abcd is a rectangle ac is a diagonal find the nature of triangle acd give reasons?
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We know that all the angles of a rectangle are 90°. Since one angle of a triangle is 90°. Hence,ΔADC is a right angle triangle.
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1 Answer. Diagonals of a rectangle are always congruent.
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A rectangle is a quadrilateral whose opposite sides are equal and parallel. All the angles of a rectangle are right angles. A rectangle has two axes of line symmetry. The diagonals of a rectangle are equal and bisect each other.
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In the given figure, ABCD is a cyclic quadrilateral, in which AC and BD are its diagonals. ... In the given figure, ABCD is a cyclic quadrilateral, in which AC and BD are its diagonals. If ∠DBC = 60° and ∠BAC = 30°, then find ∠BCD.
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If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
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If ABC is the triangle, let FG be that line, and FGHK be the rectangle. FG is half the length of AB, and FH, a side of the rectangle, is half the altitude CD of the triangle. So the area of the rectangle is 1/4 the base of the triangle times its height, so the rectangle is half the area of the triangle.
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Yes if diagonals of a parallelogram are equal then it is a rectangle. Let PQRS be a parallelogram. To show that PQRS is a rectangle, we have to prove that one of its interior angles is 90º. Since PQRS is a parallelogram and one of its interior angles is 90º, PQRS is a rectangle.
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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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Given: The diagonals AC and BD of a quadrilateral ABCD are equal and bisect each other at right angles. To Prove: Quadrilateral ABCD is a square. ∴ AD = CB | C.P.C.T. ∠ODA = ∠OBC | C.P.C.T.
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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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In the Given Figure, Abcd is a Rectangle with Ab = 80 Cm and Bc = 70 Cm, ∠Aed = 90° and De = 42 Cm. a Semicircle is Drawn, Taking Bc as Diameter.
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A rectangle is a quadrilateral in which all angles are right angles. A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.
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DEFINITION: A rectangle is a parallelogram with four right angles. THEOREM: If a parallelogram is a rectangle, it has congruent diagonals. THEOREM Converse: If a parallelogram has congruent diagonals, it is a rectangle. ... THEOREM: If a parallelogram is a rhombus, each diagonal bisects a pair of opposite angles.
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Answer Expert Verified Given: Quadrilateral ABCD is a parallelogram with diagonals that intersect at point E. AD and BC are parallelogram, this means that they are equal in measure.
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The diagonals of a parallelogram are not of equal length. They bisect with each other at the point of intersection with equal sides across the point of intersection. This can be proved using the ASA criterion as well. When we divide the parallelogram through two diagonals, we see that four triangles are formed.
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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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In the given figure Abcd is a rectangle with length (p2q-5) and breadth (q2+4p)findthe area of shaded triangle pab. Area of rectangle ABCD = length l × breadth b = AB × BC = p 2 q - 5 × q 2 + 4 p given length = p 2 q - 5 and breadth = q 2 + 4 p = p 2 q - 5 q 2 + 4 p sq .