are opposite sides of a parallelogram congruent?
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THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite sides congruent. THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent. ... DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
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If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.
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Properties of a Parallelogram The parallelogram's opposite angles are congruent to each other and its consecutive angles are supplementary to each other. The parallelogram's diagonals AC and BD bisect each other and its diagonals form two congruent triangles.
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The diagonals of a parallelogram are sometimes congruent. The diagonals of a rhombus are always perpendicular. The consecutive angles of a parallelogram are never complementary.
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A parallelogram is a quadrilateral with both pairs of opposite sides parallel. ... THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite sides congruent. * THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent.
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A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal.
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To prove that the opposite angles of a parallelogram are equal. Construction: Draw a parallelogram ABCD. Join BD. So triangles ABD and BCD are congruent.
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Which property is not true for all parallelograms? (1) Opposite angles are congruent. (2) Opposite sides are congruent. (3) Consecutive angles are supplementary.
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A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. ... A square has two pairs of parallel sides, four right angles, and all four sides are equal.
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Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals.
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All sides and angles are congruent. Opposite sides are parallel to each other. The diagonals are congruent. The diagonals are perpendicular to and bisect each other.
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A quadrilateral is a four-sided flat shape. A parallelogram is a quadrilateral with two pairs of opposite and parallel sides. To prove a quadrilateral is a parallelogram, you must use one of these five ways. ... Prove that one pair of opposite sides is both congruent and parallel.
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The parallelogram has the following properties: Opposite sides are parallel by definition. Opposite sides are congruent. Opposite angles are congruent.
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THEOREM: If a quadrilateral has diagonals which bisect each other, then it is a parallelogram. THEOREM: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram. This last method can save time and energy when working a proof!
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Opposite Angles Are Congruent The angles opposite of each other will have the same measurement. It's common for a parallelogram to have two acute angles and two obtuse angles.
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The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal. The diagonals of a parallelogram bisect each other.
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The opposite sides of a parallelogram are equal. ABCD is a parallelogram. To prove that AB = CD and AD = BC. ... Hence AB = CD and BC = AD (matching sides of congruent triangles).