Beat the Clock You have 20 seconds to respond! Have fun!

Beat the ClockYou have 20 seconds to respond! Have fun!

Complete the sentence . . .

One radian is the measure of a central angle that intercepts an arc that is . . .

. . . equal in length to the radius of the circle.

The word trigonometry means . . .

. . . measurement of triangles.

The ray along the x-axis of an angle in standard position is called . . .

. . . the initial ray.

The rotated ray, of an angle in standard position, is called . . .

. . . the terminal ray.

An angle is usually drawn on the coordinate plane in . . .

. . . standard position.

Positive angles are generated by . . .

. . . a counterclockwise rotation of the terminal ray.

A negative angle is generate by . . .

. . . A clockwise rotation of the terminal ray.

Angles with coinciding initial and terminal rays are called . . .

. . . coterminal angles.

A full rotation around a circle in degrees is . . .

. . . 360.

A full rotation around a circle in radians is exactly . . .

. . . 2π radians

The degrees in a semi-circle is . . .

. . . 180.

The radians in a semi-circle total exactly . . .

. . . π radians

If the terminal ray lies on an axis the angle is called . . .

. . . a quadrantal angle.

To find a coterminal angle for an angle given in degrees . . .

. . . you add or subtract multiples of 360.

To find a coterminal angle for an angle given in radians . . .

. . . you add or subtract multiples of 2π.

A portion of the circumference of a circle is called . . .

. . . an arc.

The length of an arc for a central angle in degrees is given by the formula . . .

. . . 𝑠=𝜃

3602π 𝑟

The length of an arc for a central angle in radians is given by the formula . . .

. . . 𝑠=𝑟

The area bounded by a central angle and the arc it intercepts is called . . .

. . . a sector.

The area of a sector with a central angle in radians is given by the formula . . .

𝐾=𝜃

360π 𝑟2. . .

The area of a sector with a central angle in radians is given by the formula . . .

𝐾=12𝑟 2𝜃. . .

Kelly Jo

2=m3+ m 2=m 3, thenm 1=m 4

Subtraction POE

2=m3+ m 2=m 3, thenm 1=m 4

Kendra

When you combine like terms.

Simplify

When you combine like terms.

Klea

Therefore,

Supplements Theorem

Therefore,

Kyle

Therefore,

Supplements Theorem

Therefore,

Sam

Therefore,

ComplementsTheorem

Therefore,

Carson

Therefore,

Complements Theorem

Therefore,

Brandon

1 and 2 are vertical angles,Therefore, 12

Vertical s Theorem

1 and 2 are vertical angles,Therefore, 12

Sam

1 and 2 are right angles,Therefore, 12

Right s Theorem

1 and 2 are right angles,Therefore, 12