Question

which sequence of transformations will map triangle a onto its congruent image, triangle b? a a reflection over the x - axis, then a reflection over the y - axis b a translation 4 units down, then a reflection over the y - axis c a reflection over the x - axis, then a translation 4 units to the left d a rotation 90° clockwise about the origin, then a translation 4 units to the left question 2: the shaded figure has been transformed into a linear pattern. which transformation(s) best describe how the pattern was created? a reflections b translations c reflections and rotations d translations and rotations

Explanation:

Step1: Analyze option A

A reflection over the x - axis flips the triangle upside - down and then a reflection over the y - axis flips it to the opposite side. This will not map triangle A to triangle B.

Step2: Analyze option B

A translation 4 units down moves the triangle downwards and then a reflection over the y - axis flips it to the opposite side. This will not map triangle A to triangle B.

Step3: Analyze option C

A reflection over the x - axis flips triangle A upside - down. Then a translation 4 units to the left moves it to the left. This sequence of transformations will map triangle A to triangle B.

Step4: Analyze option D

A 90° clockwise rotation about the origin changes the orientation of the triangle in a way that will not map it to triangle B, and then a translation 4 units to the left will not correct it.

Answer:

C. a reflection over the x - axis, then a translation 4 units to the left