Lines, Angles, and Shapes

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Objective

I can construct geometric shapes using appropriate tools and describe their properties related to lines and angles.

Part 1 of 4

Warm-up video

Khan Academy · 4:09Vetted channel

We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    A compass is a tool used to draw perfect circles or arcs with a constant radius.

  2. 2

    To construct a congruent angle, first draw an arc that intersects both rays of the original angle, keeping the compass radius constant when drawing a similar arc on the new angle.

  3. 3

    If all three sides of two triangles are congruent, then the corresponding angles must also be congruent.

Part 3 of 4

Practice

10 questions

1

What tool is used to draw perfect circles or arcs?

2

Explain the purpose of using a compass in constructing congruent angles.

Part 4 of 4

Exit ticket

Quick comprehension check

Using a compass and straightedge, construct an angle congruent to the angle ∠PQR. Label the new angle ∠XYZ, clearly showing all arcs used in the construction.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

  • Slides

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