Scale Drawings

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or a space that is proportionally reduced or enlarged to fit a specific scale.

Front

What does the scale factor indicate in a scale drawing?

Back

The scale factor indicates how much larger or smaller the drawing is compared to the actual object.

Front

If a scale factor is 2, how does it affect the dimensions of the original object?

Back

If the scale factor is 2, the dimensions of the original object are doubled in the scale drawing.

Front

What happens to the area of a shape if the scale factor is doubled?

Back

If the scale factor is doubled, the area of the shape increases by a factor of four (2^2).

Front

What is the relationship between the scale factor and the perimeter of a shape?

Back

The perimeter of a shape is scaled by the same factor as the dimensions; if the scale factor is k, the perimeter is also multiplied by k.

Front

How do you determine if two figures are scaled copies of each other?

Back

Two figures are scaled copies if their corresponding sides are in the same ratio and their angles are equal.

Front

What does a scale factor of 1/2 indicate?

Back

A scale factor of 1/2 indicates a reduction in size, meaning the drawing is half the size of the original.

Front

If a triangle has sides of 3 cm, 4 cm, and 5 cm, what would be the sides of a scaled triangle with a scale factor of 3?

Back

The sides of the scaled triangle would be 9 cm, 12 cm, and 15 cm.

Front

What is the formula to calculate the area of a shape when the scale factor is known?

Back

The area of the scaled shape can be calculated using the formula: Area_scaled = Area_original * (scale factor)^2.

Front

What is the significance of the term 'scaled copy'?

Back

A 'scaled copy' refers to a figure that is an exact replica of another figure, but resized according to a specific scale factor.