Topic 5 Practice B

Front

What is the median of a set of numbers?

Back

The median is the middle value in a list of numbers sorted in ascending order. If there is an even number of values, the median is the average of the two middle numbers.

Front

What is a centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle.

Front

Can a triangle be formed with side lengths 4, 7, and 10?

Back

Yes, a triangle can be formed with these side lengths because the sum of the lengths of any two sides is greater than the length of the third side.

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations such as addition, subtraction, multiplication, or division.

Front

What is the relationship between the sides of a triangle?

Back

In any triangle, the sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

Front

What does it mean to order sides from largest to smallest?

Back

To order sides from largest to smallest means to arrange the lengths of the sides in descending order.

Front

What is the formula for finding the centroid of a triangle with vertices (x1, y1), (x2, y2), (x3, y3)?

Back

The centroid (G) can be found using the formula: G = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).

Front

What is a median in a triangle?

Back

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

Front

What is the difference between a centroid and an orthocenter?

Back

The centroid is the intersection of the medians, while the orthocenter is the intersection of the altitudes of a triangle.