Answer:
a.) FI and TO , IX and OP , FX and TP
b.) <FIX and <TOP , <IXF and <OPT , <XFI and <PTO
c.) Yes, because each corresponding side and angle match each other in the written statement.
d.) No, because the corresponding angles and sides are in different orders in the written statement.
Explanation:
To do this problem, it's easier to draw a visual. Draw 2 triangles, and label the sides as the problem states.
a.) Corresponding sides are a pair of matching sides that are located in the same spot on different triangles. Side FI is in the same spot (on the triangle and in the written statement) as TO. IX is in the same spot as OP. FX is in the same spot as TP.
b.) Corresponding angles are the same as corresponding sides, except they're the angles in the triangle. They are a pair of angles that are located in the same spot on different triangles. <FIX is in the same spot (on the triangle and the written statement) as <TOP. <IXF is in the same spot as <OPT. <XFI is in the same spot as <PTO.
c.) To tell whether the statement is true, you have to compare the statement they gave you to the original problem. You have to make sure the matching angles and sides are in the same places in the written statement. Since they are in the same spots, that statement is correct.
d.) This statement is not correct because some of the angles and sides aren't in the same spots in the written statement as they should be. The I should be in the same spot as the O. The F should be in the same spot as the T. The X should be in the same spot as the P.
I really hope this helps.