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What are the resulting coordinates of triangle A′B′C′ after reflecting triangle ABC across the origin if the vertices of triangle ABC are A(2, 6), B(–4,–7), and C(5, –4)?
Question 8 options:

A)

A′(2, –6), B′(–4,7), C′(5, 4)

B)

A′(6, 2), B′(–7,–4), C′(–4, –5)

C)

A′(–2, –6), B′(4,7), C′(–5, 4)

D)

A′(–2, 6), B′(4,–7), C′(–5, –4)

Answer :

Answer:

C

Step-by-step explanation:

When reflecting across the origin, negetives become positives and positives become negetives.

Hope that helps!

The coordinates of the new triangle after reflecting triangle ABC across the origin will be - A' (-2, -6), B'(4, 7) and C'(-5, -4).

We have a triangle ABC with coordinates A (2, 6), B(-4, -7) and C(5, -4)

We have to find the coordinates of the resulting triangle if the triangle ABC is reflected across the origin.

A point P(x, y) is reflected across the origin O(0, 0). What will be its new coordinates?

A point P (x, y) when reflected across the origin, its new coordinates become - P'( -x, -y).

In the question given to us, we have a triangle with coordinates A (2, 6), B(-4, -7) and C(5, 4).

When this triangle is reflected across the origin, then the new coordinates will be -

A (2, 6) → A' (-2, -6)

B (-4, -7) → B' (4, 7)

C (5, -4) → C' (-5, 4)

Hence, the coordinates of the new triangle after reflecting triangle ABC across the origin will be - A' (-2, -6), B'(4, 7) and C'(-5, -4).

To solve more questions on Reflection of Points, visit the link below -

https://brainly.com/question/938117

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