Q. If triangle STU is similar to triangle VWX, and ST = 5 cm, TU = 10 cm, and VW = 15 cm, what is the length of side WX?
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A.
10 cm
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B.
20 cm
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C.
25 cm
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D.
30 cm
Solution
Since the triangles are similar, the ratio of corresponding sides is constant. Therefore, WX = (TU / ST) * VW = (10 / 5) * 15 = 2 * 15 = 30 cm.
Correct Answer:
B
— 20 cm
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Q. If two triangles are similar, what can be said about their areas?
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A.
They are equal
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B.
They are proportional to the square of the ratio of their corresponding sides
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C.
They are proportional to the ratio of their corresponding sides
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D.
They cannot be compared
Solution
The areas of similar triangles are proportional to the square of the ratio of their corresponding sides.
Correct Answer:
B
— They are proportional to the square of the ratio of their corresponding sides
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Q. In triangle GHI, if GH = 5 cm, HI = 12 cm, and GI = 13 cm, what type of triangle is it?
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A.
Acute
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B.
Obtuse
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C.
Right
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D.
Equilateral
Solution
Using the Pythagorean theorem, 5^2 + 12^2 = 25 + 144 = 169, which equals 13^2. Therefore, triangle GHI is a right triangle.
Correct Answer:
C
— Right
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Q. What is the area of triangle PQR with a base of 10 cm and a height of 5 cm?
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A.
25 cm²
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B.
30 cm²
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C.
50 cm²
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D.
15 cm²
Solution
Area = 1/2 * base * height = 1/2 * 10 * 5 = 25 cm².
Correct Answer:
A
— 25 cm²
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Q. What is the relationship between the angles of two congruent triangles?
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A.
They are always equal
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B.
They can be different
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C.
They are supplementary
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D.
They are complementary
Solution
In congruent triangles, all corresponding angles are equal.
Correct Answer:
A
— They are always equal
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