1. 2D Figures Review
By: Regan Copelan

2. Please use your study guides to help you!
Also, use the definitions to prove whether or not you are correct!

3. Example:
Which of the following is a quadrilateral that could have one pair of parallel sides and one pair of sides that are not parallel?
Rectangle
Rhombus
Trapezoid
The answer is trapezoid because the other choices all have two pairs of parallel sides according to their definitions. Also, this is the perfect definition of a trapezoid. Whatever answer you pick, make sure you back it up with a definition (use your study guide).

4. Which set of properties describes a square?
A square has four equal sides and two equal angles.
A square has four equal sides with no equal angles.
A square has four equal sides and four equal angles.

5. The correct choice is:
A square has four equal sides and four equal angles.

6. Classify this shape: I. parallelogram II. rectangle III. rhombus
IV. square
A) I, II, and III
B) I only

7. The shape is: B) ONLY A PARALLELOGRAM
Why? The shape doesn’t have 4 right angles, so it can’t be a square or a rectangle. Also, can’t be a rhombus because all 4 sides are not equal.

8. What does a trapezoid, parallelogram, rectangle, & rhombus all have in common?
They are all pentagons.
They are all squares.
They are all triangles.
They are all quadrilaterals.

9. The answer is:
They are all quadrilaterals. The only thing they have in common is that they all have 4 sides.

10. Which of the following is a quadrilateral which must contain diagonals that are always congruent and must always have four 90° angles?
Rhombus
Rectangle
Parallelogram
trapezoid

11. The answer is: Rectangle
The rectangle is the only choice that has 90 degree angles.

12. Trapezoid Parallelogram Rectangle rhombus
Which of the following is a quadrilateral that always has four equal sides and opposite angles congruent?
Trapezoid
Parallelogram
Rectangle
rhombus

13. The answer is:
Rhombus. The rhombus is the only choice that has equal sides.

14. Which of the polygons listed below have at least four sides?
Triangles Quadrilaterals Pentagons Hexagons Heptagons

15. The answer is: All of them but the triangle have AT LEAST 4 sides.
Quadrilaterals = 4 sides
Pentagons = 5 sides
Hexagons = 6 sides
Heptagons = 7 sides

16. What is a property of all rectangles?
The diagonals of a rectangle do not have equal length.
The four sides of a rectangle have equal length.
The opposite sides of a rectangle are parallel.

17. The answer is:
The opposite sides of a rectangle are parallel.

18. Classify the triangle:
I. Equilateral
II. Right
III. Acute
IV. Isosceles
REMEMBER ALL TRIANGLES HAVE 2 NAMES: A SIDE NAME & A AN ANGLE NAME

19. The answer is: Isosceles: 2 sides are the same
Acute: angles are all less than 90 degrees

20. Classify the triangle:
I. Isosceles
II. Equilateral
III. Scalene
IV. Obtuse

21. The answer is:
Isosceles- 2 equal sides
Obtuse- 1 obtuse angle

22. What is the difference between a rectangle and a rhombus?
Use your definitions to explain.

23. The answer is:
A rectangle has four right angles and a rhombus has opposite angles of equal measure.

24. A trapezoid is always an example of a:
I. rectangle
II. rhombus
III. parallelogram
IV. square

25. The answer is: None of these
(If answer on test doesn’t match up… I will give points back, so mark NONE OF THESE)

26. What is the main difference between squares and rhombuses?
Squares always have four congruent sides; rhombuses do not.
Rhombuses always have four congruent sides; squares do not.
Squares always have four interior angles which each measure 90°; rhombuses do not.

27. The answer is:
Squares always have four interior angles which each measure 90°; rhombuses do not.

28. Which of the polygons listed below have at least three angles?
Triangles
Quadrilaterals
Pentagons
Hexagons

29. The answer is: They ALL have AT LEAST 3 angles. Triangles: 3 angles
Quadrilaterals: 4 angles
Pentagons: 5 angles
Hexagons: 6 angles

30. Classify the shape below:
I. parallelogram
II. rectangle
III. rhombus
IV. square
V. trapezoid

31. The answer is: Trapezoid
Can’t be square or rectangle because it doesn’t have any right angles.
Can’t be parallelogram or rhombus because it only has one set of parallel sides.