Understanding congruency

 $\Delta JKL$  will undergo a transformation to create  $\Delta J'K'L'$  in the xy coordinate plane. Which transformations will result in  $\Delta JKL\cong\Delta J'K'L'$ ?  Select all that apply.

•  $\left(x,\ y\right)\rightarrow\ \left(-x,\ -y\right)$  

•  $\left(x,\ y\right)\rightarrow\ \left(-x,\ y\right)$  

•  $\left(x,\ y\right)\rightarrow\ \left(x,\ y-5\right)$  

•  $\left(x,\ y\right)\ \rightarrow\left(x+3,\ \ y-5\right)$  

•  $\left(x,\ y\right)\rightarrow\ \left(2x,\ 3y\right)$  

The following is a

• rotation

• reflection

• translation

• dilation

23.) What single transformation was applied to triangle A to get to triangle B?

• A. Translation

• B. Reflection

• C. Rotation

• D. Dilation

Coordinates A(8,6), B(2,-5), and C( -5,1) are connected to form ⧍ABC. If ⧍CDA is congruent to ⧍ABC, what are the coordinates of D?

• (1,12)

• (2,-1)

• (1,8)

• (2,7)

Determine if the two figures are congruent by using transformation. If so, what kind of transformation?

• congruent; a counterclockwise rotation of 90 degrees followed by a translation

• congruent; reflection

• congruent; translation

• not congruent

Which statement about figure 1 and 2 must be true?

• A series of transformations will transform 1 to 2, and the figures will be congruent.

• A 180º clockwise rotation will transform 1 to 2, and the figures will be congruent.

• A series of transformations will transform 1 to 2, but the figures will not be congruent.

• A 90º clockwise rotation will transform 1 to 2,

  but the figures will not be congruent.

Which conclusions can be made? Select all that apply!

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• 
• 
• 
• 

True/False: a single rotation could map Triangle ABC onto Triangle A'B'C'.

• True

• False

Which of the following are congruence transformations? (select all that apply)

• Translations

• Dilations

• Rotations

• Reflections

Which of the following create congruent images? Select all that apply.

• Translations

• Reflections

• Rotations

• Dilation