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2 years ago

Please answer this question

Mathematics

1 answer:

USPshnik [31]2 years ago

4 0

Answer:

C - The relationship represents a function because each input gives one unique output.

Step-by-step explanation:

To see if it is a function we can do the line test where we have a vertical line and "drag" it along the line. As long as it only hits the line once in every situation it is a function! We can see this passes and therefore the answer is c.

(why is it not d? you can have a non-linear line, but still have a function)

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A transformation that does not change the size or shape of a geometric object is known as which of the following?

UNO [17]

Answer:

Step-by-step explanation:

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3 years ago

in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE

maksim [4K]

The given triangles ΔDOA and ΔABC are right triangles that have a

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Reasons:

The given parameters are;

The diameter of the circle with center O = AB

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Required:

Prove that ∠AEC = ∠ODA

A two column proof is presented as follows;

Statement ${}$ Reason

1. AB is the diameter of circle ${}$ 1. Given

2. DO is perpendicular to AB ${}$ 2. Given

3. ∠DOA = 90° ${}$ 3. Definition of DO ⊥ AB

4. ∠BCA = 90° ${}$ 4. Thales theorem

5. ∠BCA ≅ ∠BCA ${}$ 5. Reflexive property

6. ΔDOA ~ ΔABC ${}$ 6. AA similarity postulate

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8. ∠ABC = ∠ODA ${}$ 8. Definition of congruency

9. ∠AEC ≅ ∠ABC ${}$ 9. Angles in the same segment

10. ∠AEC = ∠ABC   ${}$ 10. Definition of congruency

11. ∠AEC = ∠ODA ${}$ 11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

postulate, therefore, the three angles of ΔDOA are congruent to the three

angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

are Congruent, CASTC.

Learn more about circle theorem here:

brainly.com/question/16879446

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