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A kite is a quadrilateral which has 2 sides next to each other that are congruent and where the other 2 sides are also congruent. Given kite \(WXYZ\), show that at least one of the diagonals of a kite decomposes the kite into 2 congruent triangles.
Mai has proven that triangle \(WYZ\) is congruent to triangle \(WYX\) using the Side-Side-Side Triangle Congruence Theorem. Why can she now conclude that diagonal \(WY\) bisects angles \(ZWX\) and \(ZYX\)?
\(WXYZ\) is a kite. Angle \(WXY\) has a measure of 133 degrees, and angle \(ZWX\) has a measure of 60 degrees. Find the measure of angle \(ZYW\).
Prove triangle \(ABD\) is congruent to triangle \(CDB\).
\(\overline{DC} \parallel \overline{AB}\)
Triangles \(ACD\) and \(BCD\) are isosceles. Angle \(DBC\) has a measure of 84 degrees, and angle \(BDA\) has a measure of 24 degrees. Find the measure of angle \(BAC\).
\(\overline{AD} \cong \overline{AC}\) and \(\overline{BD} \cong \overline{BC}\)
Reflect right triangle \(ABC\) across line \(AB\). Classify triangle \(CAC’\) according to its side lengths. Explain how you know.