Question

Is there a series of rigid transformations that could map A
KLP to AQNM? If so, which transformations?
No, AKLP and A QNM are congruent but A KLP cannot
be mapped to A QNM using a series rigid
transformations
No, AKLP and A QNM are not congruent.
Yes, A KLP can be reflected across the line containing
KP and then translated so that Pis mapped to M.
Yes, AKLP can be rotated about P and then translated
so that Lis mapped to N.

Answer 1

Answer:

Yes, A KLP can be reflected across the line containing KP and then translated so that Pis mapped to M.

Step-by-step explanation:

The figure shows two congruent by HA theorem (they have congruent hypotenuses and a pair of congruent angles adjacent to the hypotenuses) triangles KLP and QNM.

A rigid transformation is a transformation which preserves lengths. Reflection, rotation and translation are rigit transformations.

If you reflect triangle KLP across the leg KP and translate it up so that point P coincides with point M , then the image of triangle KLP after these transformations will be triangle QNM.

Answer 2

Triangle KLP can be reflected across the line containing KP and then translated so that P is mapped to M

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

Triangle KLP can be reflected across the line containing KP and then translated so that P is mapped to M

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