Question

If y = 9 and x = 12, what additional information is necessary to show that DUM is congruent to MAP using the SAS postulate?

Answer 1

A. DM congruent to PM

B. P is congruent to DMU

C. D is congruent to PMA

D. U is congruent to A

Answer 2

plug in the given values in the expressions for sides of second triangle

Answer 3

what do you notice ?

Answer 4

What?

Answer 5

did you take time to read the question before posting it here ?

Answer 6

2y - 3

0.5x + 6

y = 9, x = 12

Plug them in

Answer 7

I know what you mean...

Answer 8

2(9)-3
0.5(12)+6

Answer 9

15
12

Answer 10

notice anything special about 15 and 12 ?

Answer 11

Makes both the triangles congruent?

Answer 12

Because its equal to the sides of the other triangle.

Answer 13

not yet, we just have two sets of congruent side pairs

we also need the "included angle" to be congruent for applying SAS

Answer 14

whats the angle that lies betweenn sides 15 and 12 in first triangle ?

Answer 15

Angle m?

Answer 16

Look closely,
it is the angle U

Answer 17

for angle U, one arm is 15 and other arm is 12
so we say angle U is the included angle of sides 15 and 12

Answer 18

similarly in the second triangle, angle A is the included angle of sides 15 and 12

Answer 19

To apply SAS we need these included angles to be congruent :
angle U = angle A