Question

Carry drew a triangle with coordinates (-8, 6), (-8, 9) and (-4, 6). She then slide the triangle to coordinates (1,
2), (1,5), and (5,2). How did she make the new triangle?

Answer 1

Transformation involves changing the position of a figure.

Carry made a new triangle by (d) translating the original figure 4 units down, and 9  units right

Let the original triangle be ABC.

So, we have:

$A = (-8,6)$

$B = (-8,9)$

$C = (-4,6)$

$A' = (1,2)$

$B' = (1,5)$

$C' = (5,2)$

From the question, we understand that she slide the original triangle to create a new one.

This means that; she translated the triangle

Using coordinates of A and A', we have:

$A = (-8,6)$

$A' = (1,2)$

The x-coordinates moved from -8 to 1

This means that, the triangle was translated right.

The number of units is calculated as:

$n = |-8 - 1|$

$n = |- 9|$

Remove absolute brackets

$n =9$

The triangle was translated 9 units right

The y-coordinates moved from 6 to 2

This means that, the triangle was translated down

The number of units is calculated as:

$n = |2 - 6|$

$n = |- 4|$

Remove absolute brackets

$n = 4$

The triangle was translated 4 units down

Hence, she made a new triangle by (d) translating the original figure 4 units down, and 9  units right

See attachment for the transformation

Read more about transformation at:

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