Question

Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?

Shape 1 is congruent to shape 2, which can be shown using a sequence of dilations and translations.

Shape 1 is not congruent to shape 2 because the shapes do not have the same absolute coordinates.

Shape 1 is congruent to shape 2, which can be shown using a translation.

Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 onto shape 2."

Answer 1

As, you can see that shape 1 and shape 2 are not congruent nor the shape 1 is dilated by any factor to get the shape 2.

Both the shapes are concave polygon.

The base length of two shapes are equal .

→2 × AB = P Q →(approx)

→BC=QR

→2 × CD= RS→→→(approx)

If translation has taken place, all the vertices has been translated by same amount.

So, option (4) is true,which is Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 onto shape 2."

Answer 2

We can see that shape 2 has longer "stick" sorta say. we can see that stick on shape 1 is 2 units high (from 4 to 6) while stick on shape 2 is nearly 4 units high.

The "bulb" part of both shapes are congruent but because of their extensions they arent. Shapes dont have to be in same spot to be congruent. which is why second option isn't correct

Answer is last option