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Midlines of triangles and trapezoids
Dynamic tasks on triangle and trapezoid midlines, isosceles and equilateral triangles, and the 30° property.
Questions: 10Estimated time: 16 minutes
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Question 1out of 10
The vertex angle of an isosceles triangle is 68°. Find each base angle.
Triangle angles total 180°. Isosceles base angles are equal, so each is (180° − vertex angle)/2. In an equilateral triangle all three are equal: 180°/3 = 60°.
Question 2out of 10
Which definition correctly describes a triangle midline?
A triangle midline joins the midpoints of two sides. It is parallel to the third side and half as long. Divide the side by 2 for the midline; multiply the midline by 2 for the side.
Question 3out of 10
A triangle midline is 11 cm. Find the parallel side length.
A triangle midline joins the midpoints of two sides. It is parallel to the third side and half as long. Divide the side by 2 for the midline; multiply the midline by 2 for the side.
Question 4out of 10
A triangle side is 38 cm. Find the length of the parallel midline.
A triangle midline joins the midpoints of two sides. It is parallel to the third side and half as long. Divide the side by 2 for the midline; multiply the midline by 2 for the side.
Question 5out of 10
A trapezoid has bases 4 cm and 18 cm. Find its midline.
A trapezoid midline is m = (a + b)/2. To find base b, rearrange to b = 2m − a. The midline is the average of the base lengths.
Question 6out of 10
One base of a trapezoid is 3 cm and its midline is 6 cm. Find the other base.
A trapezoid midline is m = (a + b)/2. To find base b, rearrange to b = 2m − a. The midline is the average of the base lengths.
Question 7out of 10
A triangle midline is 5 cm. Find the parallel side length.
A triangle midline joins the midpoints of two sides. It is parallel to the third side and half as long. Divide the side by 2 for the midline; multiply the midline by 2 for the side.
Question 8out of 10
A right triangle has hypotenuse 22 cm. Find the leg opposite the 30° angle.
In a right triangle, the leg opposite 30° is half the hypotenuse. Divide the given hypotenuse by 2.
Question 9out of 10
A trapezoid has bases 4 cm and 14 cm. Find its midline.
A trapezoid midline is m = (a + b)/2. To find base b, rearrange to b = 2m − a. The midline is the average of the base lengths.
Question 10out of 10
What are the angles of an equilateral triangle?
Triangle angles total 180°. Isosceles base angles are equal, so each is (180° − vertex angle)/2. In an equilateral triangle all three are equal: 180°/3 = 60°.
Time left: 00:00:00
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Sample questions
- A triangle side is ___ cm. Find the length of the parallel midline.
- A triangle midline is ___ cm. Find the parallel side length.
- A trapezoid has bases ___ cm and ___ cm. Find its midline.
- One base of a trapezoid is ___ cm and its midline is ___ cm. Find the other base.
- The vertex angle of an isosceles triangle is ___°. Find each base angle.
Midlines of triangles and trapezoids
A triangle midline joins the midpoints of two sides, is parallel to the third side and has half its length. A trapezoid midline joins the midpoints of its legs, is parallel to the bases and has length m = (a + b)/2.
Related triangle properties
An isosceles triangle has equal base angles, while every angle of an equilateral triangle is 60°. In a right triangle, the leg opposite 30° is half the hypotenuse. Distinguish a midline from a median in a diagram.
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