Geometry: Shapes – AP Book 4.1: Unit 7
1.
a)
sparrow, swan,
goose
b)
goldfish, shark
c)
2.
3.
4.
5.
a)
4.
b)
3 birds, 2 fish, 3
insects
5.
a)
Teacher to check.
b)
E, H
B
4 sides
6.
a)
C
4 sides
D
3 sides
Triangle: A, D
Name
Tri.
A
3 dairy products
Quad.
B, F, G
Pent.
C, D
Hex.
E, H
A
Cities in the USA
B
Sports
C
Pizza toppings
D
Trees
E
Coins
a)
Greater than 4
b)
odd numbers
c)
fractions
Odd numbers;
even numbers
b)
c)
D, E
7.
a)
Number of sides =
number of vertices
c)
7.
AP Book G4-3
page 164
rd
th
th
th
perpendicular
Yes
1.
b)
3 sides
AP Book G4-4
page 166
1.
Circle b, d, e, f
2.
a)
3 verticles
c)
No right angles
9.
4 vertices
d)
5 sides
c)
5 vertices
e)
No right angles
d)
6 sides
6 vertices
f)
a)
g)
8 sides
e)
f)
BONUS
4.
2.
10.
3 sides
3 vertices
b)
h)
8, 8
i)
12, 12
j)
10, 10
k)
8, 8
l)
8, 8
m)
12, 12
a)
2 curved
b)
g)
3.
c)
No. They have
some curved sides
b)
6 sides, hexagon
c)
5 sides, pentagon
b)
Perpendicular
sides at each
vertex
c)
No perpendicular
sides
d)
No perpendicular
sides
a)
2 pairs
b)
2 pairs
c)
1 pair
d)
0 pairs
1.
Lines in c) are parallel
2.
a)
Not parallel
b)
Parallel
c)
Not parallel
d)
Parallel
e)
Parallel
f)
Parallel
g)
Parallel
h)
Not parallel
h)
4 curved
4 straight
Perpendicular
sides at each
vertex
AP Book G4-5
page 168
2 straight
Every animal with
feathers also has wings.
a)
b)
4 sides
8 vertices
J-26
st
1 , 3 , 5 , 6 , 7 are
8.
Outside: A, C, D
b)
Teacher to check.
b)
Inside: B, E
C
6.
d)
Inside: B, C
a)
b)
Shapes
2 meat
c)
3.
4 sides,
quadrilateral
5.
Outside: A, D, E
2.
d)
Quadrilateral: B, C
4 fruit
AP Book G4-2
page 162
1.
5.
3.
3.
4.
Teacher to check.
Teacher to check.
Answer Keys for AP Book 4.1
COPYRIGHT©2013JUMPMATH:NOTTOBECOPIED.CCEDITION
AP Book G4-1
page 161
Geometry: Shapes – AP Book 4.1: Unit 7
(continued)
4.
b)
f)
2 pairs
g)
3 pairs
BONUS
2 pairs
AP Book G4-6
page 170
c)
1.
Quad
2.
b)
A, B, D, E, F, G
b)
A, E, F, G
c)
C
d)
Answers may vary.
Example:
4 sides
e)
1.
Rectangle
c)
Parallelogram
c)
1 cm, 3 cm
d)
All 2 cm
a)
c)
Answers may vary.
Example:
5 sides
f)
A – only 3 sides
g)
Teacher to check.
a)
b)
All 2 cm
b)
AP Book G4-7
page 171
e)
All 3 cm
b)
B, D, F,
H, I, K
a)
c)
d)
4.
a)
A, C, E,
G, J, L
Non
Quad
d)
5.
3.
d)
B: 2 pairs
C: 2 pairs
D: 2 pairs
f)
E: 0 pairs
F: 2 pairs
G: 1 pair
H: 2 pairs
b)
g)
Name
5.
Shape
Tri.
A, I
Quad.
C, F, G,
H
6.
a)
2 pairs, rectangle
b)
1 pair, trapezoid
c)
2 pairs,
parallelogam
Teacher to check.
7.
Teacher to check.
8.
a)
All
Pent.
D, E, J
Hex.
B
b)
No
Prop.
Shape
c)
No
0 R.A.
A, B, F,
H, J
1 R.A.
I
2 R.A.
D, E
4 R.A
C, G
Prop.
Shape
0 pairs
A, I, J
1 pair
D, E
2 pairs
C, F, G,
H
3 pairs
B
Prop.
Shape
All
sides
equal
A, B, G,
H, J
Some
not
equal
C, D, E,
F, I
9.
10.
d)
Some
a)
Square or
rectangle
b)
Square, rhombus
c)
Rectangle,
parallelogram,
rhombus
a)
Similar: 2 pairs of
parallel sides
Difference: not all
parallelograms
have equal sides
b)
Teacher to check.
c)
Teacher to check.
AP Book G4-9
page 175
1.
AP Book G4-8
page 173
d)
Neither
e)
Same size and
shape; match
exactly
f)
Same size and
shape
0
E
1
A, G
g)
2
B, C, D, F,
H
Same size and
shape; match
exactly
h)
Same size and
shape; match
exactly
i)
Same size and
shape; match
exactly
1.
COPYRIGHT©2013JUMPMATH:NOTTOBECOPIED.CCEDITION
h)
2.
6.
Property
Shape
0 right
angles
B, G, I, J,
K
1 R.A.
C
2 R.A.
D, E, F
a)
2 pairs
4 R.A
A, H
b)
1 pair
No pair
B, C, J
c)
1 pair
1 pair
D, E, F, I
2 pairs
A, G, H,
K
d)
2 pairs
e)
2 pairs
2.
3.
4.
Answer Keys for AP Book 4.1
a)
3 cm, 2 cm,
rectangle
b)
2 cm, rhombus
a)
Rectangle
b)
Parallelogram
c)
Square
d)
Rhombus
a)
Square
2.
First triangle, heart,
hexagon, pentagon
J-27
Geometry: Shapes – AP Book 4.1: Unit 7
(continued)
2.
b)
3.
a)
4.
5.
b)
1.
a)
d)
b)
c)
d)
a)
2
b)
1
c)
2
d)
0
J-28
a)
Teacher to check.
b)
H, I, O, X
a)
BATH
b)
BED
c)
MAD
a)
1
2
Sides
3
3
Paral.
0
0
R.A.
0
1
AP Book G4-12
page 179
Equal
sides
2
0
1.
Sym.
1
0
Vertices: same
Sides: same
Parallel sides:
same
Number of right
angles: different
AP Book G4-10
page 177
Shape
a)
Both have 6
vertices. Both
have 6 sides. 1
has 3 pairs of
parallel sides. 2
has 2 pairs of
parallel sides.
Neither have any
right angles. 1 has
2 lines of
symmetry, 2 has
no lines of
symmetry. 1 has 2
sets of equal
sides. 2 has 2
pairs of equal
sides. 1 is a
polygon,
Teacher to check.
b)
Number of equal
sides: same
1.
6.
b)
AP Book G4-11
page 178
c)
8.
Both have 5
vertices. Both
have 5 sides. 1
has no pairs of
parallel sides, 2
has 1 pair. Neither
have right angles.
1 has 5 lines of
symmetry, 2 has 1.
1 has 5 equal
sides, 2 has 4
equal sides. 1 is a
polygon, not 2.
a)
b)
5.
a)
c)
d)
4.
3.
b)
c)
7.
a)
Symmetry:
different
Actual
Square
4
Rect.
2
Rhom.
2
Parall.
0
2.
2.
Trait
Shape
Quad.
B, C, H
Equal
Sides
C, D, F,
H
C, H share both
properties
Teacher to check.
Answer Keys for AP Book 4.1
COPYRIGHT©2013JUMPMATH:NOTTOBECOPIED.CCEDITION
3.
Geometry: Shapes – AP Book 4.1: Unit 7
(continued)
Trait
Shape
4 or 5
vertices
A, B, C,
E, H
> 1 right
angle
B, E, G,
H
c)
B, E, H share both
properties.
Same: Number of
sides, number of
vertices, no right
angles, 3 parallel
pairs, all sides
equal.
F
6.
Different: number
of lines of
symmetry.
AP Book G4-13
page 181
1.
3.
A: No, yes, no, no
B: No, no, no, yes
a)
7.
4.
a)
4 sides, 4 vertices,
1 pair of parallel
sides, no right
angles, 1 line of
symmetry, 1 pair
of equal sides.
b)
c)
5.
COPYRIGHT©2013JUMPMATH:NOTTOBECOPIED.CCEDITION
b)
a)
b)
c)
6 sides, 6 vertices,
3 pairs of parallel
sides, no right
angles, 6 lines of
symmetry, all
sides equal.
Different: Right
angles, lines of
symmetry, pairs of
equal sides.
Answer Keys for AP Book 4.1
C
Rectangle,
parallelogram
D
Rhombus,
parallelogram
E
Trapezoid
Teacher to check.
Both are
quadrilaterals that
have one pair of
parallel sides.
a)
Because it has 4
sides, 4 right
angles, and 2 sets
of parallel sides.
Check: No right
angles, all sides
equal
b)
Because not all
rectangles have 4
equal sides.
X: 3 vertices,
5 sides
c)
Because a
trapezoid only has
1 pair of parallel
lines,
parallelograms
have 2.
a)
Rhombus
b)
Rectangle
Check: 4 vertices,
4 sides
8.
Check:
Quadrilateral
X: 2 pairs of
parallel sides, at
least 1 right angle
d)
Share: All sides
equal.
Same: number of
sides, number of
vertices, number
of parallel sides.
Parallelogram
X: 2 pairs of
parallel sides,
right angles
3 sides, 3 vertices,
no parallel sides, 1
right angle, no
lines of symmetry,
no equal sides.
Different: Number
of sides, number
of vertices,
number of parallel
pairs, number of
right angles,
number of lines of
symmetry
B
E: No, yes, no, no
2.
Answer will vary.
a)
Square, rectangle,
parallelogram,
rhombus
a)
D: Yes, no, yes, no
Teacher to check.
A
b)
C: Yes, yes, yes, yes
b)
Rectangle
Rhombus and
parallelogram not
in the picture
Check: No right
angles, at least 2
pairs of parallel
sides
9.
BONUS
Trapezoid
X: 6 vertices
3.
4.
a)
Square
b)
Rhombus
c)
Parallelogram,
rectangle, square
or rhombus
16 right angles
5 squares
9 rectangles
5.
A
Trapezoid
B
Trapezoid
C
Square
D
Square
E
Rectangle
J-29