Question

2) The vertices of triangleJKL have coordinates (5,1),K(-2,-3), and L(-4,1). Under whichtransformation is the image J'K'L' notcongruent to triangleJKL?1) a translation of two units to the right and twounits down2) a counterclockwise rotation of 180 degreesaround the origin3) a reflection over the x-axis4) a dilation with a scale factor of 2 and centeredat the origin

Answer 1

Problem

Solution

For this case we analyze one by one the optiosn

J=(5,1) K= (-2,-3) L= (-4,1)

1) A translation two units to the right and 2 down gives to us:

J' = (7,-1) K'= (0, -5) L'=(-2, -1)

But is congruent

2) A counterclockwise rotation 180ª around the origin

The new coordinates are (-x,-y)

J' =(-5,-1) , K'=(2,3), L'=(4,.1)

But is congruent

3) A reflecyion over the x axis

Is congruent since all the sides remain equal

4) A dilation with a scale factor of 2 and centered at the origin

This ons is the correct choice since when we apply a dilation all the sides of the triangle expands