# Other - GeoGebra

## Go to geogebra.org/classic and disable the grid and axes before starting these questions. Video here

**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

a

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d
c) Find the sum of these three angles

a

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d
d) Move the vertices of the triangle to check the statement holds.

a

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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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d
b) Construct an angle of $90^{\circ}$

a

Question ID: 60020020020

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d
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
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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d
**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)