



 
Hi Izzy, I changed the scale in order to fit a diagram on a piece of paper. I want to construct an isosceles triangle with a base of length 10 cm. Draw a line segment of length 10 cm. Label the end points A and B. Set the distance between the point and pencil point of a compass to be 8 cm. Place the point at B and draw an arc above the midpoint of AB. Without changing the setting on the compass place the point at A and draw an arc to intersect the first arc. Label the point of intersection C and join A to C and then B to C. You now have an isosceles triangle with base of length 10 cm and the other two sides of length 8 cm. Set the compass so that the distance between the point and the pencil point is 4 cm. Perform the same construction as above. What can you say about an isosceles triangle with base of length 10 cm and the other two sides of length 4 cm? Set the compass so that the distance between the point and the pencil point is 5 cm. Perform the same construction as above. What can you say about an isosceles triangle with base of length 10 cm and the other two sides of length 5 cm? Penny  


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