1-29/1-30 HW Angles and Triangles

Determine whether the statement is sometimes, always, or never true.

One of two complementary angles is obtuse.

• always; When angles are complementary, one must be at least 90º.

• sometimes; When angles are complementary, and one is obtuse, the other can be either acute or obtuse.

• sometimes; Since the angles have a sum of 180º, one can be obtuse, or both could be right angles.

• never; Since the angles have a sum of 90º, if one is more than 90º, the sum cannot be 90º.

Tags

CCSS.7.G.B.5

Classify the pair of angles as adjacent, vertical, supplementary, complementary, or neither.

• vertical

• adjacent and complementary

• adjacent and supplementary

• neither

Tags

CCSS.7.G.B.5

Classify the pair of angles as adjacent, vertical, supplementary, complementary, or neither.

• vertical

• adjacent and complementary

• adjacent and supplementary

• neither

Tags

CCSS.7.G.B.5

Classify the pair of angles as adjacent, vertical, supplementary, complementary, or neither.

• vertical

• adjacent and complementary

• adjacent and supplementary

• neither

Tags

CCSS.7.G.B.5

Classify the marked triangle in the object by its angles and its sides.

• acute and isosceles

• acute and scalene

• right and isosceles

• right and scalene

Tags

CCSS.4.G.A.2

Determine the value of the third angle in the triangle.

• 60

• 30

• 90

• 120

Tags

CCSS.8.G.A.5

The roof of a dollhouse is shown. Determine the measure of the third angle in the triangle and then classify the triangle.

• 94º; obtuse, isosceles

• 94º; obtuse, scalene

• 90º; right, isosceles

• 4º; acute, isosceles

Tags

CCSS.8.G.A.5

Classify the marked triangle in the object by its angles and its sides.

• acute and isosceles

• acute and scalene

• obtuse and isosceles

• obtuse and scalene

Tags

CCSS.4.G.A.2

Write and solve an equation to determine the value of x in the figure.

• x = 14

• x = 59

• x = 31

• x = 62

Tags

CCSS.7.G.B.5

Determine whether the statement is sometimes, always, or never true.

Equilateral triangles are acute.

• always; Since the sum of the measures is 180º, and the angle measures are equal, each angle measures , or 60º.

• sometimes; Since the sum of the measures is 180º, and the triangle measures are equal, the measure of each may or may not be less than 90º.

• sometimes; Since the triangle is equilateral, it may also be isosceles and isosceles triangles can have obtuse angles.

• never; Since the sum of the measures is 180º, one of the angles must be obtuse.

Tags

CCSS.4.G.A.2