Question

Can someone help me with this at all? I have no idea what I am even supposed to do D:

Tara has a pair of wall hangings in the shape of congruent triangles.
The measure of angle ABC is equal to the measure of angle DEF.
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0300_Subtest_02_08/image0044e1c90e8.jpg
What is the value of x?
a. 4
b. 5
c. 6
d. 7
:q save me

Answer 1

we can't open the link.

Answer 2

ew really?

Answer 3

I'll do my best to draw it out then.

Answer 4

In triangles ABC and DEF,
AB=DE
angle ABC=angle DEF
BC=EF
therefore, triangle ABC is congruent to triangle DEF by Side-Angle-Side criteria.

therefore, CA=FD ------------> congruent parts of congruent triangles
2x-3=x+1
2x-x=1+3
x=4

Answer 5

omg thank you so much!
And then I can just check it by plugging 4 into x right?