Math 6 Study Guide for Quadrilaterals and Congruency
SOL 6.12 and 6.13
Consider the following quadrilaterals:
Square
Trapezoid
Rhombus
Rectangle
Kite
1. Which of the figures have 4 right angles?
______________________________________
2. Which of the figures are parallelograms?
______________________________________
3. Which of the figures has one set of parallel sides?
_______________________________________
4. Which of the figures can be a rectangle and a rhombus?
_________________________________________
5. Which of the figures can ONLY be classified as a quadrilateral?
___________________________________________
6. Which of the figures have four equal sides?
____________________________________________
7. Which of the figures have opposite sides which are parallel and
congruent?
_______________________________________________
8. The four angles of every quadrilateral must total _______degrees.
9. Which statement is false?
A. Every rhombus is a square.
B. Every rectangle is a parallelogram.
C. Every square is a rectangle.
D. No trapezoid is a parallelogram.
10. Consider the following square:
Classify the square in as many ways as possible:
A. Parallelogram, rhombus, and square.
B. Parallelogram, rectangle, and square.
C. Quadrilateral, rectangle, rhombus, and square.
D. Quadrilateral, parallelogram, rectangle, rhombus, and square.
11. Henry drew a quadrilateral with exactly one pair of parallel sides.
What figure did Henry draw?
A. Rhombus
B. Parallelogram
C. Kite
D. Trapezoid
12. The measure of three angles of a quadrilateral are 30, 48, and 150
degrees. What is the measure of the fourth angle? ___________
13. A quadrilateral contains a right angle and two angles measuring 37
and 110 degrees. What is the measure of the fourth angle? __________
14. Consider the following shape:
What is the best name of the shape?
A. trapezoid
B. rhombus
C. rectangle
D. parallelogram
15. If two figures are congruent, they have the same __________
and _____________.
16. Which pair of polygons appear to be congruent?
A.
B.
C.
D.
17. Which of the angles appear to be congruent to the angle pictured
below:
A.
B.
C.
D.
18. What makes these two figures congruent?
A. They are the same shape, but different sizes.
B. They are the same size, but different shapes.
C. They are the same shape and the same size.
D. They have different shapes and different sizes.
19. An angle has a measure of 38 degrees. What is the measure
of an angle congruent to this angle?
_______ degrees
20. One side of a rectangle is 8 inches. What is the length of the
side of the rectangle that is parallel to this side?
_________ inches
21. A square has a side with a length of 52. What is the length of a
side parallel to the side?
A. 5
B. 10
C. 25
D. Impossible to determine.
22. ABCD is a rectangle.
A
C
Which of the following is true?
A.
B.
C.
D.
AD = BC
AC = AB
AB ⊥ CD
BD = CD
B
D
Answer Key:
1. Square, rectangle
2. Square, rhombus, rectangle
3. Trapezoid
4. Square
5. Trapezoid, kite
6. Square, rhombus
7. Square, rhombus, rectangle
8. 360
9. A
10. D
11. D
12. 132 degrees
13. 123 degrees
14. D
15. Size and shape
16. B
17. B
18. C
19. 38
20. 8
21. C
22. A