4.1 Congruence and Transformations

Which of the following is the ONLY transformation that does not preserve CONGRUENCE?

• Dilations

• Translations

• Rotations

• Reflections

What of the following is a valid explanation for congruency?

• Same size and different shape.

• Different size and different shape.

• Same size and same shape.

• Same shape and different size.

In a reflection, if a figure reflects over the y-axis, we can assume that ....

• both x and y remain the same

• x changes sign and y stays the same

• x stays the same and y changes sign

• x and y both change sign

Which of the following is the correct algebraic representation to describe a figure that has translated 3 units up and 8 units to the left?

• (x,y) --> (x+3, y-8)

• (x,y) --> (x-3, y+8)

• (x,y) --> (x+8, y-3)

• (x,y) --> (x-8, y+3)

Which of the following represents a reflection across the x-axis?

• (x,y) --> (-x, y)

• (x,y) --> (x, -y)

• (x,y) --> (-y, x)

• (x,y) --> (-x, -y)

Which of the following represents a DILATION with a scale factor of 0.8?

• (x,y) --> (x+0.8, y+0.8)

• (x,y) --> (x - 0.8, y - 0.8)

• (x,y) --> (0.8y, 0.8x)

• (x,y) --> (0.8x, 0.8y)

Which of the following triangles represents a reflection with Triangle A across the y-axis?

• A

• B

• O

• Z

Based on the image, which pair of transformations changes in ORIENTATION?

• Translation and Reflection

• Translaion and Dilation

• Rotation and Reflection

• Rotation and Dilation

Which of the following algebraic expressions represents a translation?

• (x,y)-->(x + 3, y - 3)

• (x,y)--> (3x, 3y)

• (x,y)--> (-x, y)

• (x,y)--> (y, -x)

Which of the following algebraic expressions represents a reflection?

• (x,y)-->(x + 3, y - 3)

• (x,y)--> (3x, 3y)

• (x,y)--> (-x, y)

• (x,y)--> (y, -x)