Question

plz help its my last one and i really need this question :/
Write a 2-column, paragraph, or flow-chart proof to show that angle PQR is congruent to angle PSR

Answer 1

Are you given any other info?

Answer 2

nope :/

Answer 3

hmm well you know 100% that PR = PR due to the reflexive property (basically, anything is equal to itself)

Answer 4

you would need to know if PQ = PS or if QR = SR to go forward with this one

Answer 5

or maybe if you were given some information about the other angles, then you could go forward

Answer 6

does it say what type of triangles they are?

Answer 7

okay im following and no it doesnt say

Answer 8

does it say that the quadrilateral is a kite?

Answer 9

this is the only other thing said The figure below shows a kite labeled PQRS

Answer 10

ah thanks

Answer 11

a kite has a special property that the two pairs of adjacent sides are equal

Answer 12

So PQ = PS and QR = SR

Answer 13

So we can say that triangle PQR is congruent to triangle PSR by the SSS property of congruence

Answer 14

okay sorry writing this down

Answer 15

no problem

Answer 16

so because triangle PQR is congruent to triangle PSR , we know that the corresponding parts or pieces of each triangle are equal


So this means angle PQR is congruent to angle PSR


Often, you'll see the abbreviation CPCTC, which stands for "corresponding parts of congruent triangles are congruent"


So angle PQR is congruent to angle PSR by the CPCTC rule

Answer 17

ohhokay i never knew that

Answer 18

yeah it's a very useful tool