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djyliett [7]
3 years ago
13

Which representation of a transformation on a coordinate grid does not preserve congruence?

Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Consider all options:

A. Transformation with the rule

(x,y)\rightarrow (x,-y)

is a reflection across the x-axis.

Reflection across the x-axis preserves the congruence.

B. Transformation with the rule

(x,y)\rightarrow \left(\dfrac{7}{8}x,\dfrac{7}{8}y\right)

is a dilation with a scale factor of \frac{7}{8} over the origin.

Dilation does not preserve the congruence as you get smaller figure.

C. Transformation with the rule

(x,y)\rightarrow (x+6,y-4)

is a translation 6 units to the right and 4 units down.

Translation 6 units to the right and 4 units down preserves the congruence.

D. Transformation with the rule

(x,y)\rightarrow (y,-x)

is a clockwise rotation by 90^{\circ} angle over the origin.

Clockwise rotation by 90^{\circ} angle over the origin preserves the congruence.

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