A diagonal line connecting opposite vertices.
The midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides.
A line parallel to one base, extending to infinity.
A segment joining the bases directly.
The midsegment is parallel to the bases and its length is the average of the lengths of the two bases.
It intersects the bases at 90 degrees.
It has no specific relation to the bases.
It divides the bases equally.
(Base 1 - Base 2) * 2
Base 1 + Base 2
Length of midsegment = (Base 1 + Base 2) / 2
(Base 1 * Base 2) / 2
12cm
The midsegment will measure 10cm because (8cm + 12cm) / 2 = 10cm.
8cm
20cm
True
False. The midsegment is the average of the two bases, so it could be shorter than one base.
10cm
20cm
25cm
The other base is 5cm because (15 + Base 2) / 2 = 10cm, solving gives Base 2 = 5cm.
Yes, to all quadrilaterals without exception.
No, the midsegment theorem applies specifically to trapezoids.
Only to rectangles.
Only to parallelograms.
When the non-parallel sides are equal.
When both bases are equal, the midsegment will be equal to either base.
When one base is zero.
When the trapezoid is a square.
It simplifies calculations by allowing for easier determination of line segments and distances within trapezoids.
It allows infinite divisions of the trapezoid.
It calculates volumes of prisms.
It determines the symmetry axis.
Yes, if the bases are very small.
Yes, if the non-parallel sides are very long.
No, it is always the average length of the two bases, hence cannot be longer than both.
No, unless the trapezoid is a non-convex shape.
Yes, they are equal to the acute angles of the trapezoid.
Yes, if the trapezoid is isosceles.
Yes, but only if bases are equal.
No, the angles at the ends of the midsegment do not have any special equal properties like parallel sides do.
It provides unknown angles instantly.
Knowing the midsegment helps calculate areas, lengths, and can be used to make proofs.
It reduces the number of sides.
It eliminates the need for other information.
Yes, if it is irregular.
No, a trapezoid can only have one midsegment.
Yes, if bases are different lengths.
Yes, it can have multiple.
A triangle can be formed with the midsegment as its base and the height extending to the opposite base.
A square is formed always.
A trapezium is formed.
A diamond shape is created.
The trapezoid is actually a parallelogram.
It is a special type of quadrilateral.
It confirms that the trapezoid is properly identified, considering one of its basic properties is that the non-parallel sides are joined by the midsegment.
The trapezoid is irregular.