Lesson 27

Lesson 27

p. 2 - 11

Solve Proportions

Remember the Pythagorean Theorem

Identify parts of a right triangle

Circles

Treat the
radicals like
variables.

Remember:
you can only
combine like
terms

Copy. Answer.

Multiple Choice

What is the opposite side to <D?

• EF

• DF

• DE

Multiple Choice

Find the exact value of x. 

• $$\sqrt{29}$$

• $$\sqrt{7}$$

• $$7$$

• $$10$$

Multiple Choice

What is the opposite side to <E?

• EF

• DF

• DE

Multiple Choice

What is the adjacent side to <D?

• EF

• DF

• DE

Multiple Choice

What is the length of x in this 45-45-90 triangle?

• $$4\sqrt{2}$$

• $$4$$

• $$8$$

• $$4\sqrt{3}$$

Multiple Choice

What is the green side labelled as using the starred angle as a starting point?

• adjacent

• opposite

• hypotenuse

Multiple Select

What is the length of u and v in this 30-60-90 triangle?

• $$u=8$$

• $$u=4\sqrt{2}$$

• $$u=16$$

• $$v=8$$

• $$v=4\sqrt{3}$$

Multiple Choice

What is the green side labelled as from the starred angle?

• adjacent

• opposite

• hypotenuse

Multiple Choice

From ∠C, what side is AB?

• Adjacent

• Hypotenuse

• Opposite

Multiple Choice

You are making a guitar pick that is an equilateral triangle with side lengths of 32 millimeters. What is the exact height of the pick? (hint: use 30-60-90 theorems)

• $$32\sqrt{3}$$

• $$16\sqrt{3}$$

• $$32$$

• $$16\sqrt{2}$$

Multiple Choice

In the equation $$(x+2)^2+(y-3)^2=4$$ , the radius of the circle is...

• 4
• 2
• 3
• 16

Multiple Choice

In the equation $$(x-4)^2+(x-3)^2=25$$ , the radius is

• 4
• 3
• 5
• 25

Multiple Choice

What part of a circle does the red line represent?

• the radius

• the diameter

• the circumference

Multiple Choice

Name the pictured part of the circle.

• Radius

• Central Angle

• Sector

• Center

• Arc

Multiple Choice

In the equation
$$(x-3)^2+(y-2)^2=16$$ , the center of the circle is...

• (3,2)
• (-3, -2)
• (-2, -3)
• (2, 3)

Multiple Choice

What part of a circle does the red line represent?

• the radius

• the diameter

• the circumference

Dropdown

What is the center of the circle if the equation is $$(x+2)^2+(y-4)^2=41$$ ?

Select answer

Dropdown

What is the equation for this circle?

Select answer

Drag and Drop

What is this called?

Placeholder

Drag these tiles and drop them in the correct blank above

Chord

Minor arc

Secant

Diameter

Drag and Drop

What is the center of the circle with equation $$x^2+y^2=1$$ ?

Placeholder

Drag these tiles and drop them in the correct blank above

(1, 1)

(0, 0)

good question

(-1, -1)

Multiple Choice

Which of the following graphs represents this circle equation --   $$x^{2\ }+\ \left(y-6\right)^{2\ }=\ 25$$  

Dropdown

Find the center if the endpoints of the diameter are at (-12, -7) and (3, 5).

Select answer

SAT Connection

Work

p. 2 - 11