**"Angles"**

## Years 4 – 9 Command The Robot 1

*By toni On 11 July, 2020 · Leave a Comment*

What do you know about robots? What are drones? Are driver-less cars actually robots? What do you think about robots that move around warehouses to pick up and carry loads from place to place or control complicated machinery in factories? What do you think about robots that mow lawns and clean floors?

[…]

## Years 8 – 12 Tri-Fold

*By toni On 15 May, 2020 · Leave a Comment*

Take any triangle and label it ABC with A as the largest angle. Fold the triangle along PQ, PS and QT where the points P and Q are the midpoints of AB and AC and PS and PT are perpendicular to BC.

What do you notice? Why does this happen? Will it […]

## Years 8 – 10 Angle Sum

*By toni On 24 April, 2020 · Leave a Comment*

For any triangle you can construct a line through one of the vertices parallel to the opposite edge.

Using what you know about angles and parallel lines prove that the angles of the triangle add up to 180 degrees.

Click here to download the ANGLE SUM worksheet.

Click here […]

## Years 7 – 12 Tessellating Triangles

*By toni On 18 April, 2020 · Leave a Comment*

What do you see in this diagram?

Look at the triangle with angles marked 1, 2 and 3.

Call this T.

Label angles equal to these angles. Why are they equal?

Look at the larger heavily outlined triangle.

How many copies of triangle T can you see in this triangle?

What else do […]

## Years 7 – 9 Construct circle and line patterns

*By toni On 18 February, 2018 · Leave a Comment*

The picture shows you how to use a paper clip to draw circles. You just need to open out the paper clip as shown,

Draw a circle and mark 24 points equally spaced around the circumference. To do this, draw a circle and mark the centre, and mark your first point on […]

## Years 11 – 12 Why the same?

*By toni On 15 July, 2017 · Leave a Comment*

In the diagram ASRC and BCQP are squares and PU and ST are perpendicular to the straight line TABU.

Prove that PU + ST = AB.

## Years 11 – 12 Encircling

*By toni On 15 July, 2017 · Leave a Comment*

This shape is an equilateral triangle sitting on top of a square.

What is the radius of the circle that circumscribes the shape?

Click here for a hint if you need one to get started.

Click here for the Notes for Teachers.

This problem is adapted from the […]

## Grades 7 to 9 Ratty

*By toni On 22 November, 2016 · Leave a Comment*

If you know the sizes of the angles marked with coloured dots in the diagram which angles can you find by calculation? Explain your reasoning.

If you also know that AB and CD are parallel which angles can you find?

What extra information do you need to find all the numbered angles?

[…]

## Years 10 – 12 Trig Lengths

*By toni On 23 July, 2016 · Leave a Comment*

In the diagram the line OS is perpendicular to the lines OR and PQ.

The line RS is a tangent at P to the circle centre O and radius 1 unit.

Find the lengths OQ, PQ, PS, OS, OR and RP.

If OS and OR lie on the coordinate axes, what are the coordinates […]

## Years 10 – 12 Geoprob

*By toni On 29 March, 2016 · Leave a Comment*

The point E is inside the square ABCD and AEB is an equilateral triangle. Find the angles EBC, BEC and ECD and give reasons for your answers.

Click for Teacher-Notes-GEO-PROB.

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