Adaptive Perseverance
Communication
Critical Thinking
How are similar triangles connected to the slope of a line?
Students will be able to…
Understand that figures that are scaled copies of one another are similar figures
Identify the center and scale factor used in a dilation
Apply dilations to figures
Describe how scale factors affect the size of an image, its angle measures, and its distance from the center of dilation
Describe and apply dilations to polygons on a grid given the coordinates of the vertices and the center of dilation
Show that two figures are similar
Understand that when two figures are similar, their corresponding angles are congruent and their corresponding side lengths are multiplied by a scale factor
Understand that congruent corresponding angles alone are not sufficient for establishing similarity
Understand AA similarity
Determine missing side lengths in pairs of similar triangles
Show that all slope triangles on one line are similar and have the same slope
Determine the slope of a line in the plane
Explain whether or not a point is on a line
8.G.A - Understand congruence and similarity
8.G.A.3 - Describe the effect of dilations, translations, and reflections on two-dimensional figures using coordinates
8.G.A.4 - Understand that a 2D figure is similar to another if the second can be obtained by a series of rotations, reflections, translations, and dilations of the first
8.G.A.5 - Use informal arguments to establish facts about the angle sum theorem, exterior angles of a triangle, angles formed by parallel lines cut by a transversal, and the angle angle criterion for similar triangles.
8.EE.B.6 - Use similar triangles to explain why slope is the same between any two distinct points on a nonvertical line
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