abcd is a parallelogram. what kind of quadrilateral is it if?
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ABCD is a parallelogram. What kind of quadrilateral is it&#160;if :AC = BD and AC are perpendicular to BD? Answer: quadrilateral is square.
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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. The diagonals of a parallelogram bisect each other.
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Another quadrilateral that you might see is called a rhombus. All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram.
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Abcd is a quadrilateral in which diagonals bd=64 cm alperpendicular bd and cm perpendicular bd such that al =16.8cm and cm =13.2 cm.
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In a quadrilateral ABCD, if one pair of opposite sides is equal and parallel, then it is a parallelogram.
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SOLUTION: Quadrilateral ABCD is an isosceles trapezoid with AB parallel to DC, AC=DC, and AD=BC. If the height h of the trapezoid is equal to AB, find the ratio AB:DC. I used coordinate geometry to solve the problem; there are certain to be other paths, possibly much easier.... Let points C and D be C(0,0) and D(1,0).
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ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked on the sides AB, BC, CD, and DA, respectively. The number of triangles with vertices on different sides is (A) 270 (B) 220 (C) 282 (D) 342.
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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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ABCD is a quadrilateral in which AB=AD . The bisector of BAC AND CAD intersect the sides BC and CD at the points E and F respectively. Prove that EF||BD.
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In the figure below, ABCD is a square. Points are connected on each pair of adjacent sides of ABCD to form 4 congruent right triangles, as shown below. Each of these triangles has one leg that is twice as long as the other leg.
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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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Definition. A quadrilateral ABCD is a parallelogram if AB is parallel to CD and BC is parallel to DA. Assertion 1. If ABCD is a parallelogram, then the diagonals of ABCD bisect each other.
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A quadrilateral is any figure with 4 sides. A parallelogram is a special type of quadrilateral in that it's opposite sides are parallel to each other.
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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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A parallelogram is a quadrilateral with opposite sides parallel. ... A rectangle is a parallelogram but with all four interior angles fixed at 90° A rhombus is a parallelogram but with all four sides equal in length. A square is a parallelogram but with all sides equal in length and all interior angles 90°
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Since abcd is a cyclic quadrilateral whose diagonal ac and bd intersect at p if ab = dc, our aim is to prove that triangle pas is congruent to triangle pdc ,pa=pb ,pc=pb ,ad is parallel to bc. ... In third part, we are given that diagonals are bisectors, so ABCD is a parallelogram, therefore AD║BC.
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DEFINITION: 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.