Check Your Understanding Triangles

A triangle has 2 congruent sides and one 90 angle. Which TWO terms accurately describe the triangle?

• isosceles

• obtuse

• scalene

• acute

• right

• scalene, acute

• scalene, obtuse

• isosceles, acute

• isosceles, obtuse

What are all the ways we can classify this triangle? Choose two.

• acute

• obtuse

• scalene

• isoscles

• equilateral

ΔABC and ΔXYZ are congruent triangles. Which statement is known to be true?

• ∠A≅∠B
• ∠X≅∠Y
• ∠B≅∠Y
• ∠A≅∠Y

Which set of equivalent measures does NOT make it possible to determine if any two given triangles are congruent?

• Angle-Side-Angle
• Side-Angle-Side
• Angle-Angle-Side
• Angle-Angle-Angle

For ∆ABC and ∆DEF, the following is given: ∠C≅∠F, AB≅DE, and BC≅EF. By which triangle congruence statement can it be concluded that the triangles are congruent?

• SSS
• SAS
• ASA
• It cannot be determined

For ∆ABC and ∆DEF, the following is given:  AB≅DE, BC≅EF, and AC≅DF. By which triangle congruence statement can it be concluded that the triangles are congruent?

• SSS
• SAS
• ASA
• It cannot be determined

Find the measure of angle D.

• 140 degrees
• 16 degrees
• 40 degrees
• 90 degrees

Find the missing angle.

• 29° 
• 39° 
• 49° 
• 59° 

Name the postulate, if possible, that makes the triangles congruent.

• SAS
• ASA
• AAS
• Not enough information