Solving Congruent Triangles

In the given figure, assume that ∆ BSP ≅ ∆ PYB. What is the measure of ∠ Y?

• 30⁰

• 50⁰

• 65⁰

• 85⁰

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

In the given figure, assume that ∆ BSP ≅ ∆ PYB. What is the measure of side PS?

• 20 cm

• 40 cm

• 80 cm

• 94 cm

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Given: ∆ LET ≅ ∆ PIC  

What is the value of x?

• 30

• 40

• 50

• 60

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Given: ∆ LET ≅ ∆ PIC  

What is the value of y?

• 14

• 15

• 16

• 17

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

If the corresponding sides of congruent triangles measures (5x – 10) yd and (3x+18) yd. What is the value of x?

• 10

• 12

• 14

• 16

Tags

CCSS.8.EE.C.7

Given: ∆ POT ≅ ∆ SUM 

What is the measure of side PT? 

• 16 m

• 32 m

• 51 m

• 63 m

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Given: ∆ POT ≅ ∆ SUM 

What is the measure of ∠ M? 

•  $40\degree$  

•  $55\degree$  

•  $65\degree$  

•  $75\degree$  

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

Given: ∆ MAP ≅ ∆ EHP

What is the value of x? 

• 9

• 10

• 11

• 12

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.5

Given: ∆ MAP ≅ ∆ EHP

What is the value of y? 

• 28

• 30

• 45

• 52

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What is the sum of the interior angle of a triangle?

• $90\degree$

• $180\degree$

• $270\degree$

• $360\degree$

Tags

CCSS.HSG.CO.C.10