Question

The figure below shows a kite labeled PQRS.
Write a 2-column, paragraph, or flow-chart proof to show that angle PQR is congruent to angle PSR.

Answer 1

1. PS is seemingly similar for now to PQ because of the definition of corresponding sides.
2. SR is similar seemingly for now to QR because of the definition of corresponding sides.
3. PR=PR because of the reflexive property of equality.
4. Since triangles PQR and PSR share the same hypotenuse,
their legs equal c squared because of the Pythagorean Theorem.
5. Their corresponding legs equal the same because of the square root property of equality is applied.
6. Since both triangles have hypotenuses, they must have right angles.
7. By the SAS postulate, PS=PQ, SR=QR, and angle PQR is
congruent to angle PSR.

Answer 2

This is my proof; tips?

Answer 3

ONce again, no offense, but you cannot use that proof...

Answer 4

eh

Answer 5

Sides cannot be seemingly similar, they have to be similar by a theorem

Answer 6

ohhh man

Answer 7

can you give me some pointers?

Answer 8

cal?

Answer 9

you there?

Answer 10

I will give you the justifications, and I will leave it to you to fiure out the statements that go along with them.
Justifications:
AAS Congruence THeorem
Property of a Kite (One pair oof opposite angles are congruent.)
CPCTC
Property of a Kite (One diagonal bisects the angles of the kite.)

Answer 11

hmm

Answer 12

angle P equal angle Q

Answer 13

Angle P equal angle R

Answer 14

that right so far?

Answer 15

and PR=PR

Answer 16

Nope. Neither of the first two work. The third one does though.

Answer 17

yeah!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 18

angle R= angle R while angle P=angle P

Answer 19

nope...

Answer 20

angle Q equal angle S

Answer 21

yes?

Answer 22

Yes

Answer 23

really!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 24

angle P equal angle R

Answer 25

yes?

Answer 26

no

Answer 27

meh

Answer 28

angle P=angle P?

Answer 29

or angle R=angle R?

Answer 30

Nope.

Answer 31

k5

Answer 32

"hint hint nudge nudge?"

Answer 33

hold on

Answer 34

k

Answer 35

tell me when you come back...

Answer 36

Btw, you should be able to do these by now with doing proofs so much.

Answer 37

ty man

Answer 38

I'm going to retake the test now

Answer 39

alright.