Introduction to Transformations
A rigid transformation can also be referred to as an isometric transformation. The prefix "iso-" means "of the same" and "-metric" means "measure." How does the meaning of the word isometric relate to determining if an isometric transformation occurred?
An isometric transformation creates an image that is congruent to the preimage. All corresponding line segments and angle measures are equal.
Which transformation shows a reflection of ΔDEF?
B
The mapping of DEFG to D'E'F'G' is shown. Which statements are true regarding the transformation? Check all that apply.
EF corresponds to E'F'. ∠EDG ∠E'D'G' ∠DEF ∠D'E'F' The transformation is a rigid transformation.
The transformation maps ΔABC to ΔA'B'C'.
It is isometric because all side lengths and angle measures remained the same.
All side lengths of ΔJKL equal 2 units. A transformation maps ΔJKL to ΔJ'K'L'. The length of side J'K' is 5 units. Is this a rigid transformation?
No, at least one segment length is not preserved, making this a nonrigid transformation.
Consider the rotation of figure WXYZ shown. Complete the statements about the transformation shown.
W' Z'W'X'
Which type of transformation maps trapezoid PQRS onto trapezoid P'Q'R'S'?
dilation
Use the drop-down menus to complete the sentence. The transformation is ______ because the ___________ preserved.
non rigid segment lengths are not
How can the transformation shown be described? Check all that apply.
nonrigid transformation stretch
The pre-image, ΔSTU, has undergone a type of transformation called a rigid transformation to produce the image, ΔVWX. Compare the measures of the triangles by dragging the image to the pre-image. Which measures are equal? Check all that apply.
pick them all
Which statements are correct? Check all that apply.
point F → point F' Point D of the pre-image corresponds to point D' of the image. Parallelogram DEFG maps to parallelogram D'E'F'G'.
Which transformations are rigid transformations? Check all that apply.
reflection rotation translation
What type of transformation maps ΔQRS to ΔQ'R'S'?
rotation
Which type of rigid transformation is shown?
translation
A transformation is shown in the diagram.∠A ∠A' and ∠C ∠C'
ΔABC was rotated to form ΔA'B'C'. The transformation is isometric.
Which type of transformation is shown? The transformation is a _________ transformation. How do the angle measures and side lengths compare? The angle measures of rectangle QRST are __________ the angles measures of rectangle Q'R'S'T'. The side lengths of rectangle QRST are __________ the side lengths of rectangle Q'R'S'T'.
✔ reflection, a type of rigid transformation. ✔ equal to ✔ equal to
