Properties of Parallelograms Quiz

In parallelogram ABCD, if side AB is 10 units long, what is the length of side CD?

In parallelogram PQRS, if angle P measures 70 degrees, what is the measure of angle R?

In parallelogram WXYZ, if angle W measures 120 degrees, what is the measure of angle X?

In parallelogram EFGH, diagonals EG and FH intersect at point I. If EI is equal to 6 units, what is the length of IG?

Parallelogram JKLM has a diagonal JL. Which triangle is congruent to triangle JKL?

Properties of Parallelograms

Opposite Sides: In a parallelogram, any two opposite sides are congruent (equal in length). For example, in parallelogram HOME, HO is equal to ME, and HE is equal to MO.
Opposite Angles: Any two opposite angles in a parallelogram are congruent (equal in measure). In parallelogram JUST, angle TJU is equal to angle UST, and angle JTS is equal to angle SUJ.
Consecutive Angles: Any two consecutive angles in a parallelogram are supplementary (their measures add up to 180 degrees). In parallelogram LIVE, angle L and angle I are supplementary (m∠L + m∠I = 180°), as are angles I and V, V and E, and E and L.
Diagonals Bisect Each Other: The diagonals of a parallelogram bisect each other. This means they cut each other in half. In parallelogram CARE, AO is congruent to EO, and CO is congruent to RO.
Diagonals Create Congruent Triangles: A diagonal of a parallelogram divides the parallelogram into two congruent triangles. For example, in parallelogram LOVE, diagonal EO divides the parallelogram into congruent triangles LOE and VEO. Likewise in parallelogram LOVE, diagonal LV divides the parallelogram into congruent triangles LEV and VOL.

Test your understanding of the key properties of parallelograms with this quiz. Explore concepts like congruent sides, angles, and the behavior of diagonals in parallelograms. Perfect for geometry students looking to sharpen their skills.