Draw Triangles Given Conditions

Tell whether this figure creates the conditions to for a unique triangle, more than 1 triangle, or no triangle.

• unique triangle

• more than 1 triangle

• no triangle

If angle A is 45 degrees, angle B is 45 degrees, and line AB is 5 cm, how many triangles can you create?

• Only 1 unique triangle

• Multiple triangles

• No triangles

side lengths of 4,4,4 form a triangle

• True

• False

Kelly is using wire to construct a triangle for an art project. She has 4 inches of blue wire and 8 inches of green wire. Kelly is going to buy some purple wire for the third side of her triangle. She needs to buy enough wire to make a triangle, but does not want any wire left over. What is the least amount and the greatest amount of purple wire she can buy?

• Kelly could buy more than 4 inches but less than 12 inches of purple wire.

• Kelly could buy more than 12 inches but less than 4 inches of purple wire.

• Kelly could buy more than 2 inches but less than 14 inches of purple wire

• Kelly could buy more than 14 inches but less than 2 inches of purple wire

Which of these conditions can create a triangle?

• m∠A=60°, m∠B=60°, m∠C=60°

• m∠A=20°, m∠B=80°, m∠C=30°

• AB=9cm, BC=7cm, CA=23cm

• AB=12cm, BC=17cm, CA=11cm

• Equilateral triangle

• Isosceles triangle

• Scalene triangle

• Right triangle

Which set of measurements below would produce many triangles?

• 6 in, 4 in, 16 in

• 45 degrees, 45 degrees, 90 degrees

• 12 in, 8 in, 5 in

• 30 degrees, 45 degrees, 110 degrees

John draws triangle ABC. Line AB has a length of 10 inches and line BC has a length of 15 inches. Determine whether each measurement could be the length of side AC. Choose Yes or No.

• Yes

• No

John draws triangle ABC. Line AB has a length of 10 inches and line BC has a length of 15 inches. Determine whether each measurement could be the length of side AC. Choose Yes or No.

• Yes

• No

John draws triangle ABC. Line AB has a length of 10 inches and line BC has a length of 15 inches. Determine whether each measurement could be the length of side AC. Choose Yes or No.

• Yes

• No