Download Geometry – Workbook 4, Part 1

page 1
Geometry – Workbook 4, Part 1
7.
Worksheet G4-1
page 148
1.
a)
b)
4 sides
4 vertices
124°
e)
104°
f)
57°
23 sides
Worksheet G4-4
page 153
4 sides
4 vertices
d)
5 sides
5 vertices
1.
d)
e)
8 sides
8 vertices
f)
g)
3 sides
3 vertices
h)
2.
h)
8 sides
8 vertices
i)
12 sides
12 vertices
j)
10 sides
10 vertices
k)
8 sides
8 vertices
l)
8 sides
8 vertices
a)
3.
2.- 4.
5.
a)
3 sides
b)
4 sides
c)
5 sides
d)
6 sides
a)
3
b)
4
c)
4
d)
3
greater than
b)
more than 90°
1.
a)
N
greater than
c)
less than 90°
b)
Y
greater than
d)
more than 90°
c)
N
less than
e)
more than 90°
d)
Y
greater than
f)
less than 90°
e)
Y
greater than
g)
more than 90°
f)
Y
greater than
h)
less than 90°
g)
Y
i)
more than 90°
h)
N
a)
Less than 90°
2.
Teacher to check.
b)
more than 90°
120°
3.
c)
less than 90°
30°
Teacher to check – in all
cases, the original lines
will still be parallel.
4.
b)
d)
more than 90°
150°
a)
less than 90°
60°
b)
less than 90°
40°
c)
more than 90°
120°
d)
d)
less than 90°
30°
e)
e)
more than 90°
140°
f)
more than 90°
110°
g)
less than 90°
45°
h)
more than 90°
135°
2.
Teacher to check.
a)
No right angles
d)
e)
f)
Letters
A, D
Quadrilaterals B, C
Shapes
Letters
Triangles
A
Quadrilaterals B, F,G
Pentagons
C, D
Hexagons
E, H
Answers will vary.
7.
8.
Answers will vary.
Worksheet G4-5
page 156
c)
6.
5.
less than 90°
1.
3.
4 curved sides
4 straight sides
Teacher to check
a)
The angles in (b) and (d)
are right angles.
b)
b)
b) and d) are half angles
4.
2 curved sides
2 straight sides
Triangles
b)
c)
6 sides
6 vertices
Shapes
6.
d)
1.
c)
m) 12 sides
12 vertices
5.
129°
Worksheet G4-2
page 150
g)
4.
c)
8.
f)
3.
Worksheet G4-3
page 152
3 sides
3 vertices
e)
2.
Answers will vary but, no,
you can’t draw a polygon
in which the number of
sides does not equal the
number of vertices.
a)
Answers will vary.
b)
B, E, H and I each
have 4 right angles
a)
Answers will vary.
b)
K and R have both
a right angle and
an acute angle.
A
× ×
For use with JUMP Math’s
Workbook 4 Part 1 (3rd Edition)
ISBN 978-1-897120-42-2
4.
In the angles provided,
some of the lines are too
short to be measured by
a standard protractor.
Please show your
students how to use a
ruler to extend the lines
if necessary.
×
×
×
c)
×
f)
×
×
×
×
×
×
g)
×
×
5.
a)
1 pair
b)
2 pairs
c)
1 pair
d)
2 pairs
Answers may vary by a
few degrees.
a)
43°
b)
30°
Selected Answer Key – Workbook 4
1
page 2
Geometry – Workbook 4, Part 1 (continued)
c)
Worksheet G4-6
page 158
1.
Property
Shape
Quadrilateral A, C, E, G,
J, L
d)
NonB, D, F, H, I,
Quadrilateral K
2.
A, B, D, E, F, G
b)
A, E, G
Property
Shape
c)
C
Equilateral
B, G, H, J
d)
4 sides
e)
5 sides
Not
Equilateral
A, C, D, E,
F, I
5.
H - 2 pairs
2.
3.
1 pair – trapezoid
No right
A, B, F, H, J
c)
1 right
I
2 pairs –
parallelogram
2 right
D, E
4 right
C, G
None
1 pair
E
C, G
2 pairs
A, B, D,
F, H
Shape
No right
B, G, I, K
1 right
J
2 right
D, E, F
4 right
A, C, H
b)
No parallel
lines
B, I, J
1 pair
D, E
2 pairs
C, F, G, H
3 pairs
A
Name
Shape
Triangle
B, I
Quadrilateral C, F, G, H
Pentagon
D, E, J
Hexagon
A
Worksheet G4-8
page 161
1.
Property
Shape
d)
a)
Property
Property
a)
Shape
1 pair
D, E, F, I
2 pairs
A, C, G, H,
K
a)
Each side of the
triangle is 2.5 cm –
should be circled
b)
Each side of the
pentagon is 2 cm –
should be circled
4 right angles
top and bottom: 3 cm
No parallel B, J
lines
4.
6 - 7.
Answers will vary.
8.
a)
all
b)
no
c)
no
d)
some
9.
11. Answers should include
three of the following:
quadrilateral – since it has
4 sides;
parallelogram – since it has
2 pairs of parallel sides;
rectangle – since it’s a
parallelogram with 4 right
angles;
12. a)
rectangle
b)
parallelogram
c)
square
d)
rhombus
For use with JUMP Math’s
Workbook 4 Part 1 (3rd Edition)
ISBN 978-1-897120-42-2
1.
2.
a)
4, 6
b)
1, 2, 3, 5, 7
c)
4, 6
a)
b)
c)
d)
e)
3.
b)
Similarities:
Both have 4 equal
sides.
Differences:
A square contains
4 right angles.
Answers will vary.
Worksheet G4-10
page 164
1.
2.
Similarities:
Both have 2 pairs of
parallel sides.
Differences:
A rhombus has
4 equal sides.
0 right angles
a)
Worksheet G4-9
page 163
rhombus – since it’s a
parallelogram with 4 equal
sides.
all sides: 2 cm
2.
Differences:
A parallelogram has
2 pairs of parallel
sides; a trapezoid
has only 1 pair.
10. square or rhombus
Shape – rectangle
Shape – rhombus
Similarities:
Both have 4 sides;
both have at least 1
pair of parallel sides.
square or rectangle
left and right: 2 cm
b)
c)
Square:
A parallelogram with
4 right angles and
4 equal sides
Rhombus:
A parallelogram with
4 equal sides
c)
G - 1 pair
parallelogram
b)
Property
F - 2 pairs
square
c)
Shape
Answers will vary.
E - 0 pairs
b)
2 pairs – rectangle
g)
D - 2 pairs
rectangle
a)
b)
C - 1 pair
a)
Rectangle:
A parallelogram with
4 right angles
5.
F (not equilateral)
B - 2 pairs
4.
a)
f)
A - 2 pairs
3.
Each side of the
rhombus is 1.5 cm –
should be circled
a)
Worksheet G4-7
page 157
1.
The two horizontal
sides of the rectangle
are 4 cm, and the
two vertical sides are
1 cm – not equilateral
b)
congruent
c)
not congruent
a)
2nd and 3rd
b)
1st and 3rd
c)
2nd and 3rd
d)
1st and 2nd
e)
1st and 3rd
f)
1st and 2nd
g)
1st and 3rd
h)
2nd and 4th
i)
1st and 3rd
j)
2nd and 3rd
3.
From left to right –
A; B; shape not congruent
to others; B; A; shape not
congruent to others
4.
Teacher to check.
Selected Answer Key – Workbook 4
2
page 3
Geometry – Workbook 4, Part 1 (continued)
Worksheet G4-11
page 165
1.
Teacher to check.
2.
Teacher to check.
3.
Two A’s:
Three B’s:
4.
a)
Worksheet G4-14
page 168
Worksheet G4-16
page 170
1.
Teacher to check.
1.
Example:
Property
a)
b)
5.
a)
1 line of symmetry:
Two C’s:
A
2.
b)
Answers may vary.
Example:
2 lines of symmetry:
Two D’s:
B
** remaining shapes aren’t
congruent with anything
4.
Teacher to check.
5.
a)
b)
6.
c)
d)
4.
no lines of symmetry
Worksheet G4-13
page 167
b)
1.
a)
Answers will vary.
b)
Teacher to check lines
of symmetry drawn on
page.
or
Worksheet G4-12
page 166
1.
Teacher to check.
2.
Teacher to check.
3.
a)
b)
√
0
√
# of right
angles
0
1
√
lines of
symmetry?
Y
N
√
# of lines of
symmetry
1
0
√
equilateral?
N
N
H, I, O and X all
have two lines of
symmetry.
# vertices
√
# edges
√
# of parallel
sides
√
a)
BATH
b)
BED
c)
MAD
lines of
symmetry?
√
1.
A. 31, 31, 31 mm
Equilateral
# of lines of
symmetry
√
B. 37, 37, 52 mm
Isosceles
equilateral?
2.
Answers will vary.
C. 67, 40, 40
Isosceles
3.
Students’ answers
should include the
following information:
a)
E. 25, 35, 35
Isosceles
Teacher to check lines of
symmetry drawn on page.
T
S
P
H
# Edges
3
4
5
6
# L of S
3
4
5
6
If a polygon is
regular, the number
of edges it has will
equal the number of
lines of symmetry
it has.
For use with JUMP Math’s
Workbook 4 Part 1 (3rd Edition)
ISBN 978-1-897120-42-2
S? D?
Worksheet G4-15
page 169
D. 50, 33, 68
Scalene
Figure
√
√
Parallelogram 0
b)
3
0
b)
F. 29, 26, 26
Isosceles
a)
Teacher to check.
3
# of parallel
sides
Property
Rhombus 0
7.
# edges
Answers will vary.
Rectangle 2
2.
√
a)
Square 4
c)
3
# of right
angles
a)
e)
3
b)
1 line of symmetry:
No, because they are
not the same shape
F1 F2 S? D?
# vertices
2 lines of symmetry:
3.
Yes, because they
are the same size
and shape (colour
doesn’t matter)
a)
b)
Property Triangles
Equilateral A, F
Isosceles B, C, E
Scalene
2.
3.
D
Teacher to check.
a)
Line width: 4.5 cm
b)
Line width: 4.4 cm
Teacher to check.
√
Property
F1 F2 S? D?
# vertices
5
5
√
# edges
5
5
√
# of parallel
sides
0
1
# of right
angles
0
0
√
lines of
symmetry?
Y
Y
√
# of lines of
symmetry
5
1
√
equilateral?
Y
N
√
** but F1 has
all straight
sides and F2
includes a
curved side!
√
Selected Answer Key – Workbook 4
3
page 4
Geometry – Workbook 4, Part 1 (continued)
4.
Worksheet G4-17
page 171
D & H have both
properties:
A
F
4
√
# edges
3
4
√
# of parallel
sides
0
2
√
Property 2: B, C, F, H
# of right
angles
0
4
√
C & H have both
properties:
lines of
symmetry?
Y
Y
# of lines of
symmetry
1
4
equilateral?
N
E
H
G
B
Property 1: C, D, H
A
E
B
C
H
D
F
G
√
Y
D, E & H have both
properties:
2.
Answers will vary.
3.
Students should include
the following information
in their descriptions:
Property
a)
b)
c)
# vertices
4
3
6
# edges
4
3
6
# of parallel
sides
1
0
3
# of right
angles
0
1
0
lines of
symmetry?
Y
N
Y
# of lines of
symmetry
1
0
6
equilateral?
N
N
Y
Property
Example answers:
a)
Because all four
angles are right
angles.
b)
All four sides are not
always equal
c)
Only 2 sides are
parallel – there are
no 2 pairs of parallel
sides.
T - quadrilateral
F - at least one
right angle
d)
F - 6 vertices
a)
T - at least 2 pairs of
parallel sides
Parallelogram or
rhombus
3.
b)
rectangle
a)
equilateral triangle
c)
trapezoid
b)
rhombus
F1 F2 S? D?
c)
parallelogram
4
4
√
1.
16
# edges
4
4
√
2.
A: Trapezoid
# of parallel
sides
1
1
√
# of right
angles
2
0
√
lines of
symmetry?
N
Y
√
# of lines of
symmetry
0
1
equilateral?
N
N
B: Trapezoid
C: Square
√
D: Square
E: Rectangle
F: Rectangle
3.
√
A: 4 names (square,
rectangle, rhombus,
parallelogram)
B: 1 name (parallelogram)
Worksheet G4-18
page 173
C: 2 names (rectangle,
parallelogram)
1.
D: 2 names (rhombus,
parallelogram)
A
N
Y
N
N
B
N
N
N
Y
C
Y
N
Y
N
D
Y
Y
Y
Y
E
N
Y
N
N
2.
a)
7.
Worksheet G4-19
page 174
# vertices
At least one
Right Angle?
Property 2: D, E, G, H
Teacher to check.
T - no right angles
F - 2 pairs of
parallel sides
√
b)
Property 1: A, C, D,
E, H
6.
F - 5 sides
T - no right angles
Two pairs of
Parallel Sides?
c)
c)
√
Equilateral?
b)
F1 F2 S? D?
3
C
F - 3 vertices
T - equilateral
Property
# vertices
D
b)
a)
Quadrilateral?
a)
Shape
1.
Student descriptions
might include the following
details:
T - 4 vertices
F - 2 pairs of
parallel sides
E: 1 name (trapezoid)
4.
A & H. D & E and B & G;
each pair is the same size
and shape
5.
a)
Teacher to check.
Example:
b)
Both shapes have two
parallel sides
T - 4 sides
T - at least 2 right
angles
For use with JUMP Math’s
Workbook 4 Part 1 (3rd Edition)
ISBN 978-1-897120-42-2
Selected Answer Key – Workbook 4
4