Online Test — Mid-point Theorem

In triangle ABC, D and E are mid-points of AB and AC. If base BC = 18 cm, what is the length of DE?

If a line is drawn from the mid-point of one side of a triangle parallel to the base, where does it hit the second side?

Three parallel lines make equal intercepts of 4 cm each on transversal T1. If they cut a second transversal T2 such that the first segment is 5 cm, what is the next segment?

In triangle XYZ, M is the mid-point of XY and N is the mid-point of XZ. If MN = 4.5 cm, calculate the length of the base side YZ.

The perimeter of a triangle is 40 cm. A new inner triangle is formed by connecting all three mid-points of its sides. What is the perimeter of this inner triangle?

In triangle ABC, D is the mid-point of AB and DE is parallel to BC. If segment AE measures 7 cm, what is the total length of side AC?

If the line joining the mid-points of two sides of a triangle is represented by x + 2, and the base is 16 cm, find x.

Four parallel lines slice transversal T1 into three equal sections. How many equal sections will they create on any other transversal line?

In triangle PQR, S is the mid-point of PQ and ST is parallel to QR. If PT = 2x - 1 and TR = x + 3, solve for the variable x.

The segment connecting the mid-points of two sides of a triangle is 8 cm long. What is the length of the base line?