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NO LINKS!!

Tell whether you can conclude that each is true based on the figure. Explain your reasoning. ​

NO LINKS!! Tell whether you can conclude that each is true based on the figure. Explain-example-1
User Dan Barron
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1 Answer

28 votes
28 votes

Answer:

T, T, F, F, T, T, T

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.

User Katsharp
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