The diagonals of quadrilateral WXYZ intersect at R. If R is the midpoint of WY¯¯¯¯¯¯¯and XZ¯¯¯¯¯¯, which additional statement sh
1 answer:
Answer:
m∠WXY = 90°
Step-by-step explanation:
A quadrilateral is a polygon with four sides and four angles.
A rectangle is a quadrilateral with two pairs of opposite and parallel sides. The following are properties of a rectangle:
- Opposite sides are congruent to each other.
- Opposite sides are parallel to one another.
- The diagonals are equal to each other.
- The diagonals bisect each other.
- All the interior angles are equal to each other. Each interior angle measures 90°.
Given quadrilateral WXYZ. R is the midpoint of WY and XZ.
This means that R is the midpoint of the diagonals WY and XZ. this shows that the diagonals bisect each other.
For quadrilateral WXYZ to be a rectangle, each interior angle must be 90°. Hence m∠WXY = 90°
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