Name
Lesson 18.7
Symmetry
Draw all lines of symmetry. Then tell whether each figure has
rotational symmetry by writing yes or no.
1.
2.
3.
4.
5.
6.
7.
8.
Each figure has rotational symmetry. Tell the fraction and the
angle measure of each turn.
10.
9.
11.
12.
Problem Solving and Test Prep
13. Does a right triangle have lines of
symmetry? rotational symmetry?
14. Brandon makes a design that has
1
rotational symmetry every __-turn.
2
What angle measure describes the
design’s symmetry?
15. Which figure has rotational
symmetry?
16. Which figure has rotational
symmetry?
A
C
A
C
B
D
B
D
PW121
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PH_C18_L07.indd PW121
6/27/07 9:57:05 AM
Name
Lesson 18.7
Name
Lesson 19.1
Classify Triangles
Symmetry
Classify each triangle. Write isosceles, scalene, or equilateral.
Draw all lines of symmetry. Then tell whether each figure has
rotational symmetry by writing yes or no.
1.
2.
1.
3.
2.
8 ft
4.
4 ft
3.
7 cm
7 ft
9m
5m
7 cm
9m
7 cm
yes
no
yes
no
7.
6.
5.
Equilateral
Scalene
Isosceles
8.
Classify each triangle. Write acute, right, or obtuse.
4.
yes
yes
no
5.
6.
no
Each figure has rotational symmetry. Tell the fraction and the
angle measure of each turn.
10.
9.
11.
Right
Obtuse
12.
Acute
Problem Solving and Test Prep
For 7–9, use the models of the sails.
1
_,
5
72ⴗ; 2_5 ,
144ⴗ; 3_5 ,
216ⴗ; 4_5 ,
288ⴗ
_1 ,
4
_1 ,
2
_1 ,
2
90ⴗ;
180ⴗ; 3_4 , 270ⴗ
180ⴗ
13. Does a right triangle have lines of
1 line of symmetry; no
rotational symmetry.
B
6 in.
Scalene
School A
17 in.
8. What type of triangle is school B’s flag?
Isosceles
18 in.
10 in.
9. Two of the angles in school A’s flag
18 in.
10. A triangle has two equal sides. What
type of triangle is it?
180ⴗ
16. Which figure has rotational
A scalene
C
11. James draws a triangle with angles that
D
measure 45⬚ and 60⬚. What is the
C
measure of the third angle?
A 105⬚
B
obtuse
B
90⬚
A
C
A
C
C
acute
C
75⬚
B
D
B
D
D isosceles
Circled problems are suggested homework problems.
PW121
6/27/07 9:57:05 AM
PW122
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PH_C19_L1.indd PW122
Lesson 18.7
Item
D 45⬚
Circled problems are suggested homework problems.
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PH_C18_L07.indd PW121
School B
85ⴗ
What angle measure describes the
design’s symmetry?
symmetry?
21 in.
7. What type of triangle is school A’s flag?
measure 75⬚ and 20⬚. What is the
measure of the third angle?
14. Brandon makes a design that has
1
rotational symmetry every __-turn.
2
symmetry? rotational symmetry?
symmetry?
45ⴗ; 1_4 , 90ⴗ;
3
_ , 135ⴗ; 1_ ,
8
2
180ⴗ; 5_8 , 225ⴗ;
3
_, 270ⴗ; 7_ , 315ⴗ
8
4
Problem Solving and Test Prep
15. Which figure has rotational
_1 ,
8
6/15/07 12:18:10 PM
Lesson 19.1
Suggested rationale
Item
Suggested rationale
1
find three lines of symmetry
1
classify triangle according to
side
2
figure has no rotational
symmetry
2
classify triangle according to
side
4
figure has rotational
symmetry
3
classify triangle according to
side
7
find one line of symmetry
4
classify triangle according to
angle
8
find one line of symmetry
5
classify triangle according to
angle
9
find the angle measures of a
figure with rotational
symmetry
6
classify triangle according to
angle
7
classify triangle according to
side
11
find the angle measures of a
figure with rotational
symmetry
9
13
identify whether or not a
right triangle has lines of
symmetry
find the missing angle of a
triangle to solve word
problem
11
find the missing angle of a
triangle to solve word
problem in test prep format
16
find the figure with
rotational symmetry
PW121-PW122
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_RatB.indd PW121
7/2/07 2:44:44 PM