Determine if the two figures are congruent and explain your answer.

Question

hellokitty17 · Answer

@TorilovesVampires @freckles @Hulk_Smash @undeadknight26 @Michele_Laino @sebaxtiangb @zepdrix

sebaxtiangb · Answer

they are congruent if and only if they have the same length or/and size

hellokitty17 · Answer

@undeadknight26 did you get full points?!

hellokitty17 · Answer

they are not congruent correct?!

sebaxtiangb · Answer

use the distance formula

hellokitty17 · Answer

could you briefly explain why they are not congruent

mathstudent55 · Answer

They are congruent because all sides of one polygon are congruent to all corresponding sides of the other polygons, and all angles of one polygon are congruent to all corresponding angles of the other polygon.

sebaxtiangb · Answer

$$\sqrt{(x1 - x2)ˆ2+(x3-x4)ˆ2}$$

hellokitty17 · Answer

@mathstudent55 is that the answer?!

sebaxtiangb · Answer

yes

sebaxtiangb · Answer

it is

hellokitty17 · Answer

thank you everyone!!! medal all!!

mathstudent55 · Answer

Imagine lifting up polygon EFGH and placing placing point H on top of point D.
Then rotate polygon EFGH counterclockwise about point H until side HE overlaps side DC. Then you will have all sides of the polygons exactly on top of each other. The polygons are congruent.

hellokitty17 · Answer

medal each other for the great teamwork!!!