IM 8.2.7 Lesson: Similar Polygons
Choose whether each of the statements is true in all cases, in some cases, or in no cases.
If two figures are congruent, then they are similar.
If two figures are similar, then they are congruent.
If an angle is dilated with the center of dilation at its vertex, the angle measure may change.
Let’s look at a square and a rhombus.
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[/img][br] [br]Priya says, “These polygons are similar because their side lengths are all the same.” Clare says, “These polygons are not similar because the angles are different.” Do you agree with either Priya or Clare? Explain your reasoning.
Now, let’s look at rectangles ABCD and EFGH.
[img]data:image/png;base64,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[/img][br] [br]Jada says, “These rectangles are similar because all of the side lengths differ by 2.” Lin says, “These rectangles are similar. I can dilate [math]AD[/math] and [math]BC[/math] using a scale factor of 2 and [math]AB[/math] and [math]CD[/math] using a scale factor of 1.5 to make the rectangles congruent. Then I can use a translation to line up the rectangles.” Do you agree with either Jada or Lin? Explain your reasoning.
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[/img][br]Points [math]A[/math] through [math]H[/math] are translated to the right to create points [math]A'[/math] through [math]H'[/math]. All of the following are rectangles: [math]GHBA[/math], [math]FCED[/math], [math]KH'C'J[/math], and [math]LJE'A'[/math]. Which is greater, the area of blue rectangle DFCE or the total area of yellow rectangles [math]KH'C'J[/math][color=#0c0300] and [math]LJE'A'[/math]?[/color]
Pair polygons that are similar to one another.
Explain how you know a pair of polygons is similar.
On the left is an equilateral triangle where dashed lines have been added, showing how you can partition an equilateral triangle into smaller similar triangles. Find a way to do this for the figure on the right, partitioning it into smaller figures which
What’s the fewest number of pieces you can use? The most?
IM 8.2.7 Practice: Similar Polygons
Triangle [math]DEF[/math] is a dilation of triangle [math]ABC[/math] with scale factor 2. In triangle [math]ABC[/math], the largest angle measures [math]82^\circ[/math]. What is the largest angle measure in triangle [math]DEF[/math]?
Draw two polygons that are similar but could be mistaken for not being similar.
Explain why the two polygons you drew are similar.
Draw two polygons that are not similar but could be mistaken for being similar.
Explain why the two polygons you drew are [i]not[/i] similar.
These two triangles are similar. Find side lengths a and b. Note: the two figures are not drawn to scale.
Jada claims that B'C'D' is a dilation of BCD using A as the center of dilation.
What are some ways you can convince Jada that her claim is not true? (You can use the applet above to help you)
In the applet below,
Draw a horizontal line segment [math]AB[/math].[br]Rotate segment [math]AB[/math] [math]90^\circ[/math] counterclockwise around point [math]A[/math]. Label any new points.[br]Rotate segment [math]AB[/math] [math]90^\circ[/math] clockwise around point [math]B[/math]. Label any new points.[br]Describe a transformation on segment [math]AB[/math] you could use to finish building a square.