8.4A Similar Right Triangle "They have the same 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 does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line, which defines the slope of that line.

Front

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

Back

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

Front

What is the slope of a line segment with a rise of 3 and a run of 2?

Back

The slope is 3/2.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the relationship between the slopes of the hypotenuses of two similar right triangles?

Back

The slopes of the hypotenuses of two similar right triangles are equal.

Front

What does it mean if the slope of triangle AC is equal to the slope of triangle DF?

Back

It means that the triangles are similar and have the same angle measures.

Front

If triangle DEF has a slope of 4/3, what can be said about triangle GHI if they are similar?

Back

Triangle GHI will also have a slope of 4/3.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, which can be used in various applications such as determining speed, incline of a hill, or cost per item.