IM 8.2.8 Lesson: Similar Triangles
Create three different expressions that are each equal to 20. Each expression should include only these three numbers: 4, -2, and 10.
First expression:
Second expression:
Third expression:
Create a triangle using three 'pieces of pasta' and angle A. Your triangle must include the angle you were given, but you are otherwise free to make any triangle you like.
After you have created your triangle...
[color=#333333]Measure the angles to the nearest 5 degrees using a protractor and record these measurements.[/color]
[color=#333333]Find two others in the room [/color]who have the same angle [math]A[/math] and compare your triangles. What is the same? What is different? Are the triangles congruent? Similar?
How did you decide if they were or were not congruent or similar?
Now use more 'pasta' and angles A,B, and C to create another triangle.
After you have created your triangle...
Measure the angles to the nearest 5 degrees using a protractor and record these measurements.
Find two others in the room who have the same angle [math]A[/math] and compare your triangles. What is the same? What is different? Are the triangles congruent? Similar?
How did you decide if they were or were not congruent or similar?
Here is triangle PQR. Break a new piece of 'pasta', different in length than segment PQ. Move point S to create this new segment.
Now follow these steps using the applet above:
Create another piece of pasta by checking 'piece 2' with one end at [math]S[/math], and make an angle congruent to [math]\angle PQR[/math].[br][br]Create another piece of pasta by checking 'piece 3' on top of line [math]PR[/math] with one end of the pasta at [math]P[/math]. Call the point where the two full pieces of pasta meet [math]T[/math].[br][br]Is your new pasta triangle [math]PST[/math] similar to [math]\triangle PQR[/math]? Explain your reasoning.
If your broken piece of pasta were a different length, would the pasta triangle still be similar to [math]\triangle PQR[/math]? Explain your reasoning.
Quadrilaterals ABCD and EFGH have four angles.
The angles measure [math]240^\circ,40^\circ,40^\circ,[/math] and [math]40^\circ[/math]. Do [math]ABCD[/math] and [math]EFGH[/math] have to be similar?[br]
This diagram has several triangles that are similar to triangle DJI.
[img]data:image/png;base64,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[/img][br] [br]Three different scale factors were used to make triangles similar to [math]DJI[/math]. In the diagram, find at least one triangle of each size that is similar to [math]DJI[/math].
Explain how you know each of these three triangles is similar to [math]DJI[/math].
[img]data:image/png;base64,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[/img][br]Find a triangle in the diagram that is not similar to [math]DJI[/math].
Figure out how to draw some more lines in the pentagon diagram to make more triangles similar to DJI.
IM 8.2.8 Practice: Similar Triangles
In each pair, some of the angles of two triangles in degrees are given. Use the information to decide if the triangles are similar or not. Explain how you know.
Triangle A: 53, 71, ___; Triangle B: 53, 71, ___
Triangle C: 90, 37, ___; Triangle D: 90, 53, ___
Triangle E: 63, 45, ____; Triangle F: 14, 71, ____
Triangle G: 121, ___, ___; Triangle H: 70, ___, ___
Use the following applet to answer the questions below.
Draw two equilateral triangles that are not congruent. [br][br]Measure the side lengths and angles of your triangles. Are the two triangles similar?
Do you think two equilateral triangles will be similar [i]always[/i], [i]sometimes[/i], or [i]never[/i]? Explain your reasoning.
In the figure, line BC is parallel to line DE.
[img]data:image/png;base64,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[/img][br] [br]Explain why [math]\triangle ABC[/math] is similar to [math]\triangle ADE[/math].
The quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.
[img]data:image/png;base64,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[/img][br] [br]Which of the following is true?
Describe a sequence of transformations for which Quadrilateral P is the image of Quadrilateral Q.
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[/img]