Practice test

Basic geometry - Test Set 2

Review 5 exam-focused questions with detailed explanations, then start the interactive test when you are ready.

5 questions

Questions and explanations

  1. Question 1

    The length of each of the two equal sides of an isosceles triangle is 5 cm and the length of its base is 8 cm. The area (in cm²) of the triangle is:
    1. 15
    2. 9
    3. 18
    4. 12
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  2. Question 2

    In a triangle, if the measure of one angle is twice the measure of the smallest angle and the measure of the third angle is three times the measure of the smallest angle, then find the measure of the largest angle?
    1. 90°
    2. 30°
    3. 45°
    4. 120°
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  3. Question 3

    If the lengths of the sides of a triangle are x + 1, 7 − x and 4x − 2, then find the value of x for which the triangle represents an isosceles triangle.
    1. 1.8
    2. 2.4
    3. 3
    4. 1
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  4. Question 4

    The ratio of three angles of ΔABC is 3 : 4 : 5 respectively. If side AB is extended to X, then what is the measure of exterior angle ∠CBX?
    1. 100°
    2. 80°
    3. 120°
    4. 60°
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  5. Question 5

    ΔABC ~ ΔQPR and (Area of ΔABC) : (Area of ΔPQR) is = 3 : 2. If AB = 12 cm, BC = 10 cm, and AC = 9 cm, then what is the length (in cm) of QR.
    1. 8383
    2. 36
    3. 103
    4. 203
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