Lines And Angles For 9th-garde Students

1)

What type of angle is this?

Right angle

Acute angle

Obtuse angle

The given angle is a right angle because it measures exactly 90 degrees. A right angle is formed when two lines or line segments meet at a 90-degree angle, creating a square corner. In this case, the angle is neither smaller nor larger than 90 degrees, making it a right angle.

Explanation

The given angle is a right angle because it measures exactly 90 degrees. A right angle is formed when two lines or line segments meet at a 90-degree angle, creating a square corner. In this case, the angle is neither smaller nor larger than 90 degrees, making it a right angle.

2) Which figures below show pairs of lines that appear to be parallel?

Figure 1

Figure 2

Figure 3

In Figure 1, both lines appear to be parallel because they are equidistant and do not intersect each other. However, without further information or measurements, we cannot definitively conclude if they are truly parallel.

Explanation

In Figure 1, both lines appear to be parallel because they are equidistant and do not intersect each other. However, without further information or measurements, we cannot definitively conclude if they are truly parallel.

3)

What type of angle is this?

Acute angle

Right angle

Obtuse angle

An acute angle is an angle that measures less than 90 degrees.

Explanation

An acute angle is an angle that measures less than 90 degrees.

4) What does this picture show?

Intersecting lines

Perpendicular lines

Parallel lines

The picture shows two lines that never meet or intersect each other. These lines are always equidistant from each other, and they have the same slope. Therefore, they can be identified as parallel lines.

Explanation

The picture shows two lines that never meet or intersect each other. These lines are always equidistant from each other, and they have the same slope. Therefore, they can be identified as parallel lines.

5) What is this picture showing?

Parallel lines

Perpendicular lines

Intersecting lines

The picture is showing lines that cross each other at a point. These lines are not parallel or perpendicular to each other, but they intersect.

Explanation

The picture is showing lines that cross each other at a point. These lines are not parallel or perpendicular to each other, but they intersect.

6) When it is 10:30, what kind of angle is formed by the hands of the clock?

Acute

Obtuse

Right

When it is 10:30, the minute hand is pointing at the 6 while the hour hand is pointing between the 10 and 11. This creates an angle greater than 90 degrees, which is known as an obtuse angle.

Explanation

When it is 10:30, the minute hand is pointing at the 6 while the hour hand is pointing between the 10 and 11. This creates an angle greater than 90 degrees, which is known as an obtuse angle.