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1 year ago

Find the coordinates of the vertices of each figure after a reflection over the given axis.

1 answer:

4 0

The coordinates of the vertices after the reflection over the x-axis are A' (2, -3) B' (4, 5) and C' (-1, -2)

Given,

A triangle ABC with vertices A(2,3) , B(4,-5), and C(-1,2)

To find the coordinates of the vertices of each figure after a reflection over the given axis.

Now, According to the question:

We should know that:

You should know that you can predict changes in coordinates after translations without a graph or anything like that.

(x, y) reflected over the x axis = (x, -y)

(x, y) reflected over the y axis = (-x, y)

(x, y) rotated 90 degrees around the origin = (y, -x)

(x, y) rotated 180 degrees around the origin = (-x, -y)

(x, y) rotated 270 degrees around the origin = (-x, y)

So here's our set of points.

A(2,3) , B(4,-5), and C(-1,2)

Here's those points reflected over the x axis.

A' (2, -3) B' (4, 5) and C' (-1, -2)

Hence, The coordinates of the vertices after the reflection over the x-axis are A' (2, -3) B' (4, 5) and C' (-1, -2)

Learn more about Reflection x - axis at:

brainly.com/question/15175017

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3 years ago

If someone could help me answer this and possibly give me a step-by-step for future reference that'd be great thanks.

andreyandreev [35.5K]

Answer:

Let's look at the Venn diagram and the data we have:

There are 12 pupils

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2 have neither.

Now let's look at the diagram.

We know that the circle B represents the pupils who have a brother

Circle S represents the students that have a sister.

Then the intersection of the circles, represents the number of students that have both.

And the space outside the circles represents the pupils that do not have a brother nor a sister.

Then the first thing we can complete is a 2 in the bottom left corner, because we already know that there are 2 pupils that do not have brothers nor sisters.

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9 have a brother

7 have a sister

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if we add that, we get:

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If X is the number of students that we are counting twice, we should have:

18 - X = 12

18 -12 = X = 6

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We need to write a 3 in that square.

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