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QUESTION

# A superman logo in the shape of a triangle is available for print at Jack’s Custom Design Shop. The logo is designed on an app that uses graph paper for precise measurements to print the logo. The

A  superman logo in the shape of a triangle is available for print at Jack’s Custom Design Shop.  The logo is designed on an app that uses graph paper for precise measurements to print the logo.

The triangle has vertices A (-2, 3), B (0, 0) and C (-1, -1). Plot the coordinates of the Superman Logo on the coordinate plane. Be sure to label each point.

A customer wants the logo printed in the opposite direction, so Jack reflects the logo over the y-axis. Determine and plot the image points on the same coordinate plane. Label the new image A’B’C’ on the same coordinate plane and record the points on the table below.

The same customer wants an enlarged print of the reflected image. If the image is dilated by a scale factor of 3, determine the points of the dilated figure. Plot and label the new image A’’B’’C’’ on the same coordinate plane and record the points on the table below.

SUPERMAN LOGO

REFLECTION

DILATION

A (-2,3)

B (0,0)

C (-1,-1)

Which transformation applied preserved congruency to the original figure?  Explain.

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Which transformation produced a similar figure? Explain.

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If the original figure is dilated by a scale factor of 3 and then reflected over the y-axis in that order, will the final image be the same?  Explain your reasoning.

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SUPERMAN LOGO

DILATION

REFLECTION

A (-2,3)

B (0,0)

C (-1,-1)