Grade 7 Chapter 9

Multiple Choice Identify the choice that best completes the statement or answers the question.

____ 1. Find the measure of AEB for mBEC = 127 .

127o A C E

a. 127 b. 254 c. 106 d. 53

____ 2. Find the measure of AED for mBEC = 96 . B

96 o A C E

D a. 84 b. 168 c. 192 d. 96

____ 3. In the figure, . Find the measure of .

50o E G

a. 40 b. 110 c. 50 d. 90 ____ 4. Classify the triangle with sides of length 6 inches, 8 inches, and 3 inches. a. equilateral b. isosceles c. straight d. scalene ____ 5. Classify the triangle with angles measuring 113 , 47 , and 20 . a. right b. straight c. obtuse d. acute Name all the quadrilaterals that have the given property.

____ 6. two pairs of parallel sides and all angles congruent a. trapezoid c. rhombus, square b. rectangle, square d. rhombus ____ 7. four 90 angles a. rectangle, square c. rhombus, square b. parallelogram d. rhombus ____ 8. four congruent sides and four congruent angles a. rectangle, square c. rhombus, square b. rhombus d. square ____ 9. David designs floor tiles. His latest design is shaped as a regular pentagon. Write a formula for the perimeter of the tile in terms of the length of a side. Evaluate the formula for the side length of 3 inches. a. P = 5s; 15 inches c. P = 5 + s; 9 inches b. P = 5 + s; 8 inches d. P = 5s; 18 inches

In the figures, . A Z

C D X Y

____ 10. Name the congruent angles. a. c. b. d. ____ 11. Name the congruent sides. a. c. b. d.

____ 12. If CD = 26 mm, what is XY? a. 28 mm b. 25 mm c. 4 mm d. 26 mm

Write a congruence statement for the pair of triangles.

____ 13. o o o o 55 60 55 60 F 5 cm Z N 5 cm P a. by ASA c. by SAS b. by SAS d. by ASA B R

____ 14. 5 ft 5.5 ft 5 ft 5.5 ft

Z Y O W 3 ft 3 ft a. by SAS c. by SSS b. by SSS d. by SAS ____ 15. The diagram shows the dimensions of a triangular garden at the park. If another triangular garden spot is congruent to this triangle, what is the perimeter of the other garden?

28 ft 43 ft

Diagram not to scale.

a. 84 feet b. 51 feet c. 88 feet d. 129 feet

Find the circumference of the circle. Use  3.14.

7 cm ____ 16.

a. 21.98 cm b. 38 cm c. 7 cm d. 3.5 cm

3 m ____ 17.

a. 3 m b. 18.84 m c. 6 m d. 28.26 m

____ 18. Write a rule to describe the translation of to . y

–8 –4 4 8 x B –4 C B' –8 C'

a. c. b. d.

____ 19. How many lines of symmetry does the figure have?

a. 0 b. 1 c. 2 d. 4 ____ 20. State whether the figure has rotational symmetry. If so, what is the angle of rotation? Round your answer to the nearest tenth of a degree, if necessary.

a. yes; 45 b. yes; 11.3 c. yes; 22.5 d. no Grade 7 Chapter 9 Answer Section

MULTIPLE CHOICE

1. ANS: D PTS: 1 DIF: L2 REF: 9-2 Angle Relationships and Parallel Lines OBJ: 9-2.1 Adjacent and Vertical Angles STA: CA 7.MG.3.1 TOP: 9-2 Example 1 KEY: adjacent angles | supplementary angles | measure of an angle 2. ANS: D PTS: 1 DIF: L2 REF: 9-2 Angle Relationships and Parallel Lines OBJ: 9-2.1 Adjacent and Vertical Angles STA: CA 7.MG.3.1 TOP: 9-2 Example 1 KEY: adjacent angles | supplementary angles | measure of an angle 3. ANS: C PTS: 1 DIF: L3 REF: 9-2 Angle Relationships and Parallel Lines OBJ: 9-2.2 Relating Angles and Parallel Lines STA: CA 7.MG.3.1 TOP: 9-2 Example 2 KEY: adjacent angles | alternate interior angles | congruent angles | corresponding angles | measure of an angle | parallel lines | vertical angles 4. ANS: D PTS: 1 DIF: L3 REF: 9-3 Classifying Polygons OBJ: 9-3.1 Classifying Triangles STA: CA 7.MG.2.1 | CA 7.MG.3.1 TOP: 9-3 Example 1 KEY: classifying triangles | scalene triangle 5. ANS: C PTS: 1 DIF: L3 REF: 9-3 Classifying Polygons OBJ: 9-3.1 Classifying Triangles STA: CA 7.MG.2.1 | CA 7.MG.3.1 TOP: 9-3 Example 1 KEY: classifying triangles | obtuse triangle 6. ANS: B PTS: 1 DIF: L2 REF: 9-3 Classifying Polygons OBJ: 9-3.2 Classifying Quadrilaterals STA: CA 7.MG.2.1 | CA 7.MG.3.1 TOP: 9-3 Example 2 KEY: classifying polygons | rectangle | square 7. ANS: A PTS: 1 DIF: L2 REF: 9-3 Classifying Polygons OBJ: 9-3.2 Classifying Quadrilaterals STA: CA 7.MG.2.1 | CA 7.MG.3.1 TOP: 9-3 Example 2 KEY: classifying polygons | rectangle | square 8. ANS: D PTS: 1 DIF: L2 REF: 9-3 Classifying Polygons OBJ: 9-3.2 Classifying Quadrilaterals STA: CA 7.MG.2.1 | CA 7.MG.3.1 TOP: 9-3 Example 2 KEY: classifying polygons | square 9. ANS: A PTS: 1 DIF: L2 REF: 9-3 Classifying Polygons OBJ: 9-3.2 Classifying Quadrilaterals STA: CA 7.MG.2.1 | CA 7.MG.3.1 TOP: 9-3 Example 3 KEY: formula | perimeter | quadrilateral | problem solving | word problem | regular polygon 10. ANS: C PTS: 1 DIF: L2 REF: 9-5 Congruence OBJ: 9-5.1 Identifying Corresponding Parts STA: CA 7.MG.3.4 TOP: 9-5 Example 1 KEY: congruent figures | corresponding parts | corresponding angles | congruent angles 11. ANS: B PTS: 1 DIF: L2 REF: 9-5 Congruence OBJ: 9-5.1 Identifying Corresponding Parts STA: CA 7.MG.3.4 TOP: 9-5 Example 1 KEY: congruent figures | corresponding parts | corresponding sides | congruent sides 12. ANS: D PTS: 1 DIF: L2 REF: 9-5 Congruence OBJ: 9-5.1 Identifying Corresponding Parts STA: CA 7.MG.3.4 TOP: 9-5 Example 1 KEY: congruent figures | corresponding sides | congruent sides 13. ANS: A PTS: 1 DIF: L2 REF: 9-5 Congruence OBJ: 9-5.2 Identifying Congruent Triangles STA: CA 7.MG.3.4 TOP: 9-5 Example 2 KEY: congruent angles | congruent figures | congruent sides | corresponding angles | corresponding parts | corresponding sides | ASA congruence 14. ANS: C PTS: 1 DIF: L2 REF: 9-5 Congruence OBJ: 9-5.2 Identifying Congruent Triangles STA: CA 7.MG.3.4 TOP: 9-5 Example 2 KEY: congruent angles | congruent figures | congruent sides | corresponding angles | corresponding parts | corresponding sides | SSS congruence 15. ANS: C PTS: 1 DIF: L3 REF: 9-5 Congruence OBJ: 9-5.2 Identifying Congruent Triangles STA: CA 7.MG.3.4 KEY: congruent figures | perimeter | problem solving | 16. ANS: A PTS: 1 DIF: L2 REF: 9-6 Circles OBJ: 9-6.1 Finding Circumference STA: CA 7.MG.2.1 | CA 7.MG.3.1 TOP: 9-6 Example 1 KEY: circle | circumference | diameter 17. ANS: B PTS: 1 DIF: L2 REF: 9-6 Circles OBJ: 9-6.1 Finding Circumference STA: CA 7.MG.2.1 | CA 7.MG.3.1 TOP: 9-6 Example 1 KEY: circle | circumference | radius 18. ANS: B PTS: 1 DIF: L2 REF: 9-8 Translations OBJ: 9-8.2 Describing Translations STA: CA 7.MG.3.2 | CA 7.MG.3.4 TOP: 9-8 Example 3 KEY: prime notation | transformation | translation 19. ANS: A PTS: 1 DIF: L2 REF: 9-9 Symmetry and Reflections OBJ: 9-9.1 Identifying Lines of Symmetry STA: CA 7.MG.3.2 | CA 7.MG.3.4 TOP: 9-9 Example 1 KEY: reflectional symmetry | line of symmetry 20. ANS: A PTS: 1 DIF: L2 REF: 9-10 Rotations OBJ: 9-10.2 Identifying Rotational Symmetry STA: CA 7.MG.3.4 TOP: 9-10 Example 2 KEY: angle of rotation | rotational symmetry