Congruent Triangles

Given the diagram, which of the following must be true?

• ∆XSF ≅ ∆XTG

• ∆SXF ≅ ∆GXT

• ∆FXS≅ ∆XGT

• ∆FXS ≅ ∆GXT

Use the Third Angles Theorem to find the value of x.

• x = 60

• x = 55

• x = 15

• x = 65

Answer explanation

Which of the following statements are true? (Mark all that apply)

• ∠P ≌ ∠V

• JP ≌ TV

• ∠L ≌ ∠S

• JL ≌ TS

• ∠J ≌ ∠T

Which of the following are corresponding angles? (Mark all the apply)

• ∠L ≌∠Q

• ∠M ≌ ∠ N

• ∠P ≌ ∠M

• ∠MLN ≌ ∠PNQ

• ∠MNL ≌ ∠ PNQ

Answer explanation

These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?

• 45^o

• 55^o

• 80^o

• 100^o

Answer explanation

Which triangles are congruent to A?

HINT: FIND THE THIRD ANGLE.

• 
• 
• 
• none of them

Answer explanation

Which triangles are congruent to F?

HINT: FIND THE THIRD ANGLE.

• 
• 
• 
• NONE of them

Answer explanation

Select the congruent triangles.

• 
• 
• 
• 

ΔDEF is a 90º clockwise rotation of ΔABC. Find x.

• 20

• 35

• 63

• 78

• Alternate Interior Angles
• Third Angle Theorem
• Vertical Angles
• They both have an "H"