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crimeas [40]
3 years ago
13

The vertices of a triangle are A(4,5), B(7,1), and (9,6). After reflecting over the line x = 5, what are the new coordinates?

Mathematics
2 answers:
Alex3 years ago
6 0

the answers are A' (6,5) B' (3,1) and C' (1,6)

Whitepunk [10]3 years ago
4 0

Answer:

A'(6,5),  B'(3,1) and C'(1,6)

Step-by-step explanation:

The reflection of a given point over the line x = 5 doesn't change its y- coordinate.

The distance from the original point to the line must be the same as from the reflected point to the line, then:

distance from A(4,5) to x = 5 is 5-4 = 1, then the x-coordinate of A' is 5+1 = 6

distance from B(7,1) to x = 5 is 7-5 = 2, then the x-coordinate of B' is 5-2 = 3

distance from C(9,6) to x = 5 is 9-5 = 4, then the x-coordinate of C' is 5-4 = 1

Therefore, the reflected points are: A'(6,5),  B'(3,1) and C'(1,6)

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Answer:

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Step-by-step explanation:

There are a couple of interesting relations regarding chords and secants and tangents of a circle. With the right point of view, they can be viewed as variations of the same relation, possibly making them easier to remember.

When chords cross inside a circle (as here), each divides the other into two parts. The product of the lengths of the two parts of one chord is the same as the product of the lengths of the two parts of the other chord.

Here, that means ...

  7x = 10·15

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<em>Additional comment</em>

A secant is a line that intersects a circle in two places. (A tangent is a special case of secant where the two points of intersection are the same point.) When two secants meet outside the circle, there is a special relation between the lengths of the various line segments.

Consider the line segment from the point where the secants meet each other to the far intersection point with the circle. The product of that length and the length to the near intersection point with the circle is the same for both secants.

Here's the viewpoint that merges these two relations:

<em>The product of the lengths from the point of intersection of the lines with each other to the two points of intersection with the circle is the same for each line</em>.

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6 0
3 years ago
Read 2 more answers
What is the slope line through (-9,-6) and (3,-9)?
chubhunter [2.5K]

Answer:

-1/4

Step-by-step explanation:

We can find the slope of the line given two points

m = (y2-y1)/(x2-x1)

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8 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 0
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prisoha [69]
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mestny [16]

Answer:

4.5 minutes

Step-by-step explanation:

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3 years ago
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