Constructing Triangles Practice Quiz

Consider the given conditions for a triangle and determine whether they guarantee a unique triangle by selecting true or false.

A triangle with all three side lengths given guarantees a unique triangle.

• True

• False

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Consider the given conditions for a triangle and determine whether they guarantee a unique triangle by selecting true or false.

A triangle with three angle measures given guarantees a unique triangle.

• True

• False

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Consider the given conditions for a triangle and determine whether they guarantee a unique triangle by selecting true or false.

A triangle with two angle measures and an included side guarantees a unique triangle.

• True

• False

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Consider the given conditions for a triangle and determine whether they guarantee a unique triangle by selecting true or false.

A triangle with two angle measures and a non-included side guarantees a unique triangle.

• True

• False

Tags

CCSS.HSG.CO.B.8

Consider the given conditions for a triangle and determine whether they guarantee a unique triangle by selecting true or false.

A triangle with two side lengths and an included angle guarantees a unique triangle.

• True

• False

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

Consider the given conditions for a triangle and determine whether they guarantee a unique triangle by selecting true or false.

A triangle with two side lengths and a non-included angle guarantees a unique triangle.

• True

• False

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Which sets of conditions guarantee a unique triangle? Choose all that apply.

• Angle measures of 35°, 65° , and 80°

• Side lengths of 6 inches, 5  inches, and 4 inches

• Side lengths of 4 cm and 6 cm with an included angle measure of 45°

• Angle measures of 20° and 50° with an included side that is 3 inches long

• Angle measures of 30° and 90° with a non-included side that is 10 cm long

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Consider the triangle shown.

Which side is the included side for ∠A and ∠C?

• Side AB

• Side BC

• Side AC

• Side CB

Tags

CCSS.HSG.CO.B.8

Examine the triangles to determine which triangle matches the description. Circle the triangle that best fits.

Angle measures of 26°, 123°,  and 31°.

• Triangle 1

• Triangle 4

• Triangle 7

• Triangle 2

Tags

CCSS.HSG.CO.C.10

Given the following conditions, determine whether or not they guarantee a uinque triangle.

Angle measures of 26°, 123°,  and 31° ____________ guarantee a unique triangle.

• do

• do not

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.D.11