**Warmup**

**Activity #1**

**Constructing a Triangle Given 3 Sides.**

If you get stuck, watch the video below.

- Use the Point tool to plot two points 6 cm apart.
- Use the Segment tool to link the two points.
- With A as center, draw a circle of radius 4 cm.
- With B as center, draw another circle of radius 6 cm.
- Use the Point tool to mark one of the points where the circles meet.
- Use the Polygon tool to draw a triangle through the three points.
- Use the Distance or Length tool to label the sides of the triangle.
- Use the sliders to navigate the different possible triangles that can be created.

**Activity #2**

** Triangle Construction.**

- Draw as many different triangles as you can with the following: One side measures 4 cm, another side measures 5 cm, and one angle measures 40°.

- Draw as many different triangles as you can with the following: Two sides measure 6 cm and one angle measures 100°.

(1.) Did either of these sets of measurements determine one unique triangle?

(2.) How do you know?

**Activity #3**

** Triangle Construction.**

- Draw as many different triangles as you can with the following: One angle measures 50°, one measures 60°, and one measures 70°.

- Draw as many different triangles as you can with the following: One angle measures 50°, one measures 60°, and one measures 100°.

**Challenge #1**

Draw a 40° angle. Use a compass to make sure both sides of your angle have a length of 5 centimeters.

If you connect the ends of the sides you drew to make a triangle, is the third side longer or shorter than 5 centimeters? How can you use a compass to explain your answer?

**Challenge #2**

Using only the point, segment, and compass tools provided, create an equilateral triangle. You are only successful if the triangle remains equilateral while dragging its vertices around.

**Quiz Time**

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