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Stage 1 - Stage 3

Transformations and Similarity

Interactive practice questions

Consider the figures shown.

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Two triangles are depicted on a Cartesian coordinate plane with x and y-axes ranging from -10 to 10. The larger triangle, labeled with vertices A' $\left(-6,-2\right)$(6,2), B' $\left(2,6\right)$(2,6), and C' $\left(6,-6\right)$(6,6), is shaded in light gray. The smaller triangle, labeled with vertices A $\left(-3,-1\right)$(3,1), B $\left(1,3\right)$(1,3), and C $\left(3,-3\right)$(3,3), is shaded in dark gray and positioned inside the larger triangle.  Although they share the same shape, the triangles differ in size
a

Are the two triangles congruent, similar or neither?

Congruent

A

Similar

B

Neither

C
b

What is the transformation from triangle $ABC$ABC to triangle $A'B'C'$ABC?

Dilation

A

Reflection

B

Rotation

C

Translation

D
c

What is the scale factor of the dilation from triangle $ABC$ABC to triangle $A'B'C'$ABC?

Easy
1min

Consider the figures shown.

Easy
< 1min

Consider the triangle with vertices at $A$A$\left(-3,-2\right)$(3,2), $B$B$\left(2,1\right)$(2,1) and $C$C$\left(3,-3\right)$(3,3), and the triangle with vertices at $A'$A$\left(-9,-6\right)$(9,6), $B'$B$\left(6,3\right)$(6,3) and $C'$C$\left(9,-9\right)$(9,9).

Easy
< 1min

Consider the quadrilateral with vertices at $A$A$\left(-3,-3\right)$(3,3), $B$B$\left(-3,3\right)$(3,3), $C$C$\left(3,3\right)$(3,3) and $D$D$\left(3,-3\right)$(3,3), and the quadrilateral with vertices at $A'$A$\left(-9,-9\right)$(9,9), $B'$B$\left(-9,9\right)$(9,9), $C'$C$\left(9,9\right)$(9,9) and $D'$D$\left(9,-9\right)$(9,9).

Easy
< 1min
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