Triangles - Properties and Congruence - Problem Set

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Q. If the lengths of the sides of triangle ABC are 7 cm, 24 cm, and 25 cm, is it a right triangle?
  • A. Yes
  • B. No
  • C. Only if angle A is 90 degrees
  • D. Only if angle B is 90 degrees
Q. If triangle ABC is isosceles with AB = AC, and angle A = 40 degrees, what are the measures of angles B and C?
  • A. 70 degrees each
  • B. 80 degrees each
  • C. 60 degrees each
  • D. 40 degrees each
Q. If two angles of a triangle are 30 degrees and 70 degrees, what is the type of triangle based on its angles?
  • A. Acute
  • B. Right
  • C. Obtuse
  • D. Equilateral
Q. In triangle ABC, if angle A = 90 degrees and AB = 6 cm, AC = 8 cm, what is the length of BC?
  • A. 10 cm
  • B. 12 cm
  • C. 14 cm
  • D. 16 cm
Q. In triangle JKL, if JK = 12 cm, KL = 16 cm, and JL = 20 cm, what type of triangle is it?
  • A. Acute
  • B. Obtuse
  • C. Right
  • D. Equilateral
Q. In triangle PQR, if PQ = 12 cm, PR = 9 cm, and QR = 15 cm, which criterion can be used to prove that triangle PQR is not congruent to triangle STU with sides ST = 12 cm, SU = 9 cm, and TU = 14 cm?
  • A. SSS
  • B. SAS
  • C. ASA
  • D. AAS
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