A rigid transformation preserves the dimensions of the image
The option that gives the sequence of transformation that takes ΔB to ΔB is the option B.
(B) Reflection across y-axis and a translation 2 units down
Reason:
Question: The sequence of transformation that takes ΔA to image ΔB
From a similar question, we have, ;
The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)
The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)
The options are;
(A) Reflection over the x-axis and 2 units translation down
(B) Reflection over the y-axis and 2 units translation down
(C) 90° rotation after a translation of 2 units down
(D) 90° rotation after a translation of 12units right
Solution;
The length of the base of ΔA = -3 - (-9) = 6
The length of the base of ΔB = 9 - 3 = 6
Therefore, the length s of triangle A and triangle B are equal
The orientation of the base of ΔA and ΔB are both horizontal
The location of the the side that traverses four cells are both furthest from the y-axis, or the vertical
Therefore, ΔB is a reflection of ΔA across the y-axis
We also have;
The base of ΔB is 2 units lower than the base ΔA
Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down
Learn more here;
https://brainly.com/question/23461633
