AB: required BC: required

MB: required ON: required

Teacher Resource 6.1 Unit 6 Geometry pp. G-3–7

New Canadian Edition

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G6-1

Angles

Students will:

• identify and draw line segments, lines, rays, and angles.

AP Book 6.1 pp. 93–94

See p. G-3 for details.

Line Segment: Straight path between two points, called endpoints.

See p. G-3 for details.

A line extends in a straight path forever in two directions. It has NO endpoints. We draw lines with little arrows at both ends to show we can extend them in both directions.

See p. G-3 for details.

Is it a line or a line segment?

See pp. G-3–4 for details.

ray

A ray, such as a ray of sunlight, has a beginning but no end - it goes on and on. A ray is part of a line. It extends forever in the other direction from the endpoint.

Students can signal answers by pointing. See p. G-4 for details.

Which way can these rays be extended?

angle

See p. G-4 for details.

When two rays have the same endpoint, they make an angle.

See p. G-4 for details.

vertices

See pp. G-4–5 for details. Draw arcs on the angles.

The size of an angle is the amount of rotation between arms.

See p. G-5 for details.

Size of the angle does not depend on the length of the arms.

See p. G-5 for details.

The length of the arc does not matter.

See p. G-5 for details.

Which angle is larger?

Exercises:

Point your thumb toward the larger angle.

See note on p. G-6.

Acute Angle = less than 90 degrees

Obtuse Angle = Greater than 90 degrees but less than 180 degrees

right angle

See p. G-6 for details.

See p. G-6 for details.

Straight angles make a straight line

See p. G-6 for details.

Reflex Angle (Greater than 180 degrees)