Triangle Conditions

Lian builds model boats. He has three leftover pieces that are 2 in., 3 in., and 4 in. long. How many triangles can he form?

• one unique triangle

• more than one triangle

• no triangle

• two triangles

Tags

CCSS.7.G.A.2

Can you form a unique triangle, more than one triangle, or no triangle with angles that measure 50°, 90°, and 110°?

• one unique angle

• more than one triangle

• no triangle

Tags

CCSS.7.G.A.2

Which conditions result in a unique triangle?

• a 5 cm side between two right angles

• a 5 cm side between a 90° angle and a 120° angle

• a 5 cm side between a 30° angle and a 90° angle

• a 30° angle, a 60° angle, and a 90° angle

Tags

CCSS.7.G.A.2

Which of the following conditions form a unique triangle?

• a 90° angle and two 45° angles

• a 3 cm side between a 90° angle and a 60° angle

• a 3 cm side, a 4 cm side, and an 8 cm side

• a 3 cm side between a 120° and a 100° angle

Tags

CCSS.7.G.A.2

Which set of conditions describe no triangle?

• side lengths 2 m, 8 m, and 9 m

• one right angle and one 100° angle

• angle measures 90° and 37° and one 9 yd. side

• two 3 in. sides and one 7 in. side

Tags

CCSS.7.G.A.2

If you are given three angles of a triangle what will be true?

• You can make infinitely many unique triangles.

• You can't make any triangles with this information.

• You can only make one unique triangle.

• You can only make 2 unique triangles.

Tags

CCSS.7.G.A.2

If you are given two sides of a triangle what will be true?

• You can make infinitely many unique triangles.

• You can't make any triangles with this information.

• You can only make one unique triangle.

• You can only make 2 unique triangles.

Tags

CCSS.7.G.A.2

How many triangles exist with the following angle measures?
80°, 50°, 50°

• No triangle exists with the given angle measures.
• More than one unique triangle exists with the given angle measures.
• Exactly one unique triangle exists with the given angle measures.

Tags

CCSS.7.G.A.2

How many triangles exist with the given angle measures?  55°, 45°, 90°

• No triangle exists
• Exactly one unique triangle exists
• More than one triangle exists

Tags

CCSS.7.G.A.2

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

Tags

CCSS.8.G.A.2