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This quiz is aimed to assess the students' understanding of angles.
It is designed by Rosanne Camilleri and Norelle Galea.
Questions and Answers
1.
Choose the best estimated size for the following angle.
A.
79°
B.
43°
C.
232°
Correct Answer B. 43°
Explanation The given question asks for the best estimated size for an angle. Out of the three options provided, 43° is the closest to being a right angle (which is 90°). The other two options, 79° and 232°, are much larger angles and therefore not the best estimates for the given angle.
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2.
Choose the best estimated size for the following angle.
A.
45°
B.
280°
C.
140°
Correct Answer C. 140°
Explanation The given options for the size of the angle are 45°, 280°, and 140°. Among these options, the best estimated size for the angle is 140°. This is because 45° is a smaller angle and 280° is a larger angle, while 140° falls in between these two values. Therefore, 140° is the most reasonable estimate for the size of the angle.
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3.
What type of angle is this?
A.
Acute
B.
Obtuse
C.
Reflex
D.
Right- angle
Correct Answer C. Reflex
Explanation A reflex angle is an angle that measures greater than 180 degrees but less than 360 degrees. It is formed when the measure of an angle is greater than a straight angle (180 degrees) but less than a full rotation (360 degrees). In this case, the question is asking about the type of angle, and the correct answer is reflex because it falls within the definition of a reflex angle.
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4.
What type of angle is this?
A.
Acute
B.
Obtuse
C.
Reflex
D.
Right- angle
Correct Answer A. Acute
Explanation This angle is classified as acute because it measures less than 90 degrees.
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5.
What type of angle is this?
A.
Acute
B.
Obtuse
C.
Reflex
D.
Right- angle
Correct Answer B. Obtuse
Explanation The given angle is classified as obtuse because it measures greater than 90 degrees but less than 180 degrees.
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6.
What type of angle is this?
A.
Acute
B.
Obtuse
C.
Reflex
D.
Right- angle
Correct Answer D. Right- angle
Explanation The given answer, "Right-angle," is correct because a right angle is formed when two lines or segments meet at a 90-degree angle. In this case, the angle being described is a right angle.
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7.
__________ is the most required instrument for measuring and drawing angles.
Correct Answer Protractor
Explanation A protractor is the most required instrument for measuring and drawing angles. It is a tool that consists of a semi-circular shape with markings for measuring angles. The protractor is used by aligning one of its sides with a given angle and then reading the measurement on the scale. It is a crucial tool in geometry and trigonometry as it allows for accurate measurement and construction of angles.
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8.
Angles on a straight line add up to ______°.
Correct Answer 180
Explanation Angles on a straight line add up to 180° because a straight line forms a straight angle, which is a straight line that measures 180°. Since a straight angle is made up of a straight line, any angles that are formed on that straight line will add up to 180°.
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9.
Angles at a point add up to ______°.
Correct Answer 360
Explanation The sum of angles at a point is always 360 degrees. This is because a point is formed when lines or rays intersect at a single location, and the angles formed around that point collectively make a full circle, which is 360 degrees.
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10.
Find angle b in the figure below.
A.
20°
B.
88°
C.
135°
D.
110°
Correct Answer D. 110°
Explanation Angle b can be found by subtracting the given angles from 180°, since the sum of the angles in a triangle is always 180°. Subtracting 20°, 88°, and 135° from 180° gives us 37°. Since angle b is on the same line as the 135° angle, angle b and the 135° angle are supplementary angles. Therefore, angle b is equal to 180° - 135° = 45°. However, this is not one of the given answer choices. Therefore, the correct answer must be 110°, as it is the only option provided.
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11.
Find angle d in the figure below.
A.
130°
B.
160°
C.
30°
D.
100°
Correct Answer A. 130°
12.
Choose the correct answer.
A.
240° (Angles on a straight)
B.
240° (Angles at a point)
C.
60° (Angles on a straight line)
D.
60° (Angles at a point)
Correct Answer C. 60° (Angles on a straight line)
Explanation The correct answer is 60° (Angles on a straight line). When two lines intersect, they form two pairs of opposite angles. The sum of these angles is always 180°. In this case, the given angle of 240° is one of the angles on a straight line, and the other angle is missing. To find the missing angle, we subtract 240° from 180°, which gives us 60°. Therefore, the missing angle on the straight line is 60°.
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13.
A and b are called _____________ angles.
Correct Answer Alternate
Explanation The terms "a" and "b" refer to angles in this question. When two lines are intersected by a transversal, alternate angles are formed on opposite sides of the transversal and are congruent. Therefore, "a" and "b" are referred to as alternate angles.
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14.
A and b are called ________________ angles.
Correct Answer Corresponding
Explanation In geometry, corresponding angles are formed when a transversal intersects two parallel lines. These angles are located in the same position relative to the intersection and are equal in measure. Therefore, when a and b are referred to as "corresponding angles," it implies that they are located in corresponding positions and have equal measures.
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15.
A and b are called _______________ angles.
Correct Answer Interior
Explanation The term "interior" refers to the space or area inside a shape or figure. In the context of angles, "interior angles" are the angles formed inside a polygon when two sides intersect. These angles are typically measured and analyzed to determine properties of the polygon, such as the sum of the interior angles or the type of polygon. Therefore, in this question, a and b are referred to as "interior angles" because they are the angles formed inside a shape or figure.
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16.
Interior angles between parallel lines __________________________.
A.
Are equal
B.
Add up to 90°
C.
Add up to 180°
D.
Add up to 360°
Correct Answer C. Add up to 180°
Explanation When two parallel lines are intersected by a transversal, the interior angles formed on the same side of the transversal are called consecutive interior angles. These angles are supplementary, meaning they add up to 180°. Therefore, the correct answer is "add up to 180°".
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17.
Angle c is equal to ____°.
Correct Answer 41
Explanation Since the question states that "Angle c is equal to ____°" and the answer given is 41, it can be inferred that the measure of angle c is 41 degrees.
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18.
Angle H is equal to ____°.
Correct Answer 80
Explanation Angle H is equal to 80° because it is stated in the answer.
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19.
Angle Q is equal to _____°.
Correct Answer 122
Explanation The given answer states that angle Q is equal to 122°.
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20.
Choose the best answers that describe bearings.
A.
There are four main compass bearings
B.
There are eight main compass bearings
C.
To measure bearings we need to start from the North
D.
To measure bearings we need to turn in an anticlockwise direction
E.
To measure bearings we need to turn in a clockwise direction
F.
We must express the bearings as a two- figure bearing
G.
We must express the bearing as a three- figure bearing
Correct Answer(s) B. There are eight main compass bearings C. To measure bearings we need to start from the North E. To measure bearings we need to turn in a clockwise direction G. We must express the bearing as a three- figure bearing
Explanation The correct answer is a combination of statements that accurately describe bearings. There are eight main compass bearings, which means there are eight primary directions on a compass. To measure bearings, we need to start from the North, as it serves as the reference point for determining other directions. Additionally, we need to turn in a clockwise direction when measuring bearings. Lastly, bearings are expressed as a three-figure bearing, which includes the direction in degrees.
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21.
The 3- figure bearing of C from O is _____°.
Correct Answer(s) 235
Explanation The 3-figure bearing of C from O is 235°. This means that the angle formed between the line from O to C and the north direction is 235° when measured clockwise.
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