Explore Dilation, Similarity, and Slope Concepts

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

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.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation.

Front

If a triangle has angles measuring 53°, 78°, and 49°, what are the angles of a similar triangle?

Back

The angles remain the same: 53°, 78°, and 49°.

Front

How do you find the slope of a line?

Back

The slope of a line is found by taking the difference in the y-coordinates divided by the difference in the x-coordinates of two points on the line.

Front

What is the slope of the line represented by the equation y = 5/2x - 22?

Back

The slope is 5/2.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If the slope of a line is -1/4, what does this mean?

Back

It means that for every 4 units the line moves horizontally to the right, it moves down 1 unit.