Geometry 2024 Fall Test 4

Front

What is a parallel segment?

Back

A parallel segment is a line segment that runs alongside another line segment, maintaining the same distance apart and never meeting.

Front

Name a pair of parallel segments in a triangle.

Back

In a triangle, the segments that are parallel to the base are called parallel segments.

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

Can a triangle have sides of lengths 3, 8, and 9?

Back

Yes, because 3 + 8 > 9, 3 + 9 > 8, and 8 + 9 > 3.

Front

What is the perimeter of a triangle?

Back

The perimeter of a triangle is the total length of all its sides.

Front

If the sides of a triangle are in the ratio 2:4:7, what does this mean?

Back

It means that for every 2 units of the first side, the second side is 4 units, and the third side is 7 units.

Front

How do you find the length of a side in a triangle given the perimeter?

Back

To find the length of a side, divide the perimeter by the sum of the ratios and multiply by the ratio of the side.

Front

What is an extended ratio?

Back

An extended ratio compares three or more quantities.

Front

Can a triangle be formed with side lengths 10, 12, and 22?

Back

No, because 10 + 12 is not greater than 22.

Front

What is the longest side of a triangle?

Back

The longest side of a triangle is opposite the largest angle.