Finding Missing Sides with Proportions

What does it mean when geometric shapes are described as similar?

• They are exactly identical in shape and size.

• They are proportionally the same in terms of side lengths.

• They have the same angles but different side lengths.

• They have the same color and texture.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is the first step in solving for a missing side in similar shapes?

• Label all sides with units.

• Identify which sides to compare.

• Perform cross multiplication immediately.

• Calculate the area of the shapes.

Tags

CCSS.HSG.SRT.B.5

What is the importance of labeling sides in a proportion problem?

• It helps in identifying correct sides to compare.

• It is not necessary if solving for one side.

• It makes the shapes look better.

• It changes the results of the calculations.

What does cross multiplication help to achieve in proportion problems?

• It calculates the perimeter of the shape.

• It helps solve for the unknown variable.

• It finds the greatest common divisor.

• It simplifies the equation.

Tags

CCSS.7.RP.A.3

How do you verify if your solution for the proportions is correct?

• By dividing the values.

• By adding the values.

• By checking if the cross products are equal.

• By subtracting the values.

Why is it crucial to know that two shapes are similar when solving proportion problems?

• It helps in determining the texture.

• It is only necessary for color matching.

• It ensures the proportions are set up correctly.

• It confirms the shapes can rotate.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What should you do if a side in a shape problem does not have a given value?

• Choose another side that has sufficient information.

• Guess the value based on shape size.

• Assume any value for calculations.

• Ignore the side and solve with available sides.

Tags

CCSS.8.G.A.2

In the proportion X/5 = 16/8, what is the value of X?

• 5

• 20

• 8

• 10

Tags

CCSS.7.RP.A.2B

What is the result of cross multiplying 8X = 16 * 5?

• X = 5

• X = 15

• X = 10

• X = 20

Tags

CCSS.6.RP.A.3B

How do you determine which sides to compare in similar shapes?

• Compare the longest sides only.

• Compare corresponding sides that are proportional.

• Compare any random sides.

• Compare sides with the same color.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6