IM Geo.3.7 Lesson: Reasoning about Similarity with Transformations
What do you notice? What do you wonder?
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[/img]
Sketch 2 triangles with all pairs of corresponding angles congruent, and with all pairs of corresponding side lengths in the same proportion.
Label your triangles [math]ABC[/math] and [math]DEF[/math] so that angle [math]A[/math] is congruent to angle [math]D[/math], angle [math]B[/math] is congruent to angle [math]E[/math], and angle [math]C[/math] is congruent to angle [math]F[/math]. Label each side with its length.[br][br]Do the 2 triangles you drew fit the definition of similar? Explain your reasoning.[br]
Switch sketches with your partner. Find a sequence of rigid motions and dilations that will take one of their triangles onto the other. Will the same sequence work for your triangles?[br]
How many sequences are there that take one similar triangle to the other? Explain or show your reasoning.
Player 1: You are the transformer. Take the transformer card.[br][br]Player 2: Select a triangle card. Do not show it to anyone. Study the diagram to figure out which sides and which angles correspond. Tell Player 1 what you have figured out.[br][br]Player 1: Take notes about what they tell you so that you know which parts of their triangles correspond. Think of a sequence of rigid motions and dilations you could tell your partner to get them to take one of their triangles onto the other. Be specific in your language. The notes on your card can help with this.[br][br]Player 2: Listen to the instructions from the transformer. Use tracing paper to follow their instructions. Draw the image after each step. Let them know when they have lined up 1, 2, or all 3 pairs of vertices on your triangles.
IM Geo.3.7 Practice: Reasoning about Similarity with Transformations
Sketch a figure that is similar to this figure. Label side and angle measures.
[img]data:image/png;base64,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[/img]
Write 2 different sequences of transformations that would show that triangles ABC and AED are similar.
The length of [math]AC[/math] is 6 units. 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[/img]
What is the definition of similarity?
[size=150]Parallelogram [math]P[/math][/size][br][img]data:image/png;base64,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[/img][br][br]Select [b]all [/b]figures which are similar to Parallelogram [math]P[/math].
Find a sequence of rigid transformations and dilations that takes square ABCD to square EFGH.
[img]data:image/png;base64,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[/img]
Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC.
What is the perimeter of triangle [math]ABC[/math]?
Select the quadrilateral for which the diagonal is a line of symmetry.
Triangles FAD and DCE are each translations of triangle ABC
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[/img][br][br]Explain why angle [math]CAD[/math] has the same measure as angle [math]ACB[/math].