prove abcd is an isosceles trapezoid?
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Prove: Trapezoid ABCD is isosceles. Proof: By the Parallel Postulate, we can draw the auxillary line . , by the Corr. the Transitive Property, . Thus, ABCD is an isosceles trapezoid.
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Intersection of diagonals (2) ABCD is a cyclic quadrilateral if and only if points P and Q are the midpoints of sides AB and CD. The intersection P may be internal or external to the circle. In the former case, the cyclic quadrilateral is ABCD, and in the latter case, the cyclic quadrilateral is ABDC.
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ABCD is a rectangle in which diagonal AC bisects `/_A` as well as `/_C` . Show that: (i) ABCD is a square (ii) diagonal BD bisects `/_B` as well as `/_Ddot` .
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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).
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ABCD is a parallelogram whose diagonals AC and BD intersect at O. A line through O intersect AB at P and DC at Q. Prove that: ar( POA) = ar( QOC)
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Here, ABCD is a cyclic quadrilateral, we need to find x. In cyclic quadrilateral the sum of opposite angles is equal to 180°. Hence, the value of x is 100°.
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The angles in isosceles trapezoids are important to study. The diagonals, however, are also important. The diagonals in an isosceles trapezoid will not necessarily be perpendicular as in rhombi and squares. They are, however, congruent.
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As ABCD is a cyclic quadrilateral, so the sum of a pair of two opposite angles will be 180o. The value of angle D is 120o.
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In the figure given below, ABCD is a parallelogram. E is a point on AB. CE intersects the diagonal BD at G and EF is parallel to BC.
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It is a special case of a trapezoid. ... In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.
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Explanation: A trapezoid is a quadrilateral with at least one pair of parallel sides. In a square, there are always two pairs of parallel sides, so every square is also a trapezoid.
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Given: ABCD is a quadrilateral and BD is one of its diagonals. To Prove: ABCD is a parallelogram and to determine its area. ... Given: The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed.
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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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"Question 12 ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Show that (i) ∠A = ∠B (ii) ∠C = ∠D (iii) ΔABC ≅ ΔBAD (iv) diagonal AC = diagonal BD [Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]
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Answer and Explanation: The diagonals of a trapezoid are only congruent (have the same length) if the trapezoid is an isosceles trapezoid.
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Given ABCD is a square and CDE is a equilateral triangle. we have to find the angles ∠AED, ∠EAB and reflex angle of ∠AEC.
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If the diagonals AC and BD of a quadrilateral ABCD intersect O and separate the quadrilateral in four triangle are equal, can you prove ABCD is a parallelogram? Given that all triangles formed by diagonals of the quadrilateral are equal. ... We proved that diagonals of ABCD bisect each other. => ABCD is a parallelogram.