Question

Identify JIG --->DEF as a reflection, translation, rotation, or glide reflection. Find the reflection line, translation rule, center and angle of rotation, or glide translation rule and reflection line.

Answer 1

The correct answer is A. rotation; 180 about (1, 4)

Answer 2

Answer:

rotation 180° about (1, 4)

Step-by-step explanation:

When rotation is made about origin, i. e., point (0, 0); points of the shape transform from (x, y) to (-x, -y). But when the rotation is about point (x0,  y0) the points transform from (x, y) to (-x +2*x0, -y +2*y0); notice that rotation about origin is a special case of this more general rule.

Then, the transformations about point (1, 4) are:

G (5, 4)-> (-5 + 2*1, -4 + 2*4) -> F (-3, 4)

I (5, 0)-> (-5 + 2*1, -0 + 2*4) -> E (-3, 8)

J (8, 0)-> (-8 + 2*1, -0 + 2*4 ) -> D (-6, 8)