Two $triangle$triangle are placed on a Coordinate Plane, where the x- and y- axes are labeled and range from -10 to 10. These $triangle$triangle, $ABC$ABC and $A'B'C'$A′B′C′, have the same shape and size but are situated differently. The coordinates of the vertices are not explicitly given. The vertices of $triangle$triangle $ABC$ABC are located at A $\left(-2,3\right)$(−2,3), B $\left(2,1\right)$(2,1), C $\left(4,-4\right)$(4,−4), and D $\left(4,-4\right)$(4,−4). Similarly, the vertices of $triangle$triangle $A'B'C'$A′B′C′ are positioned at A' $\left(1,5\right)$(1,5), B' $\left(5,3\right)$(5,3), C' $\left(7,-2\right)$(7,−2), and D' $\left(7,-2\right)$(7,−2).

Which term best describes the relationship between the two $triangle$ s ?

Congruent

Similar

Neither

What single transformation can take $triangle$ $ABC$ABC to $triangle$ $A'B'C'$A′B′C′?

Reflection

Rotation

Translation

Dilation

Identify the transformation from $triangle$ $ABC$ABC to $triangle$ $A'B'C'$A′B′C′.

A translation $2$2 units $left$ and $3$3 units $down$ .

A translation $3$3 units $left$ and $2$2 units $down$ .

A translation $2$2 units $right$ and $3$3 units $up$ .

A translation $3$3 units $right$ and $2$2 units $up$ .

Easy

1min

Consider the figures shown.

Easy

< 1min

$\Delta(FGH)$Δ(FGH) and $\Delta(F''G''H'')$Δ(F′′G′′H′′) are shown on the coordinate plane below.

Easy

< 1min

Consider the transformation from $\left(x,y\right)$(x,y) to $\left(x-3,y-8\right)$(x−3,y−8).

Easy

< 1min

Outcomes

G.CO.A.2

Represent transformations in the plane, and describe them as functions that take points in the plane as inputs and give other points as outputs.

G.CO.A.3

Describe the rotational symmetry and lines of symmetry of two-dimensional figures.

G.CO.B.6

Develop the definition of congruence in terms of rigid motions.

G.SRT.A.1

Construct and analyze scale changes of geometric figures.

G.SRT.A.2

Use the definition of similarity to decide if figures are similar and to solve problems involving similar figures.

4.05 Transformations, congruence, and similarity

Interactive practice questions

Outcomes

G.CO.A.2

G.CO.A.3

G.CO.B.6

G.SRT.A.1

G.SRT.A.2

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