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Using Time to Explore AnglesPowerPoint Presentation

Using Time to Explore Angles

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Using Time to Explore Angles

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Using Time to Explore Angles

A

endpoints

Look in your book on page 440.

Geometry Terms to Know

Line - a straight path between two points that goes on forever in both directions.

Point - an exact place in space.

Line Segment - part of a line; has a distinct starting point and ending point.

Look in your book on page 440.

Geometry Terms to Know

Ray - part of a line; has a definite starting point, but no ending point; goes on forever in one direction.

Endpoint

Look in your book on page 440.

Geometry Terms to Know

Angle - formed by two lines, rays, or line segments that have the same endpoint.

Look in your book on page 440.

Geometry Terms to Know

Angle - formed by two lines, rays, or line segments that have the same endpoint. This end point is called the vertex.

Geometry Terms to Know

We measure angles by measuring the distance between the two sides of the angle.

Geometry Terms to Know

We measure this distance in a unit called degrees.

The symbol for degrees is a small superscript circle.

Degrees = 45°

Types of Angles

Let’s use our clocks to discover the names of these angles.

There are essentially three different types of angles.

Right Angles

Set your clock to 3:00.

The hands of the clock form a right angle.

Right Angles

Set your clock to 9:00.

The hands of the clock form a right angle.

Right Angles

Right angles measure

exactly 90 degrees.

Acute Angles

Set your clock to 2:00.

Set your clock to 1:00.

The hands of the clocks form acute angles.

Acute Angles

Set your clock to 11:00.

Set your clock to 10:00.

The hands of the clocks form acute angles.

Acute Angles

Acute angles measure less than 90 degrees.

Straight Angles

Set your clock to 6:00.

The hands of the clock form a straight angle.

Straight Angles

Straight angles measure exactly 180 degrees.

Obtuse Angles

Set your clock to 5:00.

Set your clock to 4:00.

The hands of the clocks form obtuse angles.

Obtuse Angles

Set your clock to 8:00.

Set your clock to 7:00.

The hands of the clocks form obtuse angles.

Obtuse Angles

Obtuse angles measure more than 90 degrees butless than 180 degrees.

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