Given the mtw~ cab, which segments are corresponding parts of the congruent triangles?

last choice!

step-by-step explanation:

the cool thing is that when people write congruence statements they do it order of corresponding parts.

for example, the first "letter" of each side of that congruence symbol are congruent.   that is angle m is congruent to angle c.

another example, the second "letter" of each side of that congruence symbol are congruent. that is angle t is congruent to angle a.

another example, the third "letter" of each of that congruence symbol are congruent. that is angle w is congruent to angle d.

you can do the same thing for line segments of the shape. the order matters!

so mt is congruent to ca,

tw is congruent to ad, and

wm is congruent to cd.

so which of your statements is true?

tw congruent to cd? nope, t and c are not in the same location on both sides.

mw congruent to ad? nope, m and a don't have the same location on both sides.

mt congruent to ca? yep!

the answer is b

so, converting firstly the mixed fractions to improper fractions and then "adding".