Save
MATHEMATICS
MATHS- constructions 78/72/79/80/70
Save
Share
Learn
Content
Leaderboard
Share
Learn
Created by
dais
Visit profile
Cards (65)
What is the main topic of this lesson?
Constructing
perpendicular bisectors
View source
What does the term "perpendicular bisector" mean?
A line that cuts another line in half at
right angles
View source
How long is the line drawn in the example?
8
centimeters
View source
Why is accuracy important in constructing a perpendicular bisector?
To ensure you receive accuracy
marks
View source
What should you ensure about your compass before using it?
It should be
fairly tight
View source
What tools are needed to construct a perpendicular bisector?
A
straight edge
and a
compass
View source
Where should the point of the compass be placed to start drawing an arc?
On one end of the
line
View source
What is the purpose of drawing arcs from both ends of the line?
To find
intersection points
for the
bisector
View source
What do you do after drawing the arcs?
Join the
intersection
points with a
straight edge
View source
What is the significance of the line drawn from the intersection points?
It is the
perpendicular bisector
View source
What should you leave on your construction lines?
The
arcs
and construction lines
View source
What does the perpendicular bisector indicate about points on it?
They are
equidistant
from the endpoints of the line
View source
How do you find points equidistant from two lines?
By drawing an
angle bisector
View source
What is the purpose of constructing the angle bisector in the example?
To find the
statue's position
View source
Where do the angle bisector and perpendicular bisector intersect?
At the
position
of the
statue
View source
What does the statue's position represent in relation to points A and B?
It is
equidistant
from both points
View source
What are the steps to construct a perpendicular bisector?
Draw a
line segment
.
Place
compass point
on one end.
Draw arcs above and below the line.
Repeat from the other end.
Join the intersection points with a straight edge.
View source
What are the properties of points on the perpendicular bisector?
Equidistant from
endpoints
A and B
Cuts the line at a
right angle
View source
How do you construct an angle bisector?
Place compass on
vertex
of the angle.
Draw arcs that intersect both lines.
Use compass to find
intersection
of arcs.
Draw a line from the vertex through the intersection.
View source
What is an angle bisector?
A line that cuts an angle in
half
View source
If a 60-degree angle is bisected, what are the measures of the two resulting angles?
30 degrees
on each side
View source
What is true about every point on the angle bisector?
It is
equidistant
from the two lines
View source
What is the first step to draw an angle bisector?
Get a
compass
and a pencil
View source
Where should you place the point of the compass to start drawing the angle bisector?
On
point B
of the angle
View source
What do you do after placing the compass on point B?
Draw arcs on both
arms
of the angle
View source
After drawing the arcs, where do you place the compass to create the angle bisector?
At the
intersection
of the arc and line
View source
What happens when you connect the intersection points of the arcs?
You create the
angle bisector
accurately
View source
What can you use to verify the accuracy of the angle bisector?
A
protractor
to measure the angles
View source
What is the exam question example given in the material?
Construct the bisector of
angle
ABC
View source
What are the steps to construct an angle bisector?
Get a
compass
and pencil.
Place the compass on point B.
Draw arcs on both arms of the angle.
Place the compass at the
intersection
of the arc and line.
Draw arcs towards the center of the angle.
Connect the intersection points of the arcs.
View source
What are the properties of an angle bisector?
Cuts the angle in half
Every point is
equidistant
from the two lines
Creates two
equal
angles
View source
What tools do you need to construct a perpendicular line?
A
straight edge
, pencil, and
compasses
View source
What is the first step in constructing a perpendicular line through a given point?
Set the
compass
point on the given point
View source
How do you create arcs when constructing a perpendicular line?
Draw arcs on
either
side of the line
View source
Why is it important to keep the compass size the same when drawing arcs?
To ensure
accurate
intersection points
View source
What do you do after drawing the arcs to find the intersection points?
Place the
compass point
on the intersection points
View source
What is the purpose of drawing arcs below the line?
To find the
intersection
points for the
perpendicular
View source
What should you do to verify that the line is perpendicular?
Use a
protractor
to check for
90°
View source
How do you draw the perpendicular line after finding the intersection points?
Align
the ruler with the given point and intersection
View source
If asked to construct a 90° angle, what would you do differently?
Only
draw
the
first
section
of
the
angle
View source
See all 65 cards
See similar decks
AQA A-Level Further Mathematics
2594 cards
GCSE Mathematics
1419 cards
Edexcel A-Level Mathematics
1566 cards
WJEC GCSE Mathematics
1408 cards
AQA A-Level Mathematics
1840 cards
OCR A-Level Mathematics
1577 cards
OCR GCSE Mathematics
1262 cards
AQA GCSE Mathematics
1434 cards
Edexcel GCSE Mathematics
1622 cards
3.3.2 Understanding interpreting rate of change
GCSE Mathematics > Ratio, Proportion, and Rates of Change > 3.3 Rates of Change
29 cards
1.1.2 Order of operations (BIDMAS/BODMAS)
Edexcel GCSE Mathematics > 1. Number > 1.1 Structure and Calculation
89 cards
4.1 Properties and Constructions
Edexcel GCSE Mathematics > 4. Geometry and Measures
92 cards
Mathematics A
OCR A-Level Further Mathematics
1987 cards
5.3 Constructors
AP Computer Science A > Unit 5: Writing Classes
86 cards
Discrete Mathematics
OCR A-Level Further Mathematics > Optional Papers
191 cards
4.1 Properties and Constructions
OCR GCSE Mathematics > 4. Geometry and Measures
47 cards
1. Pure Mathematics
OCR A-Level Mathematics
875 cards
4.1 Properties and Constructions
GCSE Mathematics > 4. Geometry and Measures
58 cards
1. Pure Mathematics
OCR A-Level Further Mathematics > Mathematics A
1038 cards
1.5 Trigonometry
OCR A-Level Further Mathematics > Mathematics A > 1. Pure Mathematics
21 cards
3.5.1.2 Social Construction
AQA GCSE Criminology > 3.5 Crime and Deviance > 3.5.1 The Social Construction of Crime and Deviance
44 cards