IM 8.2.10 Lesson: Meet Slope

[size=150]Write some numbers that are equal to [math]15\div12.[/math][/size]
The figure shows three right triangles, each with its longest side on the same line. Your teacher will assign you two triangles.
Explain why the two triangles are similar.
Complete the table.
Draw two lines with slope 3. What do you notice about the two lines?
Draw two lines with slope 1/2 . What do you notice about the two lines?
As we learn more about lines, we will occasionally have to consider perfectly vertical lines as a special case and treat them differently. Think about applying what you have learned in the last couple of activities to the case of vertical lines. What is the same?
What is different?
Here are several lines. Match each line shown with a slope.
One of the given slopes does not have a line to match. Draw a line with this slope on the empty grid below.

IM 8.2.10 Practice: Meet Slope

Of the three lines in the graph, one has slope 1, one has slope 2, and one has slope 1/5 . Label each line with its slope.
Draw three lines with slope 2, and three lines with slope 1/3. What do you notice?
The figure shows two right triangles, each with its longest side on the same line.
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[/img][br][br][size=150][size=100]Explain how you know the two triangles are similar.[/size][/size]
How long is [math]XY[/math]?
[size=150][size=100]For each triangle, calculate (vertical side) [math]\div[/math] (horizontal side).[/size][/size]
What is the slope of the line? Explain how you know.
Triangle A has side lengths 3, 4, and 5. Triangle B has side lengths 6, 7, and 8.
Explain how you know that Triangle [math]B[/math] is [i]not[/i] similar to Triangle [math]A[/math].
Give possible side lengths for Triangle [math]B[/math] so that it is similar to Triangle [math]A[/math].

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