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

Are the two triangles congruent, similar or neither?

Congruent

Similar

Neither

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

Dilation

Reflection

Rotation

Translation

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

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

Outcomes

II.G.SRT.2

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

8.02 Similarity transformations

Interactive practice questions

Outcomes

II.G.SRT.2

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