Question

Look at the figure.

Triangle PQR has the measure of angle PRQ equal to 30 degrees. S is a point on side PR. Points Q and S are joined by a straight line. Angle PQS measures 30 degrees.

Make a two-column proof showing statements and reasons to prove that triangle PRQ is similar to triangle PQS.

Answer 1

@ganeshie8

Answer 2

@UnkleRhaukus

Answer 3

@ash2326 @AravindG

Answer 4

we ll what all do you notice that are similiar in the two triangles @Muddingirl ?

Answer 5

the angles are similar? @AravindG

Answer 6

yep anything else ?

Answer 7

um they share angle Q @AravindG

Answer 8

nope ..thats not true ..

Answer 9

umm, im not sure

Answer 10

ok forget the angles ..do you see any sides that are common ?

Answer 11

QS?

Answer 12

nope !! its PQ!!

Answer 13

oh sorry, i can see that

Answer 14

A lso note that angle P is common to both .Hence by ASA theorem the triangles are similiar