Geometry Chap5 Part 2

Front

What is a median in a triangle?

Back

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

Front

Identify the centroid of a triangle.

Back

The centroid is the point where the three medians of a triangle intersect.

Front

What is the significance of the perpendicular bisector in a triangle?

Back

The perpendicular bisector of a side of a triangle is the line that divides that side into two equal parts at a right angle.

Front

How do you find the length of a side in a triangle using the centroid?

Back

The centroid divides each median into two segments, one of which is twice the length of the other.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its three sides.

Front

If UT = 12 and SV = 6, what is the length of the median from vertex S to side RT?

Back

The length of the median can be calculated using the properties of centroids and medians.

Front

What is the relationship between the sides of a triangle and its centroid?

Back

The centroid divides each median into a ratio of 2:1.

Front

How do you calculate the length of a side when given the centroid and other side lengths?

Back

Use the properties of medians and the centroid to set up equations based on the known lengths.

Front

What is the value of x if the equation is set up from triangle properties?

Back

The value of x can be determined by applying the triangle properties and solving the equation.

Front

What does it mean for two sides of a triangle to be equal?

Back

If two sides of a triangle are equal, the triangle is isosceles.