Question

Triangle X Y Z is translated up 2 and right 3 units to form triangle C A B. Triangle XYZ was translated up 2 and right 3 units, creating triangle CAB. Which relationship between the parts of the two triangles must be true? ∠X ≅ ∠A ZX ≅ CA YZ ≅ AB ∠Z ≅ ∠C

Answer 1

C

Explanation:

Answer 2

YZ ≅ AB

Explanation:

A translation is a correspondence between two mathematical figures, for instance, the coordinates of each point in a straight line of one figure that is added to the coordinates of the corresponding point on the other figure.

But here, we are given a Δ XYZ which is translated to ΔCAB. This tells us more about how the corresponding points preserve their congruence nature.

i.e.

X corresponds to C

Y corresponds to A

Z corresponds to B

Similarly;

XY corresponds to CA

YZ corresponds to AB

XZ corresponds to CB

Since both triangles preserve their congruence nature, then all corresponding points are congruent as well.

Therefore, from the choice of options given, only YZ corresponds to AB is the right answer.

i.e.

YZ ≅ AB