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Lines and Line Segments Write the Name for Each Name Practice 11-1 Lines and Line Segments Write the name for each. 1. 2. 3. 4. Draw a28768_053a picture of each. 28768_053b 28768_053c 28768_053d 5. Parallel lines 6. Line segment 7. Intersecting lines 8. Line For 9 and 10, use the map at the right. Tell if the trails named look like intersecting lines or parallel lines. 9. Treetop and Sand Dune Treetop Trail Nature ail Center er Tr flow ild 10. Sand Dune and Wildflower W Sand Dune Trail 11. What is the difference between a line and a line segment? SF_PR03_08_18 12. How many times does a pair of intersecting lines cross? A Never B 1 time C 2 times D 3 times P 11•1 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 MTH12_ANC3_TRM_P11_01.indd 21 1/4/11 6:45 PM Name Practice 11-2 Angles Tell if each angle is right, acute, or obtuse. 1. 2. 3. 4. SF_PR03_08_22 SF_PR03_08_20 SF_PR03_08_23 Draw a picture of each. SF_PR03_08_21 5. Acute angle 6. Ray 7. Right angle 8. Obtuse angle 9. How are perpendicular lines and intersecting lines alike? How are they different? 10. Reasoning Jill said that an angle is made of any two rays. Is she correct? Explain. 11. At what time do the hands of a clock form an acute angle? A 2:00 B 4:00 C 6:00 D 8:00 P 11•2 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 MTH12_ANC3_TRM_P11_02.indd 21 24/02/11 6:35 AM Name Practice 11-3 Polygons Name the polygon. Write if it is convex or concave. 1. 2. 3. 4. 28768_065a.eps 28768_065c.eps 28768_065b.eps 28768_065d.eps Is each shape a polygon? If it is not, explain why. 5. 6. 7. 8. 28768_065e.eps SF_PR03_08_27 SF_PR03_08_26 28768_065f.eps 9. Draw one diagonal in the shape 10. Juan said that the two shapes for Exercise 8. below are quadrilaterals. Is he correct? Explain. 28768_065g.eps SF_PR03_08_27 11. Reason Two sides of a polygon are parallel line segments. What is the least number of sides the polygon could have? 12. How many more sides does an octagon have than a pentagon? A 1 B 2 C 3 D 4 P 11•3 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 MTH12_ANC3_TRM_P11_03.indd 21 2/23/11 4:40 PM Name Practice 11-4 Triangles Tell if each triangle is equilateral, isosceles, or scalene. 1. 2. 3. 4. SF_PR03_08_39 28768_072a.eps SF_PR03_08_34 SF_PR03_08_32 Tell if each triangle is right, acute, or obtuse. 5. 6. 7. 8. SF_PR03_08_35 28768_072b.eps 28768_072c.eps SF_PR03_08_36 9. Write two names that describe the triangle shown at the right. 10. Can a triangle have 2 right angles? 11. Reason What is the least number Explain. of acute angles that a triangle can have? 12. Which two names describe the triangle at the right? A Equilateral, acute B Equilateral, right C Scalene, acute D Isosceles, obtuse P 11•4 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 SF_PR03_08_61 MTH12_ANC3_TRM_P11_04.indd 21 09/05/11 5:40 PM Name Practice 11-5 Quadrilaterals Write as many names as possible for each quadrilateral. 1. 2. 3. 4. SF_PR03_08_41 SF_PR03_08_40 SF_PR03_08_42 28768_079a.eps In 5–8, write the name that best describes the quadrilateral. 5. A parallelogram with four equal 6. A rectangle with four right angles sides, but no right angles and all sides the same length 7. A quadrilateral that has exactly 8. A parallelogram with four right one pair of parallel sides angles 9. Can a rectangle also be a rhombus? Explain. 10. Which is the correct name for this shape? A Rhombus B Trapezoid C Parallelogram D Rectangle P 11•5 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 SF_PR03_08_47 MTH12_ANC3_TRM_P11_05.indd 21 1/31/11 11:16 PM Name Practice 11-6 Combining and Separating Shapes In 1–3, draw one or more diagonals to make the new shapes named. 1. 2. 3. Make 2 triangles Make 2 different Make 2 triangles and and 1 trapezoid. sized triangles. 1 rhombus. For 4–6, use Lenny’s shapes. You can trace and cut them Lenny’s Shapes out if you need to. 4. Which 3 identical shapes put together will make this shape? 5. Which 4 identical shapes put together will make this shape? 6. Which 4 identical shapes put together will make this shape? 7. Maria drew a diagonal on the shape below to separate it into two shapes. Which two shapes did she make? A 2 rhombuses B 2 trapezoids C 2 triangles D 2 parallelograms 8. What different shapes can you make by cutting a hexagon on one or more of its diagonals? Give at least two examples. P 11•6 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 MTH12_ANC3_TRM_P11_06.indd 1 24/02/11 6:34 AM Name Practice 11-7 Making New Shapes In 1–4, trace and carefully cut out each shape. Then cut along the dashed lines. Rearrange the pieces to make a new shape. Name the new shape. 1. 2. 3. 4. 5. Reason Lena is making a puzzle. She cuts a shape into two pieces and rearranges them to make the shape below. Which shape did she start with? A B C D 6. Draw a picture to show how you can rearrange the four triangles cut from a rectangle to make a concave hexagon. P 11•7 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 MTH12_ANC3_TRM_P11_07.indd 1 2/22/11 4:45 PM Name Practice 11-8 Problem Solving: Solve a Simpler Problem 1. Jorge sees that there are small 2. Sandi counted all the and large squares in the tile parallelograms of any size she design below. How many squares could find in the design below. are there in all in the design? How many parallelograms are there in all? _______ squares in all _______ parallelograms in all For 3 and 4, use the window design at the right. G3.FL.TRM.12-2.Topic12.p.29-02 3. Ling sees that in this window design, there are rectangles of different sizes. How many rectangles in all are in the design? _______ rectangles in all 4. Explain the strategy you used to solve Problem 3. Draw a picture. G3.FL.TRM.PR12-2.Topic12.p29.03 G3.FL.TRM.PR12-2.Topic12.p29.04 5. Eric’s notebook has 30 pages. He wants to write a number on each page. How many digits will he write when he numbers all the pages in the notebook? A 9 B 29 C 49 D 51 P 11•8 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 MTH12_ANC3_TRM_P11_08.indd 21 24/02/11 6:33 AM Name Practice 11-9 Problem Solving: Make and Test Generalizations In 1–4, make a generalization for each set of polygons. 1. 2. 3. 4. 28768_085a.eps 28768_085b.eps 5. How are all of 28768_085c.epsthese 6. What is the same in all of these 28768_085d.eps numbers alike? polygons? 3, 5, 7, 11, 13 A They are convex. B They are rhombuses. C They are quadrilaterals.28768_085e.eps D They have right angles. 7. Is this generalization true? If not, draw a picture to show why not. All triangles have at least 2 acute angles. P 11•9 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 MTH12_ANC3_TRM_P11_09.indd 21 24/02/11 6:32 AM Name Topic 11 Test 1. Felipe cut this parallelogram on 3. Chenoa made a place mat in the dashed lines and rearranged the shape of a pentagon. Which all of the pieces to make a new one shows the shape of Chenoa’s shape. Which is NOT a shape he place mat? (11-3) could have made? (11-7) A A C B B D C 2. Which of these clock faces has hands that form an obtuse angle? (11-2) A D 11 12 1 10 2 9 3 8 4 756 4. Which statement best describes all B of these polygons? (11-9) 11 12 1 10 2 9 3 8 4 756 C 11 12 1 10 2 9 3 A They have 4 sides. 8 4 756 B They have exactly 1 acute angle. C They have a right angle. D 11 12 1 10 2 D They have 2 obtuse angles. 9 3 8 4 756 Topic 11 1 of 3 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 MTH12_ANC3_TRM_TT11_EM.indd 1 8/18/11 1:18 PM Name 5. Which polygon describes the shape 6. Name three different types of of this stop sign? (11-3) quadrilaterals that have two pairs of parallel sides. (11-5) A Pentagon B Octagon C Hexagon 7. Look at the map of the town below. D Quadrilateral Which two streets intersect? (11-1) e Maple DrivPine Street Forest Avenue Lake Street Topic 11 12 of 3 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 MTH12_ANC3_TRM_TT11_EM.indd 2 8/18/11 1:19 PM Name 8. How many squares are in 11. Gloria wanted to cut the shape this tile design? (11-8) below into new shapes. She cut along two diagonals from the same vertex. Draw line segments to show where she may have cut. (11-6) 9. Jen drew this triangle on the board. What kind of triangle did she draw? (11-4) What new shapes were made by Gloria’s cuts? 12.
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