Download Geometry of 2D Shapes - E

GRADE 7
Name:
Answer these questions in your class workbook:
1. Give the definitions of each of the following shapes and draw an example of each one:
a) equilateral triangle
b) isosceles triangle
c) scalene triangle
d) right-angled triangle
e)parallel
f ) perpendicular
2. What makes each of these quadrilaterals special?
a)
square
b)
kite
c)parallelogram
d) rectangle
e)rhombus
f ) trapezium
3. Write the name for each of these shapes in your class workbook:
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Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes
Geometry of 2D Shapes
5. Label this circle with the correct names from the box given below:
radius circumference diameter chord segment sector
Radius
circumference
diameter
Segment
GRADE 7
chord
sector
6. What do these words mean?
a)Similarity
centre
centre
b) Congruency
7. Match the columns: Which shape in column A is similar to the shape in column B?
1.
A.
1.
2.
2.
3.
3.
4.
4.
5.
5.
6.
6.
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Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes
Geometry of 2D Shapes (2)
GRADE 7
Name:
8. Look at the pairs of shapes: Say if the pairs are similar, congruent or neither.
i)
j)
Triangle A with angles:
90°; 65° and 25°
Triangle B with angles:
65°; 90° and 25°
A rhombus with one side equal to 50mm, 2 angles equal to 45° and two
angles equal to 135° AND a parallelogram with all four sides equal to 50mm, with an angle equal to 135° and an angle equal to 45°.
9. Given that the following pairs of shapes are similar, work out what the missing angles are:
A
300
600
B
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Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes
Geometry of 2D Shapes (3)
10. Given that the following pairs of shapes are congruent, work out what the
missing sides are:
11.
State wether the following statements (sentences are true or false). If the
sentence is false, change it to make the sentence true.
a) All squares are rectangles.
b) All rhombuses are parallelograms.
c) All trapeziums are parallelograms.
d) All kites are rhombuses.
e) All rectangles are squares.
f ) All kites are quadrilaterals.
g) All quadrilaterals are trapeziums.
h) All rhombuses are squares.
i) All parallelograms are rectangles.
j) A scalene triangle is a triangle with three equal sides.
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Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes
GRADE 7
Geometry of 2D Shapes (4)
Name:
Answer these questions in your workbook:
1. Give the definitions of each of the following shapes and draw an example of each one:
a) equilateral triangle
- a triangle with three equal sides
b) isosceles triangle
- a triangle with two sides that are equal
c) scalene triangle
- a triangle with no sides equal to each other
d) right-angled triangle
- a triangle that has one angle equal to 90°
e) parallel
f ) perpendicular
- two lines that will always be the same distance
from each other and never touch each other
- two lines that make a right angle between them
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GRADE 7
Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes
Geometry of 2D Shapes: Answer Sheet (1)
GRADE 7
2. What makes each of these quadrilaterals special?
a) square
- all 4 sides are equal and all 4 angles are equal to each other and 90°
- both pairs opposite sides parallel
b) kite
- adjacent sides are equal to each other
c) parallelogram
- both pairs of opposite sides are parallel to each other.
d) rectangle
- both pairs opposite sides are equal and
parallel
- all angles are 90°
e) rhombus
- all four sides are equal
- both pairs opposite sides are equal and
parallel
f ) trapezium
- only one pair of opposite sides are parallel
3. Write the name for each of these shapes in your class workbook:
a)square
b) rhombus
c) equilateral triangle
d) trapezium
e)rectangle
f ) kite
g) scalene triangle
h) parallelogram
i) right-angled triangle
j) isosceles triangle
k)trapezium
l) parallelogram
m)
rhombus
n)
kite
o) scalene triangle
p) rectangle
q) square
r) equilateral triangle
s) isosceles triangle
t) right-angled triangle
u)kite
4. Copy the table below into your workbook. Tick the columns for the properties that belong to that shape. The first one has been done to help you:
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
© e-classroom 2013 Radius
circumference
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Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes
Geometry of 2D Shapes: Answer Sheet (2)
5. Label this circle with the correct names from the box given below:
6. What do these words mean?
a) Similarity
- when the shape has the same angles but is not always the same size
b) congruency
- when the shapes are identical – they have the same
angles and the same size
7. Match the columns: Which shape in column A is similar to the shape in column B?
a)4
b) 1
c)5
d)3
e) 2
8. Look at the pairs of shapes: Say if the pairs are similar, congruent or neither.
a)
congruent b)neither
c)
similar d)neither
e)
congruent f )similar
g)
neither h)neither
i)
similar j) congruent
9. Given that the following pairs of shapes are similar, work out what the missing angles are:
A = 60
B = 30
E = 115
F = 65
G = 56
H = 62
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GRADE 7
Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes
Geometry of 2D Shapes: Answer Sheet (3)
GRADE 7
10. Given that the following pairs of shapes are congruent, work out what the
missing sides are:
12mm
4mm
19cm
17cm
17cm
12cm
30cm
11. Say if the following statements (sentences are true or false). If the sentence is
false, change it to make the sentence true.
a) All squares are rectangles.
True
b) All rhombuses are parallelograms.
True
c) All trapeziums are parallelograms.
False – All parallelograms are
trapeziums
d) All kites are rhombuses.
False – All kites are quadrilaterals
e) All rectangles are squares.
False – All squares are rectangles
f ) All kites are quadrilaterals.
True
g) All quadrilaterals are trapeziums.
False – All trapeziums are
quadrilaterals
h) All rhombuses are squares.
False – All squares are rhombuses
i) All parallelograms are rectangles.
False – All rectangles are
parallelograms
j) A scalene triangle is a triangle with
three equal sides.
False – A scalene triangle is a triangle with no equal sides
OR
False – An equilateral triangle is a
triangle with three equal sides.
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Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes
Geometry of 2D Shapes: Answer Sheet (4)