I need to explain how to make a triangle using a protractor and a string and the aas congruence theorem. I'm giving no angles. I was thinking draw a line find and angle then draw another line to attach to the first line get another angle and finish off triangle draw the hash marks. for aas but whats the string for I am really confused.

Question

I need to explain how to make a triangle using a protractor and a string and the aas congruence theorem. I'm giving no angles. I was thinking draw a line find and angle then draw another line to attach to the first line get another angle and finish off triangle draw the hash marks. for aas but whats the string for I am really confused.

Answer 1

To create a triangle using a protractor, a string, and the AAS (Angle-Angle-Side) congruence theorem, follow these steps:

Step 1: Start by drawing a line segment using a ruler. This will be one side of the triangle.

Step 2: Place the protractor on the line segment, aligning its baseline with the line segment. Make sure the protractor's edge is facing outward.

Step 3: Use the protractor to measure and mark an angle on the line segment. This angle can be any measurement you choose.

Step 4: Without moving the protractor, draw a line from the vertex of the angle you marked in Step 3 to a point somewhere on the outside of the protractor. This will be the second side of the triangle.

Step 5: Measure and mark a second angle on the line you just drew. Again, this angle can be any measurement you choose.

Step 6: Now, you have two angles and one side of the triangle. To complete the triangle, you need to find the length of the third side. Since the lengths are not provided, we can use a string to determine it.

Step 7: Take the string and place one end on the endpoint of the first line segment you drew. Extend the string along the second line segment until it reaches the endpoint of that line segment. Mark this point on the string.

Step 8: Remove the string and use a ruler to measure the distance between the starting point and the marked point on the string. This will give you the length of the third side.

Step 9: Using a ruler, draw a line segment with the measured length to connect the endpoints of the first two line segments you drew. This completes the triangle.

Step 10: Finally, add hash marks on the sides of the triangle using the ruler to indicate the congruent lengths. AAS congruence requires two angles and the side between them to be congruent to another triangle.

By following these steps, you can create a triangle using a protractor, a string, and the AAS congruence theorem.