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2. Write ‘True’ or ‘False’ for each of the following: (i) Every rhombus is a square. (ii) Every square is a rhombus. (iii) Every rhombus is a rectangle. (iv) Every rectangle is a rhombus. (v) Every rhombus is a parallelogram. (vi) Diagonals of a rhombus need not to be equal in length. (vii) Every parallelogram is a rectangle. ANSWERS 1.

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Mar 26, 2020 · A square and rectangle are both quadrilaterals, which are four-sided shapes. A square is a special kind of rectangle because all of its sides are equal. Due to all angles in both squares and rectangles being 90 degrees, both types of shapes share the property that opposite sides are parallel to each other and connecting sides are perpendicular.

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For #17-22, True or False. 17. A rhombus is a parallelogram with four congruent sides. _____ 18. A rectangle is a parallelogram with four right angles. _____ 19. A square is a rectangle and a rhombus. _____ 20. A rhombus is always square. _____ 21. Every parallelogram is a regular quadrilateral. _____ 22. In a rectangle, the diagonals are ...

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Conditional: If a figure is a square, then it is a parallelogram. TRUE. Converse: If a figure is a parallelogram, then it is a square. FALSE (it could be a rectangle) Inverse: If a figure is not a square, then it is not a parallelogram. FALSE (it could be a rhombus, which is a parallelogram) Contrapositive If a figure is not a parallelogram, then it is not a square. TRUE Dec 19, 2019 · AB is parallel to DC and AD is parallel to BC 2. angle 1 = angle 2, angle 3 = angle 4 3. BD = BD 4. triangles ADB and CBD are congruent 5. AB = DC, AD = BC REASONS 1. Definition of parallelogram 2. If two parallel lines are cut by a transversal then the alternate interior angles are congruent 3. 4.

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13) True or False. If false, explain. a) Every parallelogram is a quadrilateral. b) Some parallelograms are not squares c) Every square is a rhombus. d) A figure can be both a square and a parallelogram but not a rectangle. e) Every property of a parallelogram is also a property of a square. f) The diagonals of a rectangle bisect the angles.

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Thus a rectangle is an equiangular quadrilateral. Each angle is 90° or right. Since alternate interior angles are equal we can easily deduce that the sides are also parallel. Thus a rectangle is a parallelogram. Both perpendicular bisectors of the sides of a rectangle are symmetry lines.