In the diagram, |PQ| = |PS| Which of the following statements is true?
- ∠QPS = QRS
- |PO| = |RO|
- QR||PS
-
∠PQR=∠PSR
The correct answer is: D
Explanation
The given figure is a kite.
Here are the properties of a kite:
Two Pairs of Adjacent Sides: A kite has two pairs of adjacent sides that are equal in length.
Diagonals: The diagonals of a kite are perpendicular to each other. One diagonal bisects the other.
Symmetry: A kite has one line of symmetry, which runs along the longer diagonal.
Angles: The angles between the unequal sides are equal. Specifically, the angles opposite the equal sides are also equal.
Therefore, ∠PQR = ∠PSR is correct.