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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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Presentation Transcript
slide2

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
example 2

Measure and Classify Angles

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

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