Math 6 Properties of Quadrilaterals and Congruent Polygons SOLs 6.12 & 6.13 Study Guide
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1 Math 6 Properties of Quadrilaterals and Congruent Polygons SOLs 6.12 & 6.13 Study Guide What do I need to know for the upcoming assessment? Properties of Quadrilaterals: Identify a quadrilateral given the properties of the shape Identify the commonalities of given shapes based on properties Identify the differences in shapes based on properties Vocabulary: congruent, opposite, parallel, and adjacent The sum of the angles in every quadrilateral is Find the measure of a missing angle. Congruency: Shapes are congruent when they are exactly the same size and shape Shapes that are the same, but different size they are similar Review Topic: Inequalities Identify an equality based on a given graph Write an inequality statement based on a graph Will I be able to use a calculator on the assessment? Yes, a calculator will be provided. What can I do to prepare for the assessment? Ask questions BEFORE the assessment Review class notes and homework assignments Complete the attached practice Use 6 th grade IXL to practice Quadrilaterals Congruency Inequalities Z.9: Classify quadrilaterals Z.14: Congruent & similar figures W.1: Inequalities on a number line (7 th grade)
2 Quadrilaterals and Congruency Review SOL 6.12 and 6.13 Consider the following quadrilaterals: Parallelogram Square Trapezoid Rhombus Rectangle Kite 1) Which of the figures have four right angles? 2) Which of the figures are always parallelograms? 3) Which of the figures has one pair 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 that are parallel and congruent? 8) Which of the figures have diagonal bisectors? 9) Which of the figures have adjacent sides that are congruent? 10) Which of the figures have opposite angles that are congruent? 11) The sum of the angles for every quadrilateral is degrees. 12) Identify EACH false statement. A. Every rhombus is a square. B. Every rectangle is a parallelogram. C. Every square is a rectangle. D. Every trapezoid is a parallelogram. E. A parallelogram is a square F. A trapezoid has 2 pairs of parallel sides
3 13) 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. 14) Henry drew a quadrilateral with exactly one pair of parallel sides. What figure did Henry draw? A. Rhombus B. Parallelogram C. Kite D. Trapezoid 15) The measure of three angles of a quadrilateral are,, and. What is the measure of the fourth angle? 16) A quadrilateral contains a right angle and two angles measuring and. What is the measure of the fourth angle? 17) A quadrilateral contains two right angles and a third angle that measures. What is the measure of the fourth angle?
4 18) What shape belongs in the overlapping section of the Venn Diagram? (Hint: Which shape is both a rhombus and a rectangle?) Rectangle Rhombus 19) Consider the following shape: What is the best name of the shape? A. trapezoid B. rhombus C. rectangle D. parallelogram 20) Consider the group of shapes: Identify EACH characteristic the shapes have in common. A) Two pairs of parallel sides B) One pair of parallel sides C) All side congruent D) Two pair of congruent sides E) Opposite angles congruent F) At least one right angle
5 21) If two figures are congruent, they have the same and. 22) Which pair of polygons appear to be congruent? A. B. C. D. 23) 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.
6 24) An angle has a measure of. What is the measure of an angle congruent to this angle? degrees 25) 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 26) A square has a side with a length of 5 2. What is the length of a side parallel to the side? A. 5 B. 10 C. 25 D. Impossible to determine. 27) ABCD is a rectangle. A B D C Which of the following is true? A. AD = BC B. AC = AB C. AB CD D. BD = CD 28) Write the inequality statement for the graph below.
7 29) Which two inequalities correctly represent the graph? A x < 4 and 4 >x C x < 4 and 4 <x B x 4 and 4 x D x 4 and 4 x 30) Identify each inequality that is represented by the graph shown. m 12 m > m 12 < m 12 m m 12 m < > m
8 Answer Key: 1. Square, rectangle 2. Square, rhombus, rectangle, parallelogram 3. Trapezoid 4. Square 5. Trapezoid, kite, parallelogram 6. Square, rhombus 7. Square, rhombus, rectangle, parallelogram 8. Square, rectangle 9. Kite 10. Parallelogram, square, rectangle, rhombus, kite A, D, E, F 13. D 14. D degrees degrees degrees 18. Square 19. D 20. B 21. Size and shape 22. B 23. C degrees inches 26. C 27. A A 30. and
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