Download Geometry PRACTICE Test

Geometry PRACTICE Test
Name: _____________________________
1. Complete the chart. Find as many shapes as you can for each shape name:
A
D
C
B
Shapes
F
E
G
Letters
J
H
I
Shapes
Letters
Triangles
B
Pentagons
C, I
Quadrilaterals
A, D, F, G, H
Hexagons
E, J
2. Use a protractor to measure teach angle. Label the degrees on each. Identify each angle as “acute” or
“obtuse”:
142°
25°
42°
ACUTE
OBTUSE
ACUTE
3. Use the charts to classify the triangles below.
A.
B.
60°
60°
5m
5m
6m
3m
60°
60°
30°
5m
5.2 m
45°
C.
D.
1.4 m
1.4 m
105°
45°
4m
2m
2.8 m
30°
45°
5.2 m
a) Classify the triangles by their angles:
b) Classify the triangles by their sides:
Property
Triangles with Property
Property
Triangles with Property
Acute-angled
A
Equilateral
A
Isosceles
C
Scalene
B, D
Obtuse-angled D
Right-angled
B, C
4. Measure all of the angles in each triangle and write your measurements in the triangle. Then say
whether the triangle is acute, obtuse or right angled:
a)
b)
c)
72°
36°
110°
72°
90°
40°
30°
ACUTE
45°
OBTUSE
45°
RIGHT
5. Can a triangle be equilateral and right-angled? Explain.
No, if a triangle is equilateral, all three of its angles are 60°, so it can’t be right angled, too.
An equilateral triangle is also an acute triangle, because all of its angles are less than 90°.
6. Using arrows, mark all the pairs of parallel lines in the figures below.
a)
b)
____ pair(s)
ONE
c)
____ pair(s)
TWO
d)
____ pair(s)
ONE
____ pair(s)
TWO
7. (i) Mark the angles that are right angles in the quadrilaterals below.
(ii) Measure the length of each side with a ruler and write it onto the pictures. Use this to help you
decide on the name(s) for each quadrilateral.
____
2 cm
____
3 cm
a)
b)
____
2 cm
____
2 cm
____
3 cm
9.
____
2 cm
____
2 cm
Name: Parallelogram,
__________________________
quadrilateral
8. Match the name of the
quadrilateral to the best
description:
____
2 cm
Parallelogram, square, rhombus
Name: ______________________________
Square
A parallelogram with 4 right angles.
Rectangle
A parallelogram with 4 equal sides.
Rhombus
A parallelogram with 4 right angles and 4 equal sides.
Describe any similarities and differences between a square and a rhombus:
Both are quadrilaterals
Both are parallelograms
Both have 4 equal sides
All squares are a type of rhombus, but not all
rhombuses are squares
Squares have all 4 angles as right angles, but
rhombuses have 2 pairs of equal angles
10. Name each shape: HINT: Use the words rhombus, square, parallelogram and rectangle.
a)
b)
c)
d)
rectangle,
__________________
parallelogram
parallelogram
__________________
square,
__________________
rhombus,
__________________
rectangle,
rhombus
parallelogram
11. For each quadrilateral, say how many pairs of sides are parallel. Show pairs of parallel sides with
arrows. Then identify each quadrilateral as a square, a rectangle, a parallelogram or a trapezoid:
a)
b)
c)
d)
__________________
2 pairs
__________________
2 pairs
__________________
2 pairs
__________________
1 pair
__________________
rectangle
__________________
parallelogram
__________________
square
__________________
trapezoid
parallelogram
parallelogram
rhombus
12. a) Why is a rectangle a parallelogram? Explain.
A parallelogram is a 4-sided figure with 2 pairs of parallel sides, and rectangles
also have 2 pairs of parallel sides. Therefore, rectangles are a type of parallelogram.
b) Why are some parallelograms not rectangles? Explain.
All rectangles have 4 right angles, but some parallelograms don’t have any right
angles. Therefore, some parallelograms are not rectangles
13.
a) Draw a quadrilateral that has two right angles and
one pair of parallel sides.
example answers
b) What is the name of the shape you drew? Explain
how you know. It is a (right) trapezoid.
It’s a quadrilateral with one pair of parallel sides, so
it must be a trapezoid.
14. a) Using the line provided, use a protractor to construct a triangle with two 60° angles.
b) Measure the sides of the triangle.
(Write the measurements on the sides on the triangle.)
60°
5cm
5cm
c ) What kind of triangle did you draw? __________________
Explain how you know.
It is an equilateral triangle, because it has 3 equal sides
and 3 equal angles.
60°
60°
5 cm
15. Record the properties of each shape. Write “yes” in the column if the shape has the given property.
Otherwise, write “no”:
A
C
D
Shape
Quadrilateral
Equilateral
Two or more pairs
of parallel sides
At least one
right angle
At least one
acute angle
At least one
obtuse angle
A
No
Yes
No
Yes
Yes
No
Yes
No
No
No
No
Yes
No
Yes
No
Yes
Yes
Yes
No
No
No
Yes
Yes
No
B
C
D
16.
B
Describe this figure completely. In your description you should mention the
following properties:
 Number of sides
 Is the figure equilateral?
 Number of obtuse angles
 Number of vertices
 Number of right angles
 Side lengths
 Number of pairs of parallel sides
 Number of acute angles
6 sides
6 vertices
3 pairs parallel sides
equilateral
no right angles
no acute angles
6 obtuse angles
sides 2cm long
17. I have three sides. Two of my sides are the same length. What shape am I?
Explain how you know! Use pictures, numbers and/or words
I have 3 sides: I must be a triangle
2 of my sides are the same: I must be an isosceles triangle