By symmetry, the circumcenter will lie on the y-axis. In particular, it will be where the perpendicular bisector of, say, side AC intersects the y-axis.

Problem 3

A pair of equal, nonadjacent sides means that one pair of opposite sides are congruent.
A pair of equal, nonadjacent angles means that one pair of opposite angles are congruent.

Play with the applet below and determine for yourself.

Problem 4

Each small triangle is Isosceles. Why? Is each triangle Equilateral? Why?

## Table of Contents

## Page 45

This is the BEST PAGE in all of Exeter!

This will be done in class.

## Page 46

## Problem 1

## Problem 2

By symmetry, the circumcenter will lie on the y-axis. In particular, it will be where the perpendicular bisector of, say, side AC intersects the y-axis.

## Problem 3

A pair of equal, nonadjacent sides means that one pair of opposite sides are congruent.

A pair of equal, nonadjacent angles means that one pair of opposite angles are congruent.

Play with the applet below and determine for yourself.

## Problem 4

Each small triangle is Isosceles. Why? Is each triangle Equilateral? Why?

## Problem 5

## Problem 6

Hint: Something to do with triangles.

## Problem 7

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## Problem 8 and 9

## Problem 10

## Problem 11

Does this applet help you to see how the length of this segment is related to the lengths of the two bases?

## Problem 12

## Problem 13

All of the triangle around the perimeter of the shape are equilateral (Why?).