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lions [1.4K]
4 years ago
8

The point (0, 5) lies on circle A with the center at the origin. Does the point (0, −5 ) lie on the circle? A. Yes, because both

points are equidistant from the center of the circle. B. Yes, because the distance between the two points is half the distance from the center to one of the points. C. No, because both points are not equidistant from the center of the circle. D. No, because the distance between the two points is twice the distance from the center to one of the points.
Mathematics
1 answer:
mars1129 [50]4 years ago
3 0
<h3>Answer:</h3>

A. Yes, because both points are equidistant from the center of the circle.

<h3>Step-by-step explanation:</h3>

The point (0, 5) is 5 units from the point (0, 0).

The point (0, -5) is 5 units from the point (0, 0).

The given points are equidistant from the circle center at (0, 0), so both will lie on the circle—along with any other points that are 5 units from (0, 0).

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Part A: A pair of similar triangles is triangle DEF and triangle GFD.

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<em><u>Recall:</u></em>

  • Based on the Angle-Angle Similarity Theorem (AA) two triangles that have two pairs of congruent triangles can be proven to be similar to each other.
  • In a right triangle where the altitude intersects the hypotenuse, the Leg Rule applies, which is: Hypotenuse/Leg = Leg/Part

The Figure of the given triangle DEF is shown in the attachment below.

<em><u>Part A: A Pair of Similar Triangles</u></em>

A pair of similar triangles are traingle DEF and triangle GDF

<em><u>Part B: Reason for Similarity</u></em>

Triangle DEF and GDF have two pairs of congruent angles, ∠EDF ≅∠DGF and ∠EFD ≅∠GFD.

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Given the following,

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Thus:

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Learn more about AA Similarity Theorem on:

brainly.com/question/24147586

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