Geometry Unit 5 Vocab and Midsegment Theorem

Front

What is the definition of an altitude in geometry?

Back

An altitude is a segment from a vertex of a triangle perpendicular to the line containing the opposite side.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the relationship between a perpendicular bisector and the midpoint of a segment?

Back

A perpendicular bisector is perpendicular to and always passes through the midpoint of a segment.

Front

How do you find the value of y if a segment labeled 'x+4' is a midsegment?

Back

You would use the properties of midsegments in triangles, which state that the midsegment is parallel to the base and half its length.

Front

What segment is parallel to EF in a given figure?

Back

Segment NP is parallel to EF.

Front

What is the Midsegment Theorem in geometry?

Back

The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.

Front

How do you identify the midpoint of a segment?

Back

The midpoint of a segment is found by averaging the coordinates of the endpoints.

Front

What is the significance of the altitude in triangle properties?

Back

The altitude helps determine the area of a triangle and is crucial in various triangle theorems.

Front

What is the formula for the area of a triangle using the base and height?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

What is the difference between a segment and a ray?

Back

A segment has two endpoints, while a ray has one endpoint and extends infinitely in one direction.