Geometry Transformation Review

The mathematical term for the line that you reflect a shape over is the...

• Mirror

• Reflective tape

• Line that you reflect over

• Line of reflection

Answer explanation

The question asks for the mathematical term for the line that a shape is reflected over. The correct term for this is 'Line of reflection'. The other options, 'Mirror', 'Reflective tape', and 'Line that you reflect over' are not the correct mathematical terms for this concept.

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees cw around the origin

• Rotate 90 degrees cw around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees ccw about the origin.

Answer explanation

The correct answer is 'Translate up and then rotate 90 degrees ccw about the origin.' This is because the sequence of transformations described in the question involves a translation (movement) upwards, followed by a counter-clockwise rotation of 90 degrees around the origin point.

What types of symmetry does this figure have? Select all that apply.

• Line Symmetry

• Point Symmetry

• Rotational Symmetry

• No Symmetry

What types of symmetry does this figure have? Select all that apply.

• Line Symmetry

• Point Symmetry

• Rotational Symmetry

• No Symmetry

For Triangle ABC: A: (3, 2) B: (2, 4) C: (5, 10), Given a scale factor of 3, write the resulting coordinate for A'B'C'

• A'(6, 4), B'(9, 18), C'(12, 24)

• A'(12, 8), B'(8, 16), C'(20, 40)

• A'(9, 6), B'(6, 12), C'(15, 30)

• A'(3, 2), B'(2, 4), C'(5, 10)

A: (6, 1) is translated with vector <-3, 4> then reflected across the x axis.

What are the coordinates for A''?

• (3, 5)

• (2, -4)

• (0, 5)

• (3, 1)

If C: (-5, -8) is reflected across Y=X, what is the resulting coordinate?

• (-8, 5)

• (5, -8)

• (-8, -5)

• (-5, -8)

If B: (3, 15) is reflected across the X axis, what is the resulting coordinate?

• (3, 15)

• (3, -15)

• (-3, 15)

• (3, 0)

If A: (-508, 762) is reflected across the Y Axis, what is the resulting coordinate?

• (-508, 762)

• (508, -762)

• (-508, -762)

• (508, 762)

If R: (-3, 8) is rotated 180 counter clockwise, what is the resulting coordinate?

• (3, -8)

• (-3, 8)

• (3, 8)

• (-3, -8)