HG - Chapter 4 Review

Front

What is a translation in geometry?

Back

A translation is a type of transformation that slides a figure from one position to another without changing its shape, size, or orientation.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure while maintaining its shape, either enlarging or reducing it.

Front

What is the result of a translation of a point (x, y) by a vector ?

Back

The new coordinates will be (x + a, y + b).

Front

What are the coordinates for point X' after a translation of <4, -8> from point (3, 4)?

Back

The new coordinates will be (3 + 4, 4 - 8) = (7, -4).

Front

What is the angle sum property of triangles?

Back

The angle sum property states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If m∠P = 32°, what is m∠R if m∠P + m∠Q + m∠R = 180°?

Back

m∠R = 180° - 32° - m∠Q. If m∠Q is known, substitute to find m∠R.

Front

What is the difference between enlargement and reduction in dilation?

Back

Enlargement increases the size of a figure, while reduction decreases the size of a figure.

Front

What is the formula for calculating the coordinates after a dilation with a scale factor k?

Back

If the original coordinates are (x, y), after dilation they become (kx, ky).