Question

A triangular wall decoration on Kelsey’s wall has vertices

M(4, –1), N(3, –4), and R(1, –2). The triangle is translated

5 units left and 4 units up.

What are the coordinates of M' after the translation?

Answer 1

SOLUTION

GIVEN

• A triangular wall decoration on Kelsey’s wall has vertices M(4, –1), N(3, –4), and R(1, –2)

• The triangle is translated 5 units left and 4 units up

TO DETERMINE

The coordinates of M' after the translation

CONCEPT TO BE IMPLEMENTED

Let the coordinates of a point is (x, y) and the origin is translated to the point (h, k)

Also let the coordinates of the same point in the new coordinate system is (x', y') then

x = x' + h and y = y' + k

EVALUATION

Here it is given that a triangular wall decoration on Kelsey’s wall has vertices

M(4, –1), N(3, –4), and R(1, –2)

The triangle is translated 5 units left and 4 units up

So the triangle is translated to (-5,4)

Hence the required coordinates of the point M'

= ( 4 + 5 , - 1 - 4 )

= ( 9 , - 5 )

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