c)reflect across the x-axis then a 180° rotation about vertex D
Explanation
Rotation is when the shape is turned around a point. Reflection is when a shape is reflected in a mirror line. Translation is when a shape is moved a certain distance from its original position.
so, let's check every option
Step 1
a)180 counterclockwise
so, this option is not correct
b)270 counterclockwise rotation about vertex D
so, this option is not correct
c)reflect acrros the x axis then a 180° rotation about vertex D
we can see that after these transformations we got the ACD triangle, so this is the correct answer
d) finally
reflect acrros the x axis then a 270 ° rotation about vertex D
so, the answer is
C)reflect acrros the x axis then a 180° rotation about vertex D
I hope this helps you
