Exit Ticket: Triangle congruence

Exit Ticket · Grade 10 · Math

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Short Answer Questions

• Q1. Name two triangles that are congruent and write a congruence statement. Then identify which congruence postulate or theorem (SSS, SAS, ASA, AAS, or HL) proves they are congruent, and explain why.

• Q2. Two triangles have the following information: AB = DE, BC = EF, and angle B = angle E. Are the triangles congruent? If so, which postulate or theorem justifies your answer? If not, explain why.

Reflection

• What part of triangle congruence feels most confusing to you right now — identifying the correct postulate, writing congruence statements, or something else — and what would help you feel more confident?

Multiple Choice

• Q1. Which set of information is sufficient to prove two triangles are congruent by SAS?

  • Two pairs of congruent angles and one pair of congruent sides
  • Two pairs of congruent sides and the included angle between them is congruent
  • Two pairs of congruent sides and a non-included angle is congruent
  • Three pairs of congruent angles

  Answer: Two pairs of congruent sides and the included angle between them is congruent

• Q2. Triangle ABC ≅ Triangle DEF. Which of the following must be true?

  • Angle A = Angle F
  • AB = EF
  • BC = EF
  • Angle B = Angle D

  Answer: BC = EF

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