Transformations & Angles
Congruence & Similarity
Right Triangle Trigonometry
Solid Geometry
Circles
100

On your white board:

Sketch a ray.

------>

100

What does it mean when two things are congruent?

Same size, same shape.

100

What does SOH CAH TOA mean? Make sure to tell me what EVERY letter means.

SOH: Sine = opposite/hypotenuse

CAH: Cosine = adjacent/hypotenuse

TOA: Tangent = opposite/adjacent

100

What 3D shape has 2 triangular bases?

Triangular prism.

100

What is the equation of a circle?

(x-h)^2 + (y-k)^2 = r^2

200

Explain the difference between a translation, rotation, and reflection.

Translation: Slide, moves up/down, left/right

Rotation: Turn, turns 90 degrees, 180 degrees, 270 degrees. 

Reflection: Flip, mirror over the line of reflection

200

What does it mean when 2 things are similar?

Same shape, different size.

200

When do you use inverse functions?

To find the angle.

200

What is the volume formula for a hemisphere?

((4/3)*pi*r^3)/2

200

Name the two most important characteristics of a circle.

The center and the radius.

300

Name two types of angles that are congruent.

Vertical angles

Corresponding angles

Alternate Interior angles

300

Name 2 triangle congruence theorems.

SSS congruence

SAS congruence

ASA congruence

AAS congruence

300

What trig function would you use to find the value of the angle if:

-hypotenuse = 15 inches

-opposite = 3 inches

Inverse sine

300

Find the volume of a cone:

radius = 12 cm

Height = 60 cm

2880pi cm^3

300

What is the equation of a circle with a center at (-3,-7) and a diameter of 18 inches?

(x+3)^2 + (y+7)^2 = 81

400

Look at the poster and find the value of x.

x=25 degrees

400
What is the reflexive property?

Reflexive property means that everything is congruent to itself.

400

Find the value of the opposite side if:

-reference angle = 61

-adjacent = 12 meters

Round to the nearest hundredth.

opposite side = 21.65 meters

400

Find the Height of the rectangular prism:

b=7 in

h=9 in

V=819 in^3

H = 13in

400

What is the equation of a circle with a center at the origin and a radius that passes through the point (10, 0)?

(x-0)^2 + (y-0)^2 =100

or

(x)^2 + (y)^2 =100

500

Look at the poster and find the value of k.

k=164 degrees

500

Given: The diagram.

Prove that triangle ABC ~ triangle DEC.

Remember to start your proof with the given and end the proof with a triangle similarity statement and the similarity theorem.


*You can write or say your proof.

Line segment AB is parallel to line segment DE->Given

Angle BCA is congruent to angle ECD->Vertical angles are congruent

Angle A is congruent to angle D->With parallel lines, alternate interior angles are congruent.

Triangle ABC ~ triangle DEC by AA~


*Could also use triangle sum theorem

*Could also use angle E congruent to angle B -> with parallel lines, alternate interior angles are congruent

500

Find the value of the hypotenuse if:

-reference angle = 34 degrees

-adjacent = 60 feet

Round to the nearest hundredth.

hypotenuse = 72.37 feet

500

Look at the poster, find the volume.

48 cm^3

500

What is the equation of a circle with a center at (4,-2) and a radius that passes through the point (10, -16)?

(x-4)^2 + (y+2)^2 =232