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, 2014

Algebra Difficulty 1.5 Junior Find the answer Canada

The diagram shows Lori’s house located at $(6,3)$ .

If Alex’s house is located at $(-2,-4)$ , what translation is needed to get from Lori’s house to Alex’s house?

$\text{4 units left, 1 unit up}$
$\text{8 units right, 7 units up}$
$\text{4 units left, 1 unit down}$
$\text{8 units left, 7 units down}$
$\text{7 units right, 8 units down}$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

The horizontal translation needed to get from Lori’s house to Alex’s house is the difference between the $x$ -coordinate of Lori’s house, 6, and the $x$ -coordinate of Alex’s house, $-2$ , or $6-(-2)=6+2=8$ .
The vertical translation needed to get from Lori’s house to Alex’s house is the difference between the $y$ -coordinate of Lori’s house, 3, and the $y$ -coordinate of Alex’s house, $-4$ , or $3-(-4)=3+4=7$ .

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From Lori’s house, Alex’s house is left and down.
Therefore the translation needed to get from Lori’s house to Alex’s house is 8 units left and 7 units down.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.