|BSM

Questions

1 / 10

Time

Score

Use The Properties Of 30-60-90 Triangles To Find The Coordinate Points At The 〖30〗^° (π/6 radian) Angle Measure On The Unit Circle

If coordinates of the point are (1/2, √3/2) then find the angle.

360°

90°

60°

Find the coordinates of the point (x ,y ) where the terminal side of the -30⁰ angle intersects the unit circle.

$\left(\frac{1}{2},\frac{1}{2}\right)$

$\left(\frac{\sqrt{3}}{2},\frac{5}{2}\right)$

$\left(\frac{\sqrt{3}}{2},\frac{-1}{2}\right)$

Fill in the blanks:
In 30-60-90, the sides are in the ratio __________.

1: $\sqrt{3}$ :1

1: $\sqrt{3}$ :2

2: $\sqrt{3}$ :2

Find the coordinates of the point (x ,y ) where the terminal side of the -60⁰ angle intersects the unit circle.

$\left(\frac{1}{2},\frac{1}{2}\right)$

$\left(\frac{1}{2},\frac{-\sqrt{3}}{2}\right)$

$\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$

Is the sentence true or false?
In a 30 -60 -90 triangle, the length of the hypotenuse is twice the length of the shorter leg.

True

False

Is the sentence true or false?
The cosine function of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t.

True

False

If coordinates of the point are $\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$ then find the angle.

30°

90°

60°

Fill in the blanks:
The 30-60-90 triangle is called a special right triangle as the angles of this triangle are in a unique ratio of _____________.

1:2:3

2:2:3

1:3:3

Find the coordinates of the point (x ,y ) where the terminal side of the 60⁰ angle intersects the unit circle.

$\left(\frac{1}{2},\frac{1}{2}\right)$

$\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

$\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$

Is the sentence true or false?
In a 30 -60 -90 triangle, the length of the longer leg is $\sqrt{3}$ times the length of the shorter leg.

True

False

Questions

Time

Score

Use The Properties Of 30-60-90 Triangles To Find The Coordinate Points At The 〖30〗^° (π/6 radian) Angle Measure On The Unit Circle

If coordinates of the point are (1/2, √3/2) then find the angle.

360°

90°

60°

Find the coordinates of the point (x ,y ) where the terminal side of the -300 angle intersects the unit circle.

﻿(12,12)\left(\frac{1}{2},\frac{1}{2}\right)(21​,21​)﻿

﻿(32,52)\left(\frac{\sqrt{3}}{2},\frac{5}{2}\right)(23​​,25​)﻿

﻿(32,−12)\left(\frac{\sqrt{3}}{2},\frac{-1}{2}\right)(23​​,2−1​)﻿

Fill in the blanks: In 30-60-90, the sides are in the ratio __________.

1:﻿3\sqrt{3}3​﻿ :1

1:﻿3\sqrt{3}3​﻿ :2

2:﻿3\sqrt{3}3​﻿ :2

Find the coordinates of the point (x ,y ) where the terminal side of the -600 angle intersects the unit circle.

﻿(12,12)\left(\frac{1}{2},\frac{1}{2}\right)(21​,21​)﻿

﻿(12,−32)\left(\frac{1}{2},\frac{-\sqrt{3}}{2}\right)(21​,2−3​​)﻿

﻿(32,12)\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)(23​​,21​)﻿

Is the sentence true or false? In a 30 -60 -90 triangle, the length of the hypotenuse is twice the length of the shorter leg.

True

False

Is the sentence true or false?The cosine function of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t.

True

False

If coordinates of the point are ﻿(32,12)\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)(23​​,21​)﻿ then find the angle.

30°

90°

60°

Fill in the blanks: The 30-60-90 triangle is called a special right triangle as the angles of this triangle are in a unique ratio of _____________.

1:2:3

2:2:3

1:3:3

Find the coordinates of the point (x ,y ) where the terminal side of the 600 angle intersects the unit circle.

﻿(12,12)\left(\frac{1}{2},\frac{1}{2}\right)(21​,21​)﻿

﻿(12,32)\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)(21​,23​​)﻿

﻿(32,12)\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)(23​​,21​)﻿

Is the sentence true or false?In a 30 -60 -90 triangle, the length of the longer leg is ﻿3\sqrt{3}3​﻿ times the length of the shorter leg.

True

False

Incorrect

Great!

Find the coordinates of the point (x ,y ) where the terminal side of the -30⁰ angle intersects the unit circle.

$\left(\frac{1}{2},\frac{1}{2}\right)$

$\left(\frac{\sqrt{3}}{2},\frac{5}{2}\right)$

$\left(\frac{\sqrt{3}}{2},\frac{-1}{2}\right)$

Fill in the blanks:
In 30-60-90, the sides are in the ratio __________.

1: $\sqrt{3}$ :1

1: $\sqrt{3}$ :2

2: $\sqrt{3}$ :2

Find the coordinates of the point (x ,y ) where the terminal side of the -60⁰ angle intersects the unit circle.

$\left(\frac{1}{2},\frac{1}{2}\right)$

$\left(\frac{1}{2},\frac{-\sqrt{3}}{2}\right)$

$\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$

Is the sentence true or false?
In a 30 -60 -90 triangle, the length of the hypotenuse is twice the length of the shorter leg.

Is the sentence true or false?
The cosine function of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t.

If coordinates of the point are $\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$ then find the angle.

Fill in the blanks:
The 30-60-90 triangle is called a special right triangle as the angles of this triangle are in a unique ratio of _____________.

Find the coordinates of the point (x ,y ) where the terminal side of the 60⁰ angle intersects the unit circle.

$\left(\frac{1}{2},\frac{1}{2}\right)$

$\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

$\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$

Is the sentence true or false?
In a 30 -60 -90 triangle, the length of the longer leg is $\sqrt{3}$ times the length of the shorter leg.