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New Zealand
Level 6 - NCEA Level 1

Translations on Cartesian Plane

Interactive practice questions

What is the translation of the trapezium $ABCD$ABCD to the trapezium $A'B'C'D'$ABCD?

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Two trapeziums are plotted on the cartesian plane, $ABCD$ABCD and $A'B'C'D'$ABCD, suggesting $A'B'C'D'$ABCD is a translation of $ABCD$ABCD. For Trapezium $ABCD$ABCD, vertex A is on $\left(4,-5\right)$(4,5), vertex B is on $\left(7,-5\right)$(7,5), vertex C is on $\left(8,-8\right)$(8,8), and vertex D is on $\left(3,-8\right)$(3,8). For Trapezium $A'B'C'D'$ABCD, vertex A' is on $\left(-3,-5\right)$(3,5), vertex B' is on $\left(0,-5\right)$(0,5), vertex C' is on $\left(1,-8\right)$(1,8), and vertex D' is on $\left(-4,-8\right)$(4,8). The coordinates of the vertices are not explicitly given or labeled.

$7$7 units left

A

$7$7 units right

B

$6$6 units right

C

$6$6 units left

D
Easy
< 1min

What translation is required to get from triangle $ABC$ABC to triangle $A'B'C'$ABC?

Easy
< 1min

What is the translation of the polygon $ABCDEFG$ABCDEFG to the polygon $A'B'C'D'E'F'G'$ABCDEFG?

Easy
< 1min

What is the translation of the trapezium $ABCD$ABCD to the trapezium $A'B'C'D'$ABCD?

Easy
< 1min
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Outcomes

GM6-8

Compare and apply single and multiple transformations

GM6-9

Analyse symmetrical patterns by the transformations used to create them

91034

Apply transformation geometry in solving problems

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