Similar Triangles and Slope

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

If two triangles are similar, what can be said about their slopes?

Back

The slopes of the corresponding sides of similar triangles are equal.

Front

What does it mean if two triangles are congruent?

Back

Congruent triangles are triangles that are the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

Front

If triangle ABC has a slope of 1, what is the slope of triangle DEF if they are similar?

Back

The slope of triangle DEF is also 1, as similar triangles have equal slopes.

Front

What is the slope of a line that falls 2 units for every 3 units it runs?

Back

Front

How can you determine if two triangles are similar using their slopes?

Back

If the slopes of the corresponding sides of two triangles are equal, then the triangles are similar.

Front

What is the relationship between the slopes of two triangles that are not similar?

Back

The slopes of two triangles that are not similar will not be equal.