IM Math 7 Unit 7 Recap #1

• 28 degrees

• 118 degrees

• 48 degrees

• 90 degrees

If two angles are both vertical and supplementary, can we determine the angles? Is it possible to be both vertical and complementary?

• Yes, they are both possible. Vertical and supplementary angles must be each $90\degree$ , because the two angles must be the same and sum to $180\degree$ . Vertical and complementary angles must be $45\degree$ , because the two angles must be the same and sum to $90\degree$ .

• No, it is not possible to be vertical and supplementary, but Yes for vertical and complementary.

• Yes it is possible to be vertical and supplementary, but not possible for vertical and complimentary.

• Neither is possible

• Yes! They both have a $95\degree$ angle, a $70\degree$ angle and a side length of 12.

• No, these two triangles are not identical. They have two of the same angle measures and one side length is the same, but the sides and angles are arranged differently in each triangle.

Tyler claims that if two triangles each have a side length of 11 units and a side length of 8 units, and also an angle measuring $100\degree$  , they must be identical to each other. Do you agree? Explain your reasoning.

How many unique triangles can you draw like this?

• One

• Two

• Three

• Infinite

• Option 1

• Option 2

• Option 3

• They are all ;possible.

A triangle has sides of length 7 cm, 4 cm, and 5 cm. How many unique triangles can be drawn that fit that description?

• One

• Two

• Three

• Infinite