Answer:
ΔABC≅ΔDEF by SSS Postulate
Step-by-step explanation:
Hi there!
We are given 2 triangles
And we want to prove them congruent
You may notice that AC and FD have the same tick markings, AB and ED have the same tick markings, and CB and FE have the same tick markings
This means that those sides are congruent
In other words,
AC≅FD
AB≅DE
CB≅FE
If we have 3 pairs of congruent sides, that is enough for one concurrency postulate called side-side-side (SSS), which states that if 3 sides of a triangle are congruent to 3 sides in another triangle, then those triangles are congruent
So the triangles are congruent, but we need to put their vertices in the correct order
So if we make the name of the first triangle ABC, then we need to find the corresponding vertices in the second triangle
So let's find those vertices
D is corresponding to A, as they are both in between line segments that have 1 and 2 tick markings on them
E is corresponding to B, as they are both between line segments that have 2 and 3 tick markings on them
And finally, F is corresponding to C, as they are both between line segments that have 1 and 3 tick markings on them
So the name of the second triangle is DEF
ΔABC≅ΔDEF by SSS Posulate
Hope this helps!
