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Question 1
Our aim is to show the sum of interior angles in a triangle is $180^{\circ}$
a) Construct a triangle
a
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b) Measure each angle
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c) Find the sum of these three angles
a
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d) Move the vertices of the triangle to check the statement holds.
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Question 2
Our aim is to show Pythagoras' Theorem holds in a $3$, $4$, $5$ Triangle
a) Construct a line of length $3$
a
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b) Construct an angle of $90^{\circ}$
a
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c) By constructing a circle of radius $4$ at the right angle, construct a line of length $4$ that is perpendicular to the line of length $3$
a
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d) Complete the shape to form a triangle. Measure the last side
a
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e) Confirm that the sum of the square of the two shorter sides is equal to the square of the longer side
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Question 1
Our aim is to show the sum of interior angles in a triangle is $180^{\circ}$
a) Construct a triangle
b) Measure each angle
c) Find the sum of these three angles
d) Move the vertices of the triangle to check the statement holds.
Question 2
Our aim is to show Pythagoras' Theorem holds in a $3$, $4$, $5$ Triangle
a) Construct a line of length $3$
b) Construct an angle of $90^{\circ}$
c) By constructing a circle of radius $4$ at the right angle, construct a line of length $4$ that is perpendicular to the line of length $3$
d) Complete the shape to form a triangle. Measure the last side
e) Confirm that the sum of the square of the two shorter sides is equal to the square of the longer side
Answers
Question 1
a)
b)
c)
d)
Question 2
a)
b)
c)
d)
e)
Question 1
Our aim is to show the sum of interior angles in a triangle is $180^{\circ}$
a) Construct a triangle
b) Measure each angle
c) Find the sum of these three angles
d) Move the vertices of the triangle to check the statement holds.
Question 2
Our aim is to show Pythagoras' Theorem holds in a $3$, $4$, $5$ Triangle
a) Construct a line of length $3$
b) Construct an angle of $90^{\circ}$
c) By constructing a circle of radius $4$ at the right angle, construct a line of length $4$ that is perpendicular to the line of length $3$
d) Complete the shape to form a triangle. Measure the last side
e) Confirm that the sum of the square of the two shorter sides is equal to the square of the longer side
Answers
Question 1
a)
b)
c)
d)
Question 2
a)
b)
c)
d)
e)
Solutions
Question 1
a)
b)
c)
d)
Question 2
a)
b)
c)
d)
e)