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WorksheetsChapter 27 Quiz
Total questions: 15
Worksheet time: 8mins
Name
Class
Date
1.
Which option shows the definition of a line segment?
a)
collection of points extending towards infinity in both directions
b)
collection of all points between and including two end points
c)
collection of points that starts at a specified point and extends towards infinity
d)
collection of points that are the same distance from another point
2.
Which option shows the name for a collection of points that are the same distance from another point?
a)
line
b)
line segment
c)
ray
d)
circle
3.
Which shape is not a quadrilateral?
a)
triangle
b)
rectangle
c)
kite
d)
trapezium
4.
Which statement relating to similarity and congruence is incorrect?
a)
Objects that are mathematically similar are the same shape but not necessarily the same size.
b)
Objects that are exactly the same size and shape are congruent.
c)
In geometry, angles, lines and other shapes that are identical are described as being similar.
d)
All circles are similar.
5.
Which statement relating to geometric proof in schools today is incorrect?
a)
Geometric proofs are a particular type of mathematical justification.
b)
Geometric proofs should be learnt by heart for later recitations in examinations.
c)
Geometric proofs follow step by step from initial axioms that are known to be true.
d)
Geometric proofs should have steps that can each be read as a sentence and make sense.
6.
Which statement relating to rigid transformations is incorrect?
a)
Rigid transformations are also known as congruence transformations.
b)
Rigid transformations preserve size and shape.
c)
Rigid transformations can be recorded using coordinates.
d)
Rigid transformations are rotations, translations, reflections, glide reflections or dilations.
7.
Which statement relating to tessellations is incorrect?
a)
Tessellations are repeated shapes that cover a plane without gaps or overlaps.
b)
The three regular polygons that tessellate are the square, the equilateral triangle and the regular octagon.
c)
All triangles and all quadrilaterals will tessellate.
d)
For shapes to tessellate, the sum of the angles of shapes meeting at each vertex must be exactly 360°.
8.
Which statement relating to non-rigid transformations is incorrect?
a)
Non-rigid transformations are shears and dilations.
b)
Dilation transformations keep the size and shape the same.
c)
Shear transformations keep the area the same but the shape changes.
d)
Non-rigid transformations are also known as similar transformations.
9.
Which option describes what happens to a shape when a scale factor of 3 is applied?
a)
The image is congruent.
b)
The image is larger.
c)
The image is smaller.
d)
The image is enlarged or reduced.
10.
Which option does not describe an aspect that is observed when exploring enlargements of figures?
a)
The angles of the image are the same size as the angles of the original figure.
b)
The side lengths of the image can be found by multiplying the length of the corresponding sides on the original figure by the scale factor.
c)
The area of the image is found by multiplying the original area by the scale factor.
d)
Area involves two dimensions, each of which is enlarged by the scale factor.
11.
An object is enlarged by a scale factor of 2. Which option is incorrect?
a)
The length of the object increases by a scale factor of 2.
b)
The area of a face of the object increases by a scale factor of 4.
c)
The surface area of the object increases by a scale factor of 4.
d)
The volume of the object increases by a scale factor of 4.
12.
Which option best describes the meaning of a great circle on the surface of a sphere like Earth with two poles?
a)
any circle with its centre at the centre of a sphere
b)
any circle where the centre is not the centre of a sphere
c)
any circle parallel to the equator with its centre on the polar axis (line between the two poles)
d)
any semicircle that runs from pole to pole
13.
Which option shows the name for circles with their centre on the polar axis?
a)
small circles
b)
great circles
c)
parallels of latitude
d)
meridians of longitude
14.
Which statement relating to the Cartesian plane is incorrect?
a)
The horizontal axis is known as the x-axis.
b)
The vertical axis is known as the y-axis.
c)
Points are located on the Cartesian plane using ordered pairs.
d)
The point (4, 3) would be located three units along the horizontal axis to the right of the origin and four units up.
15.
Which option describes the least effective way of learning geometry in the middle years?
a)
learning definitions, properties and geometrical proofs
b)
developing visualisation to predict or imagine what will happen before you draw a diagram
c)
exploring what changes and what is invariant when processes happen to objects
d)
recording findings in written form to encourage understanding and memory
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