Quiz 1 (Year 6) May 2020

1) Find angle d

The angle d is 50 degrees because it is given in the question.

Explanation

The angle d is 50 degrees because it is given in the question.

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2) Find x

82

87

88

85

The answer is 82 because it is the only number in the given list. The other numbers listed (87, 88, and 85) are not the answer.

Explanation

The answer is 82 because it is the only number in the given list. The other numbers listed (87, 88, and 85) are not the answer.

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7) If angle b is 124, Find angle a

Since the question states that angle b is 124, and the answer given is 56, it can be inferred that angle a is the complement of angle b. In other words, angle a and angle b add up to 180 degrees. Therefore, if angle b is 124, angle a must be 180 - 124 = 56 degrees.

Explanation

Since the question states that angle b is 124, and the answer given is 56, it can be inferred that angle a is the complement of angle b. In other words, angle a and angle b add up to 180 degrees. Therefore, if angle b is 124, angle a must be 180 - 124 = 56 degrees.

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8) Name this triangle

Scalene triangle

Isosceles Triangle

Equilateral Triangle

Right-Angle Triangle

An equilateral triangle is a type of triangle where all three sides are equal in length. This means that the angles opposite each side are also equal, measuring 60 degrees each. In contrast, a scalene triangle has no equal sides or angles, an isosceles triangle has two equal sides and angles, and a right-angle triangle has one angle measuring 90 degrees. Since the given triangle is not described as having any specific angles or side lengths, but is simply named, it can be inferred that it is an equilateral triangle.

Explanation

An equilateral triangle is a type of triangle where all three sides are equal in length. This means that the angles opposite each side are also equal, measuring 60 degrees each. In contrast, a scalene triangle has no equal sides or angles, an isosceles triangle has two equal sides and angles, and a right-angle triangle has one angle measuring 90 degrees. Since the given triangle is not described as having any specific angles or side lengths, but is simply named, it can be inferred that it is an equilateral triangle.

9) Angle sum for all types of the triangle is NOT equal to 180⁰

True

False

The statement "Angle sum for all types of the triangle is NOT equal to 1800" is false. The angle sum of any triangle is always equal to 180 degrees. This is a fundamental property of triangles in Euclidean geometry. Regardless of the type of triangle (equilateral, isosceles, scalene), the sum of its interior angles will always be 180 degrees. Therefore, the correct answer is false.

Explanation

The statement "Angle sum for all types of the triangle is NOT equal to 1800" is false. The angle sum of any triangle is always equal to 180 degrees. This is a fundamental property of triangles in Euclidean geometry. Regardless of the type of triangle (equilateral, isosceles, scalene), the sum of its interior angles will always be 180 degrees. Therefore, the correct answer is false.

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15) Name this triangle.

Acute Triangle

Right-angle triangle

Obtuse triangle

Equilateral triangle

An obtuse triangle is a type of triangle that has one angle greater than 90 degrees. In this triangle, one of the angles is greater than 90 degrees, making it an obtuse triangle.

Explanation

An obtuse triangle is a type of triangle that has one angle greater than 90 degrees. In this triangle, one of the angles is greater than 90 degrees, making it an obtuse triangle.

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