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NAME DATE PERIOD Lesson 6 Skills Practice Slope and Similar Triangles Graph each pair of similar triangles. Then write a proportion comparing the rise to the run for each of the similar slope triangles and find the numeric value. CDE with vertices C -6 -3 D -3 -2 and E -3 -3 MNO with vertices M 0 -1 N 6 1 and O 6 -1 RST with vertices R -4 5 S -4 -4 and T 2 -4 UVW with vertices U -2 2 V -2 -1 and W 0 -1 y x and M 0 3 CEN with vertices at C -1 6 E -1 -3 and N 2 -3 Course 3 Chapter 7 Congruence and Similarity Copyright The McGraw-Hill Companies Inc* Permission is granted to reproduce for classroom use. Then write a proportion comparing the rise to the run for each of the similar slope triangles and find the numeric value. CDE with vertices C -6 -3 D -3 -2 and E -3 -3 MNO with vertices M 0 -1 N 6 1 and O 6 -1 RST with vertices R -4 5 S -4 -4 and T 2 -4 UVW with vertices U -2 2 V -2 -1 and W 0 -1 y x and M 0 3 CEN with vertices at C -1 6 E -1 -3 and N 2 -3 Course 3 Chapter 7 Congruence and ....

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  1. Click ‘Get Form’ button to obtain the document and open it in the editing interface.
  2. Begin by entering your name in the designated field at the top of the form. This helps to identify your work clearly.
  3. Next, input the date in the field provided. Make sure to use the correct format, such as month/day/year.
  4. In the period section, specify your class period or session by writing the appropriate number.
  5. Proceed to the first question, where you will graph the pair of similar triangles provided. Utilize graphing tools to accurately represent the vertices listed.
  6. After completing the graph, calculate the proportion comparing the rise to the run for each pair of triangles. Record your calculations neatly in the space provided.
  7. Repeat the graphing and calculation process for questions two through four, ensuring that each response is complete and checked for accuracy.
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0:35 4:16 Using Similar Triangles to Explain Slope (8.EE.6) - YouTube YouTube Start of suggested clip End of suggested clip So use this first triangle to find the slope of the line. So we know that this height is 1 2 3 4 4MoreSo use this first triangle to find the slope of the line. So we know that this height is 1 2 3 4 4 units and the base is 6 units. So the ratio of the height. To the base is 4 over 6.

0:17 4:16 Using Similar Triangles to Explain Slope (8.EE.6) - YouTube YouTube Start of suggested clip End of suggested clip So use this first triangle to find the slope of the line. So we know that this height is 1 2 3 4 4MoreSo use this first triangle to find the slope of the line. So we know that this height is 1 2 3 4 4 units and the base is 6 units. So the ratio of the height. To the base is 4 over 6.

Because the two triangles are similar, their hypotenuses will always have the same slope. It is common to see one triangle nested inside of another similar triangle. In this situation, the two triangles share one of the angles.

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar. Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.

The hypotenuse of the triangle (the diagonal) is the line you are interested in finding the slope of. The two 'legs' of the triangle are the 'rise' and 'run' used in the slope formula. Slope = rise/run.

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