Create a random triangle, ∆ABC. Record the lengths of two of the sides of the triangle and the measure of the included angle. 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,DE , of 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 ∆ABC that you recorded in part A. Now multiply the ratio you calculated by the length of the other side of ∆ABC that you selected in part A. Record the resulting length. Locate the endpoint on DE that 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 to DE . Make the angle congruent to the angle of

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Answer:

Step-by-step explanation:

Ver imagen middletonk994

Similar shapes are shapes whose lengths are in equivalent ratio. [tex]\triangle ABC[/tex] and [tex]\triangle D E F[/tex] are similar because the side lengths of both triangles are in equivalent ratio (refer to attachment)

Step 1: Draw a random triangle [tex]\triangle ABC[/tex]

The lengths of two sides and an angle are:

[tex]AB=10[/tex]

[tex]BC=6[/tex]

[tex]\angle C = 90^o[/tex]

Step 2: Draw and measure the length of DE

[tex]DE = 15[/tex]

Step3 : Calculate the ratio

The corresponding line segment to DE is line segment AB.

So, the ratio (k) is:

[tex]k = \frac{DE}{AB}[/tex]

[tex]k = \frac{15}{10}[/tex]

[tex]k = 1.5[/tex]

Step 4: Multiply the ratio by the other line segment in step 1

In (1), we have:

[tex]BC=6[/tex]

So:

[tex]EF = k \times BC[/tex]

[tex]EF = 1.5 \times 6[/tex]

[tex]EF = 9[/tex]

Step 4: Draw a circle with center F and radius EF  

The center of the circle is point F and the radius of the circle is 9 units

Step 5: Draw a ray from the center (i.e. point F) to DE

Refer to the attached image for

  • Triangle ABC
  • Triangle DEF
  • Circle with center F and radius 9
  • Ray from F to DE

Read more about angles, triangles and circles at:

https://brainly.com/question/11659907

Ver imagen MrRoyal