Ace Your Math Test Reproducible Worksheets These worksheets practice math concepts explained in Geometry (ISBN: 978- 0-7660-3783-0), written by Rebecca Wingard–Nelson. Ace Your Math Test reproducible worksheets are designed to help teachers, parents, and tutors use the books from the Ace Your Math Test series in the classroom and the home. The answers to the problems are contained in the Answers section starting on page 26. Teachers, librarians, tutors, and parents are granted permission and are encouraged to make photocopies of these worksheets. These worksheets are reproducible for educational use only and are not for resale. © 2012 by Enslow Publishers, Inc. Visit www.enslow.com and search for the Ace Your Math Test series to download worksheets for the following titles: Addition and Subtraction 978-0-7660-3778-6 Fractions and Decimals 978–0–7660–3780–9 Geometry 978-0-7660-3783-0 Multiplication and Division 978–0–7660–3779–3 Percents and Ratios 978–0–7660–3781–6 Pre–Algebra and Algebra 978–0–7660–3782–3 Titles in this series can be purchased directly from: Enslow Publishers, Inc. 40 Industrial Road, Box 398 Berkeley Heights, NJ 07922–0398 Phone: 1–800–398–2504 email: [email protected] Web Page: http://www.enslow.com Name ­­­­­­­­­­­­­­­­_________­­­­­­­_________________________ Date ___________________ Basic Terms Test Multiple Choice Show Your Work 1. A line is __________. A B C a. an exact location b. an unending straight set of points c. a distance between two points D d. a flat surface that extends in all directions Use the diagram above for problems 5-6. 2. Part of a line with one endpoint that 5. Name three rays. extends in the other direction is called a ______. a. line segment b. ray c. plane d. vertex 6. What figure intersects points A and D? M N P R Explain Your Answer S 7. If line XY is cut at points X and Y, what type of figures are formed? Explain. 3. Which of the following two points can NOT be used to name a ray in the diagram above? a. M and N b. M and P c. N and P d. P and S 4. How many different line segments can be named using the diagram above? a. 1 b. 3 c. 5 d. 7 © Enslow Publishers, Inc. Sheets are reproducible for educational use only. 2 Name ­­­­­­­­­­­­­­­­_________­­­­­­­_________________________ Date ___________________ Line Relationships Test Multiple Choice Show Your Work 1. Lines in the same plane that never 5. Define perpendicular lines. intersect are __________ lines. a. intersecting b. oblique c. parallel d. perpendicular 6. Draw oblique lines CD and FG. t f s 7. Lines m, n, and p are in the same plane. Lines m and p are perpendicular. Line p g is parallel to line n. How are lines m and n related? Explain Your Answer 2. Which two lines are parallel? 8. Explain the difference between oblique a. s and t b. s and g lines and skew lines. c. f and t d. f and g 3. Which two lines appear to be perpendicular? a. f and g b. f and t c. s and t d. g and s 4. Which two lines are oblique? a. f and g b. f and t c. s and t d. g and t © Enslow Publishers, Inc. Sheets are reproducible for educational use only. 3 Name ­­­­­­­­­­­­­­­­_________­­­­­­­_________________________ Date ___________________ Angles Test Multiple Choice Show Your Work 1. The common endpoint where two rays 5. A _________ angle has a measure of 90°. meet to form an angle is called a _____. a. line b. midpoint c. parallel d. vertex 6. Name the angle in three ways. K 2. Which of the following is a measure of an acute angle? 2 L P a. 18° b. 90° c. 107° d. 192° 3. Which is an obtuse angle? a. b. Explain Your Answer 7. Define and draw an example of an acute angle. c. d. 4. Categorize this angle. a. acute b. right c. obtuse d. straight © Enslow Publishers, Inc. Sheets are reproducible for educational use only. 4 Name ­­­­­­­­­­­­­­­­_________­­­­­­­_________________________ Date ___________________ Angle Relationships Test Multiple Choice Show Your Work 1. ________ angles share a vertex and 6. What is the measure of /UVX? a side. W 115° a. adjacent b. complementary U 32° X c. congruent d. supplementary V 2. Angles 1 and 2 are complementary. The measure of angle 1 is 31°. What is the measure of angle 2? 7. What is the measure of /LNP? L a. 29° b. 59° c. 121° d. 149° M 145° P N 1 2 48° 42° 3 4 132° 48° Explain Your Answer 8. Can angles be both adjacent and 3. Which angle is congruent to /4? complementary? Explain. a. /1 b. /2 c. /3 d. None of the above. 4. Which angle is supplementary to /2? a. /1 b. /3 c. /4 d. None of the above. 5. Which angle is complementary to /1? a. /2 b. /3 c. /4 d. None of the above. © Enslow Publishers, Inc. Sheets are reproducible for educational use only. 5 Name ­­­­­­­­­­­­­­­­_________­­­­­­­_________________________ Date ___________________ Intersecting Lines Test Multiple Choice Show Your Work 1. Linear pairs are always ________. 1 2 a. complementary 4 3 b. congruent c. supplementary d. vertical 5. What kind of angles are /1 and /2? 1 2 6. If the measure of /2 is 108°, what is 4 3 the measure of /4? 2. What kind of angles are /2 and /4? 7. If the measure of /2 is 108°, what is the measure of /3? a. adjacent b. complementary c. supplementary Explain Your Answer d. vertical 8. Can the angles of a linear pair be congruent? Explain. 3. If the measure of /1 is 55°, what is the measure of /3? a. 35° b. 55° c. 125° d. 145° 4. If the measure of /2 is 132°, what is the measure of /3? a. 42° b. 48° c. 132° d. 148° © Enslow Publishers, Inc. Sheets are reproducible for educational use only. 6 Name ­­­­­­­­­­­­­­­­_________­­­­­­­_________________________ Date ___________________ Transversals Test Multiple Choice Show Your Work 1 2 1 2 3 4 5 3 4 6 5 6 7 7 8 8 1. Which angle corresponds to /3? 6. Name two pairs of alternate exterior a. /1 b. /2 c. /5 d. /7 angles. 2. Angles 4 and 5 are ________ angles. a. alternate interior b. alternate exterior 7. The measure of /1 is 76°. What are the c. corresponding d. vertical measures for /2, /7, and /8? 3. Which set of angles has the same measure as /3? a. /1, /5, and /7 b. /2, /6, and /7 c. /4, /5, and /7 d. /2, /4, and /6 Explain Your Answer 8. Define a transversal in geometry. 4. Angles 1 and ___ are supplementary. a. 4 b. 5 c. 7 d. 8 5. If the measure of /2 is 110°, what is the measure of /8? a. 20° b. 70° c. 90° d. 110° © Enslow Publishers, Inc. Sheets are reproducible for educational use only. 7 Name ­­­­­­­­­­­­­­­­_________­­­­­­­_________________________ Date ___________________ Polygons Test Multiple Choice Show Your Work 6. What is an open figure? 1 2 3 4 5 6 7. Draw a convex hexagon. 1. How many of the figures shown appear to be regular polygons? a. 2 b. 3 c. 4 d. 5 Explain Your Answer 2. How many figures are concave polygons? 8. Explain the difference between a plane a. 1 b. 2 c. 3 d. 5 figure and a polygon. 3. Figure 4 is a(n) __________. a. regular hexagon b. convex hexagon c. regular octagon d. concave octagon 4. How many vertices does figure 1 have? a. 0 b. 2 c. 4 d. 6 5. How many figures are plane figures? a. 3 b. 4 c. 5 d. 6 © Enslow Publishers, Inc. Sheets are reproducible for educational use only. 8 Name ­­­­­­­­­­­­­­­­_________­­­­­­­_________________________ Date ___________________ Triangles Test Multiple Choice Show Your Work B C 5. Classify the triangle by both angle measure and side length. A D E 6. Maggie has three lengths of string. The 1. Which of the following names the shaded lengths are 6 inches, 7 inches, and triangle? 14 inches. Can Maggie make a triangle from the three lengths of string? a. nABD b. nCEB c. nDEB d. nBAD 2. By side length, how is nBED classified? a. acute b. equilateral c. isosceles d. scalene Explain Your Answer 7. Why can an equilateral triangle also be 3. Classify nBCE by angle measure. called an equiangular triangle? a. acute b. right c. scalene d. obtuse 4. Which of the following three lengths could NOT be the sides of a triangle? a. 3 cm, 8 cm, 10 cm b. 10 cm, 12 cm, 18 cm c. 9 cm, 7 cm, 19 cm d. 15 cm, 15 cm, 28 cm © Enslow Publishers, Inc. Sheets are reproducible for educational use only. 9 Name ­­­­­­­­­­­­­­­­_________­­­­­­­_________________________ Date ___________________ Triangle Angle Sums Test Multiple Choice Show Your Work 1. How many degrees are in the third angle Find the measure of the missing angles. of a triangle whose other two angles are 5. 40° and 65°? a. 35° b. 55° c. 75° d. 95° 53° 31° 2. y 6. 62° 61° 49° y = _____ a. 60° b. 70° c. 80° d. 110° 7. 3. One of the angles in a triangle has a 82° measure of 102°. What type of angles can the other two angles be? a. A right angle and an acute angle Explain Your Answer b.