CSA 3rd Quarter Course III Study Guide

Which pair of angles are complementarty ?

• <CDA and <ADB

• <CDF and <FDG

• <BDE and <CDF

• <CDG and <GDE

Answer explanation

Complementary is two or more angles that equal to 90 degrees and/or make a right angle in the shape of a perfect L

Tags

CCSS.7.G.B.5

Parker is drawing a diagram of a shelf with supports that bisect the angles. If ∠ADB measures 45 degrees, what is the measure of ∠BDC?

Answer explanation

Think of them as being vertical angles. They are across from eachother same shape and size because the square was cut in half

Tags

CCSS.HSG.CO.C.11

Jason buys a container of popcorn at the movie theater. The container is a cylinder that has a diameter of 10 inches and height of 18 inches. How many cubic units can the container hold if the height is cut in half? Round to the nearest whole number.

Answer explanation

cubic units means VOLUME. They gave me the diameter so to find the radius I must divide by 2. (Think about cutting it in half)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which is closest to the volume of the figure shown?

Answer explanation

There is a triangle inside of the cone. Find the height by using pythagorean theorem. The plug in the formula for Volume of a cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Oliver wants to fill the entire square-based pyramid. What is the minimum amount needed to fill the pyramid?

Answer explanation

You must find the height by using pythagorean theorem. Except the a has to be divided by 2. Once you find the height of 12 you can plug it into your formula.

Tags

CCSS.HSG.GMD.A.3

∆ABC was originally located at A(8, –4), B(4, –4) and C (4, 0). After dilation, the image coordinates of the triangle were A’(4, –2), B’(2, –2), and C’(2, 0). What was the scale factor for the dilation?

• -4

• 2

Answer explanation

The Image(Shape with the pimes ' ) is smaller than the Pre-Image (Original image) so therefore it is a reduction. We have a reduction we know we are using fractions. 8 x 1/2 = 4.

Tags

CCSS.8.G.A.3

Which of the following could be the figure represented by the three perspectives below?

• A

• B

• C

• D

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

If a painter leans a 34-foot ladder against a building and the base of the ladder is 16 feet from the building, how high on the building does the ladder reach?

• 20 feet

• 30 feet

• 15 feet

• 10 feet

Answer explanation

pythagorean theorem.

Tags

CCSS.8.G.B.8

Select the correct Answer.

• A

• B

• C

• D

Answer explanation

X is always a independent variable

y is always a dependent variable

Tags

CCSS.HSF.IF.A.2

What is the formula for area of the shape in the middle?

Tags

CCSS.6.G.A.1