Challenge Problems

Challenge Problems
Lesson 15-1: Kites
1. The coordinates below represent three vertices of a convex kite. Write or describe the coordinates
of each point that could be the fourth vertex of the kite: (0, 0); (7, 3); (9, 6).
2. Use a compass and straightedge to copy scalene Δ𝑅𝑂𝑊. Then use your compass and straightedge
to construct kite 𝑅𝑂𝑊𝐴 such that ̅̅̅̅
𝑅𝑂 ≅ ̅̅̅̅
𝑅𝐴 and ̅̅̅̅̅
𝑂𝑊 ≅ ̅̅̅̅̅
𝐴𝑊.
O
W
R
3. Use a compass and straightedge to copy isosceles Δ𝑁𝑂𝐸. Then use your compass and straightedge
to construct kite 𝑁𝑂𝐸𝐿 such that ̅̅̅̅
𝑁𝐿 ≅ ̅̅̅̅
𝐸𝐿 and 𝑁𝐿 > 𝑁𝑂.
O
N
E