Symmetry and Transformations Question
View this question.
Add this question to a group or test by clicking the appropriate button below.
Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.4
Triangle ABC is translated 7 units right and 3 units up. The translated image is A'B'C' (not shown). Ellen believes that quadrilateral B'BCC' is a parallelogram and gives the following reasoning why. She knows that because rigid transformations do not change the size of a line segment, that ¯BC≅¯C′B′. Also, ¯BB′≅¯CC′ since line segments formed by corresponding points of translated images are congruent. James disagrees with her and says that she has not shown quadrilateral B'BCC' is a parallelogram. Who is correct and why?
- Ellen is correct. Her statements are correct and sufficient to conclude that B'BCC' is a parallelogram.
- James is correct. Although Ellen's statements are correct, they are not sufficient to conclude that B'BCC' is a parallelogram.
- James is correct. Ellen's reasoning as to why ¯BB′≅¯CC′ is not incorrect.
- James is correct. There are other ways to prove B'BCC' is a parallelogram.