Question

( : Could someone help me figure out how the vertex angles of the kite below are bisected by the diagonal.

Answer 1

i dont understand the question

Answer 2

I need to write a two column proof that proves the vertex angles of the kite are bisected by the diagonal.

Answer 3

make one more diagonal .. it will be proved using property of triangle and kite

Answer 4

from Q TO S?

Answer 5

yes ...u will get two isosceles triangles upward and downward of that dia..

Answer 6

would that be by construction?

Answer 7

u can also use congruency property .. consider triangle PQR and PSR

Answer 8

they are congruent by the side side side postulate

Answer 9

BOTH ARE CONGRUENT BY SIDE ANGLE SIDE PROPERTY

Answer 10

AND ALSO BY SSS POSTULATE

Answer 11

THERE CAN BE A LOT OF WAYS TO SOLVE THE PROBLEM

Answer 12

hm, I'm sorry I'm a little confused. I was thinking they were congruent by the sss postulate because of the 2 pairs of adjacent, congruent sides kites have and PR=PR by the reflexive property

Answer 13

I didn't see your last few posts before I wrote that, sorry

Answer 14

u r also ri8 .. this also can be another way to solve .. sss postulate is also applicable there

Answer 15

how do you break it down from there?

Answer 16

i m not getting u.. will u please explain??

Answer 17

where r u studying??

Answer 18

Florida Virtual

Answer 19

does this look alright?
QP is congruent to PS and QR is congruent to SR |properties of a kite
PR is congruent to PR | reflexive property
triangle PQR is congruent to triangle PSR| SSS postulate
angle QPR is congruent to angle SPR | CPCTC
angle QPR+angle SPR= angle QPS| angle addition postulate
There fore PR bisects angle QPS into two equal parts because angle QPR = angle SPR.

Answer 20

YES IT SEEMS RI8