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Splash Screen. Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

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Splash screen

Splash Screen


Splash screen

Content Standards

G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).

Mathematical Practices

5 Use appropriate tools strategically.

6 Attend to precision.

CCSS


Then now

You measured line segments.

  • Measure and classify angles.

  • Identify and use congruent angles and the bisector of an angle.

Then/Now


Vocabulary

  • Ray

  • a part of a line that has one endpoint and then extends infinitely in the other direction

**Name always begins with the endpoint

Vocabulary


Vocabulary1

  • Opposite rays

  • choose a point on a line and either side are called opposite rays

Vocabulary


Vocabulary2

  • Angle

  • formed by two noncollinear rays (sides) that have a common endpoint (vertex)

Vocabulary


Vocabulary3

  • Interior

  • “inside the angle”

  • Exterior

  • “outside the angle”

Vocabulary


Vocabulary4

  • angle bisector

  • a ray that divides an angle into 2 congruent angles

Vocabulary


Example 1

Answer:

Angles and Their Parts

A. Name all angles that have B as a vertex.

Example 1


Example 11

Answer:

Angles and Their Parts

B.Name the sides of5.

Example 1


Example 12

C.

Angles and Their Parts

Example 1


Example 1a

A.

B.

C.

D.

A.

Example 1a


Example 1b

A.

B.

C.

D.none of these

B.

Example 1b


Example 1c

A.

B.

C.

D.

Which of the following is another name for 3?

C.

Example 1c


Concept

Concept


Example 2

Measure and Classify Angles

A. Measure TYV and classify it as right, acute, or obtuse.

Example 2


Example 21

Measure and Classify Angles

Example 2


Example 22

Measure and Classify Angles

Example 2


Example 3

Measure and Classify Angles

INTERIOR DESIGN Wall stickers of standard shapes are often used to provide a stimulating environment for a young child’s room. A five-pointed star sticker is shown with vertices labeled. Find mGBH and mHCI if GBH  HCI, mGBH = 2x + 5, and mHCI =3x – 10.

Example 3


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