# B in this step youll attempt to copy your original

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b.In this step, you’ll attempt to copy your original triangle using only two of its sides and the included angle. Follow these steps to construct the triangle:Draw a new line segment, ,DEof any length, and place it anywhere on the coordinate plane, but not on top of ABC.Find and record the ratio of the length of this line segment to one of the corresponding line segments on ABCthat you recorded in part a.Now multiply the ratio you calculated by the length of the other side of ABCthat you selected in part a. Record the resulting length.Locate the endpoint on DEthat corresponds with the vertex of the angle you chose in part a. Using that point as the center, draw a circle with a radius equal to the length you calculated in the previous step.From the center of the circle, draw a ray at an angle toDE. Make the angle congruent to the angle of ABC that you measured in part a.Mark the point of intersection of the ray and the circle, and label it point FComplete ΔDEFby drawing a segment from Fto the free endpoint ofDE. Create a polygon through points D, E, and Paste a screenshot of your results below the measurements you record..F.Type your response here:6
c.Measure all the angles of ∆ABC and ∆DEF,and enter the measurements in the table.Type your response here:AngleMeasureAngleMeasureCAB134EDF154BCA15FED35ABC134DFE154d.Does a relationship exist between the measures of the angles of ∆ABC and ∆DEF? If so, explain how the triangles are related by these measurements. Use information thatyou discovered earlier in these Lesson Activities.Type your response here:There is no relationshipe.Your constructions for ∆ABCand ∆DEFwere unique. Based on the random nature of this activity, what conclusion can you draw about the similarity of two triangles when two side lengths are proportional by the same ratio and the included angle is congruent?Type your response here:4.SSS Criterion for Similar TrianglesThe SSS criterion states that two triangles are similar if all three sides of one triangle are proportional to the corresponding sides of the other triangle. You’ll use GeoGebra to demonstrate this condition. Open GeoGebraagain, and complete each step below.a.Create a random triangle,ABC, and record the lengths of its sides.7
Type your response here:SideLengthAB9BC6.7CA6.7b.In this step, you’ll attempt to copy your original triangle using only its sides. Follow these steps in the construction:Draw a new line segment, ,DEof any length, and place it anywhere on the coordinate plane, but not on top of ∆ABC.Find the ratio of the length of this segment to the length of one of the sides of ABC. Record the ratio.Multiply the ratio you calculated by the lengths of the other two sides of ∆ABCthat you selected in part a. Record the two resulting lengths.Create a circle centered at Dwith a radius equal to one of the lengths you calculated in the previous step. Create a circle centered at Ewith a radius equal to the other length you calculated in the previous step.Mark one of the points of intersection of the two circles, and label it point F. This intersection marks the third point of the copied triangle. Complete ΔDEFby drawing line segments between points D, E, and F. Create a polygon through the three points.