Question

part b
keep the triangle that you created in part a. you will now copy the triangle to a different location on the grid using three of its sides:

• in a different place on the grid, draw a new line segment that is parallel to and has the same length as (overline{ab}). label this segment (overline{de}).
• next, copy (overline{ac}) and (overline{bc}). a reliable way to do this is to draw a circle centered on each endpoint of your new line segment. make the radius of each circle equal to each of the lengths of the two remaining line segments on the original triangle. one of the intersection points of the two circles marks the third vertex of your new triangle. place a point on the intersection, and label the point f.
• finish copying the triangle by drawing a polygon through the three points that youve established.

you should now have two triangles on the grid. what do you notice about the two triangles in terms of their size and shape?

Explanation:

When we copy a triangle by constructing congruent sides (using the method of drawing circles with radii equal to side - lengths of the original triangle), we are essentially using the Side - Side - Side (SSS) congruence criterion. If two triangles have all three corresponding sides equal in length, they are congruent. Congruent triangles have the same size and shape.

Answer:

The two triangles are congruent, which means they have the same size and shape.