The figure below shows a kite labeled PQRS.

Write a 2-column, paragraph, or flow-chart proof to show that vertex angles of a kite are bisected by the diagonal.

Question

The figure below shows a kite labeled PQRS.



Write a 2-column, paragraph, or flow-chart proof to show that vertex angles of a kite are bisected by the diagonal.

anonymous · Answer

attachment

radar · Answer

PR = PR      Reflex Law (equal to itself)
PS = PQ      Definition of kite pair of adjacent sides are equal
QR = SR          "            "     "     "    "          "        "       "     "
Triangle PRQ is congruent to triangle PRS     side side side (three sides of triangles are =.
Angle RPQ =Angle RPS      corresponding angles of congruent triangles
Angle QPS has been bisected into two equal angles.