Scale Factor Closure

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is used to determine how much larger or smaller a figure is compared to another figure.

Tags

CCSS.7.G.A.1

Front

How do you calculate the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

If the scale factor is k, how does it affect the area of a shape?

Back

If the scale factor is k, the area of the shape is multiplied by k squared (k^2).

Tags

CCSS.7.G.A.1

Front

What is the relationship between the perimeters of similar triangles?

Back

The perimeters of similar triangles are proportional to their corresponding side lengths, which means if the scale factor is k, the perimeter is also multiplied by k.

Front

How do you find the perimeter of a triangle?

Back

The perimeter of a triangle is found by adding the lengths of all three sides: Perimeter = side1 + side2 + side3.

Tags

CCSS.3.MD.D.8

Front

What happens to the perimeter of a triangle when the scale factor is applied?

Back

When a scale factor k is applied, the perimeter of the triangle is multiplied by k.

Tags

CCSS.7.G.A.1

Front

What is the formula for the area of a triangle in terms of its sides?

Back

The area can also be calculated using Heron's formula: Area = √[s(s-a)(s-b)(s-c)], where s is the semi-perimeter (s = (a+b+c)/2) and a, b, c are the lengths of the sides.

Tags

CCSS.HSG.SRT.D.9

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle A has an area of 7 cm² and triangle B has an area of 252 cm², what is the scale factor for their areas?

Back

The scale factor for their areas is √(252/7) = √36 = 6.

Tags

CCSS.7.G.A.1

Front

How do you determine the scale factor between two similar triangles?

Back

The scale factor can be determined by dividing the length of a side of one triangle by the length of the corresponding side of the other triangle.

Tags

CCSS.7.G.A.1