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.
Close

Information: IM 8.2.8 Lesson: Similar Triangles