Proportionality and Similar Shapes (7th TEKS)

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the definition of proportionality?

Back

Proportionality refers to the relationship between two quantities where their ratio remains constant.

Tags

CCSS.7.RP.A.2A

Front

How do you find the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Tags

CCSS.7.G.A.1

Front

What is the formula for the circumference of a circle?

Back

The circumference (C) of a circle is calculated using the formula C = πd, where d is the diameter.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the diameter and the radius of a circle?

Back

The diameter of a circle is twice the length of the radius. (d = 2r)

Tags

CCSS.7.G.B.4

Front

If two triangles are similar, how do you find the lengths of their corresponding sides?

Back

To find the lengths of corresponding sides, use the ratio of the lengths of the sides of one triangle to the lengths of the sides of the other triangle, which is equal to the scale factor.

Tags

CCSS.HSG.SRT.A.2

Front

What is the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all its sides.

Tags

CCSS.3.MD.D.8

Front

How do you calculate the height of a scale model?

Back

To calculate the height of a scale model, divide the actual height by the scale factor.

Tags

CCSS.7.RP.A.2C

Front

What is a scale factor in modeling?

Back

A scale factor is a ratio that compares the dimensions of a model to the dimensions of the actual object.

Tags

CCSS.7.RP.A.2C

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Tags

CCSS.6.RP.A.3A