JSCE Mathematics 2023 Objective — Question 21

Question 21 of 80 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

Using the information about the two triangles ΔABC and ΔXYZ (ABC: BC = 8cm, AB = 7cm, angle A = 81.8°, angle B = 60°; XYZ: XZ = 7cm, YZ = 8cm, angle Z = 38.2°, angle Y = 60°), which of the options best describes the two triangles?

A. ΔABC ≅ ΔXYZ (SAS)
B. ΔABC ≅ ΔXYZ (SSS)
C. ΔABC is similar to ΔXYZCorrect
D. ΔABC ≅ ΔXYZ (SAS)

Explanation

Angles: A = 81.8°, B = 60°, C = 38.2° and X = 81.8°, Y = 60°, Z = 38.2°. The angles are equal, so the triangles are similar.

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