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Grade 8 Mathematics Quiz: Triangle Congruence

Instructions:

Choose the correct answer for each question related to triangle congruence. Only one answer is correct for each question.

Questions:

  1. Which postulate can be used to prove that two triangles are congruent if two side lengths and an included angle are equal?

    • A. Angle-Side-Angle (ASA)
    • B. Side-Angle-Side (SAS)
    • C. Side-Side-Side (SSS)
    • D. Angle-Angle-Side (AAS)

  2. In triangle ABC, if angle A measures 50 degrees and angle B measures 60 degrees, what is the measure of angle C to prove triangle congruence with triangle DEF, where angle D measures 70 degrees?

    • A. 70 degrees
    • B. 80 degrees
    • C. 90 degrees
    • D. 100 degrees

  3. If triangle PQR is congruent to triangle XYZ, which of the following pairs of sides must be equal?

    • A. PQ = XY
    • B. PR = ZX
    • C. QR = YZ
    • D. All of the above

  4. Which of the following is NOT a congruence criterion for triangles?

    • A. Angle-Angle (AA)
    • B. Side-Side-Side (SSS)
    • C. Angle-Side-Angle (ASA)
    • D. Side-Angle-Side (SAS)

  5. Two triangles are said to be congruent if...

    • A. They have the same area
    • B. Their corresponding sides and angles are equal
    • C. They have the same perimeter
    • D. They are similar but not necessarily equal

  6. In a triangle, the sides are measured as follows: 8 cm, 15 cm, and 17 cm. Which triangle congruence postulate can be applied if another triangle has sides measuring 8 cm and 15 cm with the included angle being equal?

    • A. Side-Side-Side (SSS)
    • B. Angle-Side-Angle (ASA)
    • C. Side-Angle-Side (SAS)
    • D. Angle-Angle-Side (AAS)

  7. If two angles of triangle GHI are 45 degrees and 55 degrees, which congruence theorem can you use to prove that triangle GHI is congruent to triangle JKL, with angles measuring 45 degrees, 55 degrees, and a corresponding side?

    • A. Side-Side-Side (SSS)
    • B. Angle-Angle (AA)
    • C. Angle-Side-Angle (ASA)
    • D. Side-Angle-Side (SAS)

  8. Which of the following pairs of triangles can be proven congruent using the Side-Angle-Side postulate?

    • A. Triangle MNO with sides 5 cm and 7 cm, and angle 60 degrees, and triangle ABC with sides 5 cm and 7 cm, and angle 60 degrees opposite the included side
    • B. Triangle DEF and triangle XYZ both with two equal angles
    • C. Triangle JKL and triangle OPQ with one side measuring 4 cm and the others unknown
    • D. Triangle RST with two sides equal, irrespective of the angles

  9. If triangle KLM is congruent to triangle QRS, and K = 30°, M = 60°, what is the corresponding angle in triangle QRS for angle K?

    • A. 30°
    • B. 60°
    • C. 90°
    • D. 120°

  10. When two triangles have all three pairs of corresponding sides equal, what congruence postulate can you apply?

    • A. Angle-Angle-Side (AAS)
    • B. Side-Side-Side (SSS)
    • C. Side-Angle-Side (SAS)
    • D. Angle-Side-Angle (ASA)

End of the Quiz

Please check your answers and review your understanding of triangle congruence!