12 multiple-choice questions, progressively harder.
Which geometric object has exactly one endpoint and extends forever in one direction?
Solution
Correct answer: C
A ray starts at one endpoint and extends forever in a single direction.
So it has exactly one endpoint.
A part of a line that has two endpoints is called a:
Correct answer: B
A line segment is the part of a line between two endpoints.
So it has exactly 222 endpoints.
In the figure, two rays start from the same endpoint, as shown by the arrowheads. What figure do they form?
Correct answer: A
Two rays that share a common endpoint form an angle.
The shared endpoint is the vertex and the rays are the sides.
In the figure, point BBB is where the two sides of the angle meet. What is this common endpoint called?
The point where the two sides of an angle meet is called the vertex.
In the figure that is point BBB.
In the figure, the angle measures exactly 90∘90^\circ90∘ (marked with a small square at the vertex). What type of angle is this?
A right angle measures exactly 90∘90^\circ90∘, shown by the small square at the vertex.
So the figure shows a right angle.
In the figure, the angle measures 35∘35^\circ35∘, as marked by the arc. What type of angle is it?
An acute angle measures less than 90∘90^\circ90∘.
Since 35∘<90∘35^\circ < 90^\circ35∘<90∘, the angle is acute.
In the figure, the two sides point in exactly opposite directions and form a straight line, making a 180∘180^\circ180∘ angle. What type of angle is this?
Correct answer: D
A straight angle measures exactly 180∘180^\circ180∘, with its sides forming a straight line.
So the figure shows a straight angle.
What type of angle is a 75∘75^\circ75∘ angle?
Since 75∘<90∘75^\circ < 90^\circ75∘<90∘, the angle is acute.
Two angles whose measures add up to 180∘180^\circ180∘ are called:
Two angles that add up to 180∘180^\circ180∘ are supplementary.
So this is the supplementary case.
What is the supplement of a 110∘110^\circ110∘ angle?
Supplementary angles sum to 180∘180^\circ180∘, so subtract from 180∘180^\circ180∘.
180∘−110∘=70∘180^\circ - 110^\circ = 70^\circ180∘−110∘=70∘
How many degrees are in a full turn (one complete rotation)?
One full turn is a complete rotation all the way around.
That is 360∘360^\circ360∘.
In the figure, two lines cross. The marked location where they meet is a:
The single location where two lines cross is a point.
So the marked spot is a point.
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