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High School: 9th and 10th Grade
Math
Shapes 7
Solution
Q.1.
Which one of the following statements is correct?
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It is only possible to construct one equilateral triangle with a 90° interior angle
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It is only possible to construct two equilateral triangles with a 90° interior angle
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It is impossible to construct an equilateral triangle with a 90° interior angle
100%
It is only possible to construct one equilateral triangle with two 90° interior angles
Q.2.
Which one of the following statements is correct?
100%
In an acute triangle, only one of the interior angles is less than ninety-degrees
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In an acute triangle, all of the interior angles are less than ninety-degrees
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In an acute triangle, only two of the interior angles is less than ninety-degrees
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In an acute triangle, the shortest side is opposite the largest acute angle
Q.3.
Which one of the following statements is incorrect?
100%
A scalene triangle has all of its interior angles different
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A scalene triangle has all of its sides equal in length
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A scalene triangle has all of its sides different in length
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If all three angles of a triangle are different, then it's a scalene triangle
Q.4.
Which one of the following statements is incorrect?
100%
A triangle has three sides
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A triangle has three vertices
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The sum of the interior angles of a triangle is greater than 180°
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A triangle has three interior angles
Q.5.
Which one of the following statements is correct?
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The hypotenuse of a right triangle is always opposite the smallest angle
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The hypotenuse of a right triangle is always the shortest side
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The hypotenuse of a right triangle is always opposite the right-angle
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The longest side of a triangle is called the hypotenuse
Q.6.
Which one of the following statements is incorrect?
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An isosceles triangle has an axis of symmetry
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An isosceles triangle has two of its angles the same
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An isosceles triangle has two of its sides the same length
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An isosceles triangle has all of its sides equal in length
Q.7.
Which one of the following statements is incorrect?
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An obtuse triangle has two interior obtuse angles
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An obtuse triangle has one interior obtuse angle
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In an obtuse triangle, the longest side is opposite the obtuse angle
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An obtuse triangle is a triangle that has an interior angle greater than 90°
Q.8.
Which one of the following statements is incorrect?
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In a triangle whose sides are not the same length, the length of the longest side is shorter than the sum of the lengths of the other two sides
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The longest side of a triangle is always opposite the biggest interior angle
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The shortest side of a triangle is always opposite the smallest interior angle
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The longest side of a triangle is sometimes opposite the smallest interior angle
Q.9.
Which one of the following statements is correct?
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Only two equiangular triangles can be constructed
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Only three equiangular triangles can be constructed
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Many equiangular triangles can be constructed
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Only one equiangular triangle can be constructed
Q.10.
Which one of the following statements is correct?
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In a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides
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In a triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides
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In a triangle, the square of the length of the longest side equals the sum of the squares of the lengths of the other two sides
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In a right triangle, the square of the length of one side equals the sum of the squares of the lengths of the other two sides
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