Chapter 5 Review: Relationships within Triangles

Front

What is a perpendicular bisector?

Back

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

Front

Identify the properties of a perpendicular bisector.

Back

1. It intersects the segment at its midpoint. 2. It forms right angles with the segment.

Front

What is an altitude in a triangle?

Back

A segment from a vertex to the opposite side, forming a right angle with that side.

Front

How do you identify a right angle in a triangle?

Back

A right angle measures 90 degrees and can be identified using a protractor or the Pythagorean theorem.

Front

What is the relationship between the angles formed by an altitude and the sides of a triangle?

Back

The angles formed by an altitude are right angles.

Front

If two angles are congruent, what does that mean?

Back

It means the angles have the same measure.

Front

How do you find the length of a segment using the Pythagorean theorem?

Back

For a right triangle, if a and b are the lengths of the legs, and c is the length of the hypotenuse, then a² + b² = c².

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a segment into two equal parts.

Front

How do you calculate the value of x in a triangle?

Back

Use the properties of triangles, such as angle sum property or congruence, to set up equations.

Front

What is the angle sum property of triangles?

Back

The sum of the interior angles of a triangle is always 180 degrees.