Answer to Question #200955 in Math for Khomotso

Question

On a coordinator plane,sketch a quadrilateral object by plotting and connecting coordinate point A(-5,-1) ; B (-1,-2) C (-2,-5) D (-6 ,-4).

3.1. Reflect the object vertically in the axis.

Write down the coordinate points of the vertically reflected image.

Describe the symmetry that resulted from the horizontal reflection.

Is the image isometric to the object?

3.2. Connect B to the origin and rotate the object about the origin in quadrant II , I and IV.

Write down the coordinate points of the image.

Discuss whether there is symmetry in the final four shapes.

Decide whether the images are isometric to the object.

3.3. Dilate the object by a scale factor of 1.5.

Write down the coordinate points of the image.

Is there any mention of symmetry between the object and the image? Explain.

Describe and explain the similarity between the object and the image.

Answer 1

As A (-5, -1), B (-1, -2), C (-2, -5), D (-6, -4) are coordinates of quadrilateral ABCD. The mirror representation of ABCD about x-axis is A'B'C'D' where A' (-5, 1), B' (-1, 2), C' (-2, 5), D' (-6, 4)

A'B'C'D' has the mirror-image symmetry of ABCD about x-axis that serves as a mirror line on line symmetry.

Indeed, the image A'B'C'D' is isometric to object ABCD.