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A comprehensive study guide on the properties and relationships of various quadrilaterals and related shapes, including squares, rectangles, parallelograms, rhombuses, and kites. It covers commonalities, differences, true statements, and examples, making it an essential resource for students of geometry.
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2D Figures Study Guide
Both are quadrilaterals, have right angles, two sets of parallel sides, and opposite sides equal. A square always has equal
sides, but a rectangle might not. A square is a rectangle, but a rectangle is not always a square.
All are quadrilaterals, opposite sides are equal & have two sets of parallel sides.
All rectangles are squares. A rhombus is never a square. All squares are parallelograms. √ A rhombus is always a square. A kite is always a rhombus. A kite is always a rectangle. Some quadrilaterals are trapezoids. √ A rhombus is never a rectangle. Some parallelograms are rhombuses. √
A rhombus is always a parallelogram. √
A kite is always a quadrilateral. √ A square is a rhombus with 4 right angles. √ All squares are rectangles. √ All rhombuses are rectangles. All parallelograms are squares. All rectangles are rhombuses. All rhombuses are also squares. A kite is always a square. A square is a rectangle with four sides the same length. √
All squares & rectangles have opposite sides that are congruent. √
All parallelograms, rectangles, and squares have opposite angles that are congruent. √ If all 4 sides of a rhombus are equal, then it is a square.
A square is a parallelogram with four lines of symmetry. √
If all 4 sides of a rectangle are equal, then it is a square. √ If all 4 angles of a rectangle are equal, then it is a square.
A square is a quadrilateral with exactly one pair of parallel sides.
If all 4 angles of a parallelogram are equal, then it is a square. A scalene triangle can be an obtuse triangle. √
A scalene triangle can be an equilateral triangle.
An equilateral triangle can be an obtuse triangle. An isosceles triangle can be an equilateral triangle.
Both have two sets of parallel sides, but a parallelogram does not have to have equal sides or right angles
Yes, it has two sets of parallel sides.
and a ____quadrilateral_____.
rectangle
Both are quadrilaterals and have at least one set of parallel sides
A quadrilateral with only one set of parallel sides
They are four sided polygons.
Polygons Geometric Figures that are NOT polygons Triangle Quadrilateral Pentagon Hexagon Octagon Etc.
Line Ray Oval Circle Point Etc.
Attributes Quadrilateral(s) Opposite sides congruent & parallel, opposite angles congruent
Rhombus, square, rectangle, parallelogram
All sides equal Square, rhombus
2 pairs of opposite parallel sides, 4 congruent sides, 2 obtuse angles, and 2 acute angles
Rhombus
Exactly two pairs of parallel sides Rhombus, square, rectangle, parallelogram
All four sides equal, but no right angles Rhombus
A closed figure with three or more straight sides
Right angles
Squares, rectangles, rhombuses
parallelogram
trapezoid^ kite
quadrilateral
square
rectangle rhombus