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solong [7]
3 years ago
15

Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in yo

ur explanation.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0
<span>Rigid motion of a plane is a transformation where the original and new image are congruent. In short, it's also known as isometry.

In the case above, ΔDWP is presumed to be congruent to </span><span>ΔMJS. Rigid motions involved here are translation and rotation.

In translation, you are basically sliding/moving the figure. </span>ΔDWP is moved five (5) units down then one (1) unit to the left. Thereby, coinciding point W of ΔDWP and point J of ΔMJS.<span>

Next rigid motion used is rotation. The figure is simply rotated approximately 90 degrees thereby coinciding all points of </span>ΔDWP to ΔMJS<span>.

To check for congruency by just merely looking on the plane, compare the lengths of the sides of the triangles.

side DW = side MJ = 2 units
side WP = side JS = 4 units
side PD = side SM = 5 units

Therefore, we can say that </span>ΔDWP is congruent to ΔMJS.<span>


</span>
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