parallelogram consecutive angles are congruent?
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THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent. THEOREM: If a quadrilateral is a parallelogram, it has consecutive angles which are supplementary. THEOREM: If a quadrilateral is a parallelogram, it has diagonals which bisect each other.
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The diagonals of a parallelogram are not equal. ... Because the parallelogram has adjacent angles as acute and obtuse, the diagonals split the figure into 2 pairs of congruent triangles. Since the angles are acute or obtuse, two of the shorter sides of the triangles, both acute and obtuse are congruent.
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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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Problem 2: A rectangle is sometimes a square. 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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Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.
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Angles are congruent if they have the same angle measure in degrees. They can be at any orientation on the plane.
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A rectangle is a parallelogram, so its opposite angles are congruent and its consecutive angles are supplementary.
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Since corresponding angles are congruent, ∠1 ≅ ∠5. ... If two parallel lines are cut by a transversal, the exterior angles on the same side are supplementary.
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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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Parallelogram Theorem #1: Each diagonal of a parallelogram divides the parallelogram into two congruent triangles. Parallelogram Theorem #2: The opposite sides of a parallelogram are congruent. ... You can show that alternate interior angles are congruent and hence lines are parallel for this part of the proof.
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DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.
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Problem 1: The opposite sides of a parallelogram are both parallel and congruent. The opposite angles of a parallelogram are congruent. ... The consecutive angles of a parallelogram are never complementary. A square is always a rhombus.
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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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Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex. ... Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.
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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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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. A square is always a rhombus.
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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.