Please help me ?

The figure below shows a kite labeled PQRS.

A kite PQRS is shown with a diagonal labeled PR.

Write a 2-column, paragraph, or flow-chart proof to show that angle PQR is congruent to angle PSR.

Question

Please help me ?

The figure below shows a kite labeled PQRS. 

A kite PQRS is shown with a diagonal labeled PR. 

Write a 2-column, paragraph, or flow-chart proof to show that angle PQR is congruent to angle PSR.

anonymous · Answer

attachment

anonymous · Answer

are u planning on doing a two column proof?

anonymous · Answer

yes they seem to be easier

wolf1728 · Answer

If it is a kite, then the non-vertex angles (PQR and PSR) are equal by definition.

anonymous · Answer

is that all i put for the 2 column proof?

phi · Answer

to prove the two triangles are congruent you should have a plan.
I would try to use side-side-side:   if you can show all 3 sides of one triangle are congruent to the other triangle, then by sss, the triangles are congruent.

anonymous · Answer

okay that helps me way more. thank you

phi · Answer

once you know the triangles are congruent,  you can show "corresponding angles" are congruent by CPCT  (corresponding parts of congruent triangles)

phi · Answer

the 3 sides of the triangles are congruent:
1) PQ= PS    by property of kites*
2) QR=QS    by property of kites
3) PR=PR     reflexive property

*a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.