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GEOMETRY
I Match the pictures with the words below.
A. Lines
___ curve
___ perpendicular lines
___ parallel lines
___ straight line
B. Geometrical Figures
___ acute angle
___ apex
___ arc
___ base
___ centre
___ circle
___ circumference
___ diagonal
___ diameter
___ hypotenuse
___ obtuse angle
___ oval
___ radius
___ rectangle
___ right angle
___ section
___ side
___ right triangle
___ square
___ triangle
C. Solid Figures
___ cone
___ cube
___ pyramid
___ cylinder
D. Fractions
___ a half
___ a quarter
___ a third
___ whole
E. Measurement
___ depth
___ height
___ length
___ width
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II Choose the correct answer from the words in italics.
1. An angle of 90 is a(n)
obtuse/right
angle.
2. An angle of 360 is a(n)
reflex/full
angle.
3. An angle of 180 is a(n)
straight/external
angle.
4. An angle <90 is a(n)
full/acute
angle.
5. An angle >180 is called a
right/reflex
angle.
6. An angle >90 but <180 is a(n)
obtuse/straight
angle.
III Complete these sentences with the correct form of the words in brackets.
1. Measure and cut a _________ (
rectangle
) piece of colored paper so it fits all the way around
the can.
2. There is a very important and fundamental relation between learning and personality
development. The two interact in a _________ (
circle
) process.
3. The dark halo is a _________ (
sphere
) region surrounding the galaxy that extends beyond its
main visible structure.
4. Every _________ (
pentagon
) number is one-third of the ________
(
triangle
) number.
5. When it was built, the giant stage of the auditorium faced two levels of intimate boxes
arranged in a _________ (
semicircle
).
IV Choose the correct answer A, B, C or D.
1. The angle 89 is
A
acute
B
obtuse
C
right
D
reflex
2. What is the name of a five-sided polygon?
A
a pentagon
B
a triangle
C
a rectangle
D
a hexagon
3. What is the area of a rectangle that is 5 cm long and 3 cm wide?
A
13
B
15
C
12
D
8
4. What is NOT the name of a triangle that has no equal sides?
A
A scalene right angled triangle
C
A scalene obtuse angled triangle
B
A scalene acute angled triangle
D
An isosceles right angled triangle
5. A cube has edge length 5 cm. What is its surface area?
A
125 cm
2
C
150 cm
2
B
250 cm
2
D
900 cm
2
3
V Form adjectives of these nouns.
1. cube- 3. cone- 5. hemisphere-
2. pyramid- 4. cylinder- 6. concavity-
VI The area of a triangle.
A) Watch the video (
http://www.neok12.com/Geometry.htm
) and write down Polish equivalents for
the following words:
Base -
Isosceles -
Congruent -
Segment –
B) How to calculate the area of a triangle? Write the formula and say it in words.
VII Point, line….
Watch the video and answer the questions:
1. What are the most basic figures in geometry?
2. How can be lines represented?
3. How can plane be defined?
4. How can space be defined?
VIII Polygons
Watch the video and answer the question:
1. Which figures are not polygons?
2. What does’ polygon’ mean in Polish?
IX Radius…………………
A) Watch the video and write down the Polish equivalents for the following words:
Radius
Chord
Diameter
Secant
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B) Write down the definitions for the radius, chord, diameter and secant.
X Rectangle coordinate system
A)
Watch the video and answer the following questions:
1. What is a number line?
2. Give an example of two opposite integers.
3. What is a rectangular coordinate system?
4. Why do we use number lines?
5. What is the origin?
6. What is x-axis and y-axis?
B)
Fill in the following statements with the missing words. The first letter is given.
1. X-axis and Y-axis divide the plane into sections called q…………. .
2. The quadrants are labeled c………… c………… - w……………… as the first, second, third and fourth.
3. The addresses of coordinates are called o…………. p………….. .
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XI Fill in the missing letters to describe lines.
AB is a s __ __ __ __ line.
CD is a b __ __ __ __ __ line.
EF is a d __ __ __ __ __ line.
GH is a w __ __ __ line.
AB is a h __ __ __ __ __ __ __ __ __ line.
CD is a v __ __ __ __ __ __ __ line.
EF is a d __ __ __ __ __ __ __ line.
AB and CD are s __ __ __ __ __ __ __ lines,
EF is a c __ __ __ __ __ line.
AB is p __ __ __ __ __ __ __ __ __ __ __ __ to
CD.
EF is p __ __ __ __ __ __ __ to GH.
AB and CD are i __ __ __ __ __ __ __ __ __ __ __
lines.
They i __ __ __ __ __ __ __ __ at X.
XII Write the correct letter next to the picture.
A. It is convex.
B. It is pointed at one end.
C. It is rounded at one end.
D. It is concave.
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XIII Describe the block.
The block has a h __ __ __ __ __ of 4 cm, a l __ __ __ __ __ of 5 cm and
a w __ __ __ __ of 2 cm.
The h__ __ __ __ __ of the block is 4 cm, the l __ __ __ __ __ is 5 cm and
the w __ __ __ __ is 2 cm.
The block is 4 cm h __ __ __ , 5 cm l __ __ __ and 2 cm w __ __ __.
The block is 4 cm by 5 cm by 2 cm.
The v __ __ __ __ __ of the block is 40 cu. cm.
XIV Write down the correct letters to describe the triangles (e.g. ABC, DEF).
__ __ __ is an acute-angled triangle.
__ __ __ is a right-angled triangle.
__ __ __ is an isosceles triangle.
__ __ __ is an obtuse-angled triangle.
__ __ __ is an equilateral triangle.
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XV
Complete the crossword and read the phrase in the vertical column.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1. divide an angle into two equal parts
2. a triangle that has all three sides and angles equal
3. an angle less than 90°
4. the distance between the circle's centre and an arbitrary point on the circle's circumference
7. the side of a right triangle opposite the right angle
9. a triangle that has one angle greater than 90°
10. a triangle with two equal sides and two equal angles
11. the longest chord in a circle
12. a polygon is _______ if it has all sides and angles equal
13. a line joining two points on a curve
What's the phrase in the vertical column?