Answer:
T, T, F, F, T, T, T
Step-by-step explanation:
You want to know if various descriptions of the given figure are true.
a. CA ≅ FA
True. They are marked congruent by the hash marks on the diagram.
b. C, A, F are collinear
True. Line CF is shown as going through point A
c. ∠CAD≅∠EAF
False. ∠EAF is congruent to ∠CAB (vertical angles), and ∠CAB is complementary to ∠CAD. There are no markings to indicate these complementary angles are congruent.
d. BA≅AE
False. There are no markings to indicate these segments are congruent.
e. CF, BE, AD intersect at point A
True. Point A is shown as being on all of these lines and segments.
f. ∠BAC and ∠CAD are complementary
True. Ray AC splits right angle BAD, so these angles have a sum of 90°.
g. ∠DAE is a right angle
True. Whenever a segment (AD) meets a line (BE) at right angles, both angles formed are right angles.
