a kind of a closed, two-fold shape that has four straight sides.
The polygon is also known to have four vertices or corners. The shape of quadrilaterals can be seen in a lot of things around us. If quadrilateral pqrs is a kite, the statements that best shows that it is a kite are qp ≅ qr, pm ≅ mr , and ∠qps ≅ ∠qrs.
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