We wish to determine if the pair of triangles on the coordinate plane below are congruent.
What translations move the point $X$X to the point $B$B?
Translate $\editable{}$ units left and $\editable{}$ units down.
Apply the translation from part (a) to the other two points of the triangle $\triangle YXZ$△YXZ.
Which two options represent the results?
$Z$Z translates to C
$Y$Y translates to A
$Z$Z translates to A
$Y$Y translates to C
$Z$Z does not translate to any vertex of $\triangle ABC$△ABC.
$Y$Y does not translate to any vertex of $\triangle ABC$△ABC.
Are $\triangle ABC$△ABC and $\triangle YXZ$△YXZ congruent?
Yes
No
We wish to determine if the pair of triangles on the coordinate plane below are congruent.
In the diagram below, $X$X is a translation of $C$C, and $Y$Y is a translation of $A$A.
Move the point $Z$Z so that the resulting triangle $\triangle YZX$△YZX is congruent to $\triangle ABC$△ABC.
Consider the two triangles drawn in the diagram below.
Are the triangles $\triangle YBC$△YBC and $\triangle YXZ$△YXZ congruent?