Question

mg-congruence and similarities escape room
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1. kylie draws a triangle on a coordinate grid. she then performs the following transformations in the order below: - a translation of 3 units to the left - a dilation by a factor or 3 - a reflection across the x - axis - a rotation of 180 degrees

she claims the resulting triangle is congruent to the original triangle.
which of kylies four transformations should she not have done in order for her claim to be correct?
a translation of 3 units to the left
a dilation by a factor of 3
a reflection across the x - axis
a rotation of 180 degrees

Explanation:

Step1: Recall congruence - transformation rules

Congruent figures have the same shape and size. Transformations like translations, reflections, and rotations (rigid - motions) preserve congruence. Dilations change the size of a figure.

Step2: Analyze each transformation

• A translation of 3 units to the left is a rigid - motion. It just moves the triangle and does not change its size or shape.
• A dilation by a factor of 3 changes the size of the triangle. If the scale factor is not 1, the resulting figure is similar but not congruent to the original.
• A reflection across the x - axis is a rigid - motion. It flips the triangle over the x - axis but does not change its size or shape.
• A rotation of 180 degrees is a rigid - motion. It turns the triangle around a point but does not change its size or shape.

Answer:

B. a dilation by a factor of 3