Fall 2024 Geometry Winter Break Homework

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If a triangle has sides of lengths 3, 4, and x, what must be true about x?

Back

x must be less than 7 and greater than 1 (1 < x < 7).

Front

What is a reflection in geometry?

Back

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

Front

How do you identify a reflection across the y-axis?

Back

To identify a reflection across the y-axis, the x-coordinates of the points change sign while the y-coordinates remain the same.

Front

What is a line in geometry?

Back

A line is a straight one-dimensional figure that has no thickness and extends infinitely in both directions.

Front

What is the difference between a line and a line segment?

Back

A line extends infinitely in both directions, while a line segment has two endpoints and a finite length.

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape, using a scale factor.

Front

What does a scale factor of 1/2 mean in dilation?

Back

A scale factor of 1/2 means that the new figure will be half the size of the original figure.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point at a certain angle.