2D Figures Study Guide
1. What do rectangles & squares have in common? What is different?
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.
2. What do squares, rectangles, parallelograms, and rhombuses have in common?
All are quadrilaterals, opposite sides are equal & have two sets of parallel sides.
3. Put a check mark by the true statements. √
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.
4. What is true of both a square and a parallelogram? What is true of a parallelogram, but not a square?
Both have two sets of parallel sides, but a parallelogram does not have to have equal sides or right angles
5. Is a rectangle a parallelogram? Why?
Yes, it has two sets of parallel sides.
6. A square is also a ___rectangle____, _____rhombus___, ___parallelogram____, ____kite____,
and a ____quadrilateral_____.
7. If two squares are put together, what is formed?
rectangle
8. How are a trapezoid and parallelogram related?
Both are quadrilaterals and have at least one set of parallel sides
9. What is the definition of a trapezoid?
A quadrilateral with only one set of parallel sides
10. A parallelogram is also a ______quadrilateral_____. A rhombus is also a _____parallelogram_____.
