Math 7 Unit 7 Angles, Triangles, and Prisms

Is it possible to construct a triangle with the following conditions?

A triangle with angle measures 60°, 80°, and 80°

• Yes

• No

Answer explanation

the angles are much too large

Tags

CCSS.7.G.A.2

Is it possible to construct a triangle with the following conditions?

A triangle with side lengths 4 cm, 5 cm, and 6 cm

• Yes

• No

Tags

CCSS.7.G.A.2

Is it possible to construct a triangle with the following conditions?

A triangle with side lengths 4 cm, 5 cm, and 15 cm

• Yes

• No

Answer explanation

15 cm is far too long

Tags

CCSS.7.G.A.2

Is it possible to construct a triangle with the following conditions?

A triangle with side lengths 4 cm and 5 cm and a 50° angle

• Yes

• No

Tags

CCSS.7.G.A.2

Is it possible to construct a triangle with the following conditions?

A triangle with angle measures 30° and 60°, and a 3 cm side length

• Yes

• No

Tags

CCSS.7.G.A.2

A square pyramid is sliced parallel to the base and halfway up the pyramid. Which of these describes the cross section?

• A square smaller than the base

• A quadrilateral that is not a square

• A square the same size as the base

• A triangle with a height the same as the pyramid

Tags

CCSS.7.G.A.3

Does this describe a unique polygon?

A triangle with angles 30°, 50°, and 100°

• Yes

• No

Answer explanation

a scaled copy of the triangle will have the same angle measures

Tags

CCSS.2.G.A.1

Does this describe a unique polygon?

A quadrilateral with each side length 5 cm

• Yes

• No

Answer explanation

it could be a square or a rhombus of many different angles

Does this describe a unique polygon?

A triangle with side lengths 6 cm, 7 cm, and 8 cm

• Yes

• No

Tags

CCSS.7.G.A.2

Does this describe a unique polygon?

A triangle with side lengths 4 cm and 5 cm and a 50° angle

• Yes

• No

Answer explanation

the stated angle's location was not given, allowing there to be multiple triangles with this information

Tags

CCSS.8.G.A.2