Unit 1 Wrap-Up

What is the complement of a 40° angle?

• 140°
• -50°
• 50°
• 90°

Answer explanation

The complement of an angle is 90° minus the angle. 90° - 40° = 50°.

Tags

CCSS.7.G.B.5

What is the supplement of a 62° angle?

• 28°
• 180°
• -118°
• 118°

Answer explanation

The supplement of an angle is 180° minus the angle. 180° - 62° = 118°.

Tags

CCSS.7.G.B.5

What is a positive angle measured by rotating?

• Clockwise
• Upwards
• Counterclockwise
• Downwards

Answer explanation

Positive angles are measured by rotating counterclockwise from the initial side.

What is an angle in standard position if its vertex is at the origin and its initial side lies along the positive x-axis?

• Quadrantal Angle
• Coterminal Angle
• Terminal Position
• Standard Position

Answer explanation

An angle is in standard position if its vertex is at the origin and its initial side lies along the positive x-axis.

Tags

CCSS.5.G.A.1

What is the least positive coterminal angle for 908°?

• 908°
• 548°
• -188°
• 188°

Answer explanation

Coterminal angles are separated by a full rotation of 360°. To find the least positive coterminal angle for 908°, you would subtract 360° repeatedly until you get a value between 0° and 360°. 908° - 360° = 548°. 548° - 360° = 188°.

What is the sum of the angles inside a triangle?

• 90°
• 360°
• 270°
• 180°

Answer explanation

The sum of the angles inside a triangle is 180°.

Tags

CCSS.8.G.A.5

If the terminal side of an angle in standard position passes through the point (-3, -4), what is the value of r?

• -5.0
• 7.0
• 5.0
• 1.0

Answer explanation

The value of r is the distance from the origin (0,0) to the point (x,y), which can be calculated using the formula

Tags

CCSS.HSF.TF.A.2

Which trigonometric function is the reciprocal of secant?

• Sine
• Tangent
• Cosine
• Cotangent

Answer explanation

Secant is the reciprocal of cosine.

Tags

CCSS.HSF.TF.A.2

What are angles called when their terminal sides lie on the x-axis or y-axis?

• Coterminal Angles
• Complementary Angles
• Supplementary Angles
• Quadrantal Angles

Answer explanation

Angles in standard position whose terminal sides lie along the x-axis or y-axis are called quadrantal angles.

For an angle in standard position, which axis does the initial side lie along?

• Positive x-axis
• Negative x-axis
• Positive y-axis
• Negative y-axis

Answer explanation

The initial side of an angle in standard position lies along the positive x-axis.

Tags

CCSS.5.G.A.1