Name Practice 11-1 Lines and Line Segments€¦ · 24.04.2012 · 28768_079a.eps 9. Can a rectangle also be a rhombus? Explain. 10. Which is the correct name for this shape? A Rhombus

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Treetop Trail

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Sand Dune Trail

Wildflower Trail

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Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3P 11•1

Lines and Line SegmentsWrite the name for each.

1. 2. 3. 4.

Draw a picture of each.

5. Parallel lines 6. Line segment

7. Intersecting lines 8. Line

9. Treetop and Sand Dune

10. Sand Dune and Wildflower

11. What is the difference between a line and a line segment?

12. How many times does a pair of intersecting lines cross?

A Never B 1 time C 2 times D 3 times

For 9 and 10, use the map at the right. Tell if the trails namedlook like intersecting lines or parallel lines.

Practice

11-1

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AnglesTell if each angle is right, acute, or obtuse.

1. 2. 3. 4.

Draw a picture of each.

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

Practice

11-2

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PolygonsName the polygon. Write if it is convex or concave.

1. 2. 3. 4.

Is each shape a polygon? If it is not, explain why.

5. 6. 7. 8.

9. Draw one diagonal in the shape for Exercise 8.

10. Juan said that the two shapes below are quadrilaterals. Is he correct? Explain.

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

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Practice

11-3


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TrianglesTell if each triangle is equilateral, isosceles, or scalene.

1. 2. 3. 4.

Tell if each triangle is right, acute, or obtuse.

5. 6. 7. 8.

9. Write two names that describe the triangle shown at the right.

10. Can a triangle have 2 right angles? Explain.

11. Reason What is the least number 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

Practice

11-4


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QuadrilateralsWrite as many names as possible for each quadrilateral.

1. 2. 3. 4.

In 5–8, write the name that best describes the quadrilateral.

5. A parallelogram with four equal sides, but no right angles

7. A quadrilateral that has exactly one pair of parallel sides

6. A rectangle with four right angles and all sides the same length

8. A parallelogram with four right angles

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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

Practice

11-5


Lenny’s Shapes

Name


Combining and Separating ShapesIn 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 out if you need to.

4. Which 3 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.

Practice

11-6


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Making New ShapesIn 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.

Practice

11-7


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Problem Solving: Solve a Simpler Problem 1. Jorge sees that there are small

and large squares in the tile design below. How many squares are there in all in the design?

_______ squares in all

2. Sandi counted all the parallelograms of any size she could find in the design below. How many parallelograms are there in all?

_______ parallelograms in all

For 3 and 4, use the window design at the right.

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.

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

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Practice

11-8


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7. Is this generalization true? If not, draw a picture to show why not.All triangles have at least 2 acute angles.

Problem Solving: Make and Test GeneralizationsIn 1–4, make a generalization for each set of polygons.

1.

3.

5. How are all of these numbers alike?

3, 5, 7, 11, 13

2.

4.

6. What is the same in all of these polygons?

A They are convex.

B They are rhombuses.

C They are quadrilaterals.

D They have right angles.

Practice

11-9


Name

Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 31 of 3Topic 11

1. Felipe cut this parallelogram on the dashed lines and rearranged all of the pieces to make a new shape. Which is NOT a shape he could have made? (11-7)

A C

B D

2. Which of these clock faces has hands that form an obtuse angle? (11-2)

A 12

67 54

2111

10

839

B 12

67 54

2111

10

839

C 12

67 54

2111

10

839

D 12

67 54

2111

10

839

3. Chenoa made a place mat in the shape of a pentagon. Which one shows the shape of Chenoa’s place mat? (11-3)

A

B

C

D

4. Which statement best describes all of these polygons? (11-9)

A They have 4 sides.

B They have exactly 1 acute angle.

C They have a right angle.

D They have 2 obtuse angles.

Topic 11

Test

MTH12_ANC3_TRM_TT11_EM.indd 1 8/18/11 1:18 PM

Forest Avenue

Pine StreetMaple Drive

Lake Street

Name

Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 31 of 3Topic 11 1 of 3of 3of2 of 3

5. Which polygon describes the shape of this stop sign? (11-3)

A Pentagon

B Octagon

C Hexagon

D Quadrilateral

6. Name three different types of quadrilaterals that have two pairs of parallel sides. (11-5)

7. Look at the map of the town below. Which two streets intersect? (11-1)


Name

Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3

8. How many squares are in this tile design? (11-8)

9. Jen drew this triangle on the board. What kind of triangle did she draw? (11-4)

10. Explain why this shape cannot be called a square. (11-5)

11. Gloria wanted to cut the shape 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)

What new shapes were made by Gloria’s cuts?

12. How many diagonals can you draw from the vertex of an octagon? (11-3)

13. Name the polygon shown below. (11-3)

Topic 11 3 of 3


Name

Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 31 of 3Topic 11

1. Felipe cut this parallelogram on the dashed lines and rearranged all of the pieces to make a new shape. Which is NOT a shape he could have made? (11-7)

A C

B D

2. Which of these clock faces has hands that form an obtuse angle? (11-2)

A 12

67 54

2111

10

839

B 12

67 54

2111

10

839

C 12

67 54

2111

10

839

D 12

67 54

2111

10

839

3. Chenoa made a place mat in the shape of a pentagon. Which one shows the shape of Chenoa’s place mat? (11-3)

A

B

C

D

4. Which statement best describes all of these polygons? (11-9)

A They have 4 sides.

B They have exactly 1 acute angle.

C They have a right angle.

D They have 2 obtuse angles.

Topic 11

Test


Forest Avenue

Pine StreetMaple Drive

Lake Street

Sample answer: rectangle, rhombus, square

Maple Drive and Pine Street

Name

Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 31 of 3Topic 11 1 of 3of 3of2 of 3

5. Which polygon describes the shape of this stop sign? (11-3)

A Pentagon

B Octagon

C Hexagon

D Quadrilateral

6. Name three different types of quadrilaterals that have two pairs of parallel sides. (11-5)

7. Look at the map of the town below. Which two streets intersect? (11-1)


Name

Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 3

8. How many squares are in this tile design? (11-8)

9. Jen drew this triangle on the board. What kind of triangle did she draw? (11-4)

10. Explain why this shape cannot be called a square. (11-5)

11. Gloria wanted to cut the shape 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)

What new shapes were made by Gloria’s cuts?

12. How many diagonals can you draw from the vertex of an octagon? (11-3)

13. Name the polygon shown below. (11-3)

Threetriangles

11

Itdoesnothaverightangles.

Isosceles

Pentagon

5

Topic 11 3 of 3


Documents

Name Practice 11-1 Lines and Line Segments€¦ · 24.04.2012 · 28768_079a.eps 9. Can a rectangle also be a rhombus? Explain. 10. Which is the correct name for this shape? A Rhombus