Grade 6 Quadrilaterals
Interactive step-by-step solver for understanding quadrilaterals and their properties.
Interactive step-by-step solver for understanding quadrilaterals and their properties.
Learn about quadrilaterals and their properties through these example problems with detailed step-by-step solutions.
A quadrilateral has opposite sides equal and all angles 90°. Classify the quadrilateral.
Opposite sides are equal, and all angles are 90°.
A quadrilateral with opposite sides equal is a parallelogram.
If all angles are 90°, it could be a rectangle or a square.
A square requires all sides to be equal. The problem does not specify all sides equal, only opposite sides.
Since opposite sides are equal and all angles are 90°, but all sides are not necessarily equal, the quadrilateral is a rectangle.
A quadrilateral has angles of 80°, 100°, and 70°. Find the fourth angle.
Angles are 80°, 100°, and 70°.
The sum of angles in a quadrilateral is \( 360^\circ \).
\( \text{Fourth angle} = 360^\circ - (\text{Angle 1} + \text{Angle 2} + \text{Angle 3}) \).
\( \text{Fourth angle} = 360^\circ - (80^\circ + 100^\circ + 70^\circ) = 360^\circ - 250^\circ = 110^\circ \).
A quadrilateral has all sides 4 cm and all angles 90°. Classify the quadrilateral.
All sides are 4 cm, and all angles are 90°.
All sides equal and all angles 90° indicate a square.
A square is also a rectangle and a parallelogram, but the specific property of all sides equal makes it a square.
The quadrilateral is a square.
A quadrilateral has opposite sides 5 cm, 5 cm, 3 cm, and 3 cm. Classify the quadrilateral.
Opposite sides are 5 cm, 5 cm, 3 cm, and 3 cm.
A quadrilateral with opposite sides equal is a parallelogram.
Not a square (sides not all equal), not a rectangle (angles not specified as 90°), not a rhombus (not all sides equal).
The quadrilateral is a parallelogram.
Design a table in the shape of a quadrilateral with one pair of parallel sides 6 m and 4 m. Classify the quadrilateral.
One pair of parallel sides with lengths 6 m and 4 m.
A quadrilateral with exactly one pair of parallel sides is a trapezium.
Not a parallelogram (only one pair of parallel sides), not a square, rectangle, or rhombus (no additional properties specified).
The quadrilateral is a trapezium.
Enter your own quadrilateral problem, and get a step-by-step solution.
Note: This solver handles classifying quadrilaterals (e.g., Opposite sides equal, all angles 90°; classify quadrilateral), finding the fourth angle (e.g., Angles 80°, 100°, 70°; find fourth angle), verifying a square (e.g., Sides 4 cm, all angles 90°; classify quadrilateral), identifying a parallelogram (e.g., Opposite sides 5 cm, 5 cm, 3 cm, 3 cm; classify quadrilateral), and real-world problems (e.g., One pair of parallel sides 6 m, 4 m; classify quadrilateral). Enter the problem clearly.
Use formats like 'Opposite sides equal, all angles 90°; classify quadrilateral', 'Angles 80°, 100°, 70°; find fourth angle', 'Sides 4 cm, all angles 90°; classify quadrilateral', 'Opposite sides 5 cm, 5 cm, 3 cm, 3 cm; classify quadrilateral', or 'One pair of parallel sides 6 m, 4 m; classify quadrilateral'.