Q2 W5 Flashcard 2 (Dilations and Distance Formula)

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Front

If a triangle has vertices A(2,0), B(3,-1), and C(-2,-5), what are the new coordinates after a dilation by a scale factor of 3 with the origin as the center?

Back

The new coordinates are A'(6,0), B'(9,-3), C'(-6,-15).

Front

What mathematical operation is used in a dilation with a scale factor?

Back

Multiplication is used with the scale factor in a dilation.

Front

What does it mean if a dilation has a scale factor of 1/2?

Back

It indicates a reduction in size.

Front

What are the coordinates of point A(3, 6) after a dilation of 2?

Back

The coordinates of A' are (6, 12).

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Front

What is the scale factor if a shape is reduced to half its size?

Back

The scale factor is 1/2.

Front

What is the formula for calculating the distance between two points in a coordinate plane?

Back

Front

If point B(3, -1) is dilated by a scale factor of 3, what are the new coordinates?

Back

The new coordinates of B' are (9, -3).

Front

What happens to the coordinates of a point when it is dilated by a scale factor of k?

Back

Each coordinate is multiplied by k.