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4.05 Slopes of lines and similar triangles

Interactive practice questions

Consider the points $A$A, $B$B and $C$C.

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a

Complete the directions that explain how to move from point $A$A to point $B$B.

From $A$A, move $\editable{}$ units up and $\editable{}$ units to the right.

b

Express the direction of the movement in the previous question as a simplified ratio, comparing vertical movement to horizontal movement. Express the ratio in the form $a:b$a:b.

$\editable{}:\editable{}$:

c

Complete the directions that explain how to move from point $A$A to point $C$C.

From $A$A, move $\editable{}$ units up and $\editable{}$ units to the right.

d

Express the direction of the movement in the previous question as a simplified ratio, comparing vertical movement to horizontal movement. Express the ratio in the form $a:b$a:b.

$\editable{}:\editable{}$:

Easy
2min

Consider the points $A$A, $B$B and $C$C.

Easy
1min

Consider the points $A$A, $B$B and $C$C.

Easy
3min

Consider the points $A$A, $B$B and $C$C.

Easy
3min
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Outcomes

8.EE.6

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx b for a line intercepting the vertical axis at b.

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