Unit 5 Retake Assignment

Front

What is the mid segment of a triangle?

Back

The mid segment of a triangle is a line segment that connects the midpoints of two sides of the triangle. It is parallel to the third side and its length is half the length of that side.

Front

If the mid segment of a triangle is represented as 5x - 1, how do you find the value of x when the mid segment equals 5?

Back

Set the equation 5x - 1 = 5. Solving gives x = 6.

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

If G is the centroid of triangle ABC and BE = 18, how do you find the length of BG?

Back

Since G divides each median in a 2:1 ratio, BG = 1/3 of BE, which is 12.

Front

What is the relationship between the lengths of segments created by the centroid in a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Front

How do you find the value of x in an equation like 2x + 4 = 16?

Back

Isolate x by subtracting 4 from both sides, then divide by 2. The solution is x = 6.

Front

What is the measure of an angle in a triangle if the other two angles are 46° and 46°?

Back

The measure of the third angle is 180° - (46° + 46°) = 88°.

Front

What is the formula for finding the length of a median in a triangle?

Back

The length of a median can be calculated using the formula: m = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the median and c is the length of the opposite side.

Front

If GF = 4 and G is the centroid, how do you find GC?

Back

Since G divides the median in a 2:1 ratio, GC = 2 * GF = 8.

Front

What is the sum of the interior angles of a triangle?

Back

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