How to Reflect Quadrilateral ABCD Onto A'B'C'D'

Math Problem Statement

Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'.

From the image, the problem involves finding the line of reflection that maps quadrilateral $ABCD$ onto $A'B'C'D'$ .

Reflection Property:
- For a point and its image under reflection, the line of reflection is the perpendicular bisector of the segment connecting the point to its image.
Identify Corresponding Points:
- Point $A$ reflects to $A'$ .
- Point $B$ reflects to $B'$ , etc.
Midpoints:
- The line of reflection will pass through the midpoints of the segments $AA'$ , $BB'$ , etc.
Determine Slope and Equation:
- By calculating or visually observing, the line of reflection appears to be vertical or diagonal, based on the given points.

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Reflections
Transformations
Symmetry in Geometry

Midpoint formula: M = ((x1+x2)/2, (y1+y2)/2)

The line of reflection is the perpendicular bisector of the segment joining a point and its image.

Grades 8-10

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