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Unformatted text preview: ath? Distance: (3) Bearing (3) Part B. Open Response Problems
1. Constructions. Leave compass markings to demonstrate your method. a. Construct a 30º60º90º triangle (3 points). b. Construct any triangle and its inscribed circle (3 points). Complete any two of the following four proofs (5 points each):
2. Triangle PYR has PY = YR. E is a point, not in plane PYR, such that PE = ER. If O is any point
on YE, prove that PO = OR. 3. How to fold a 60º angle on a piece of paper. A M P B ABCD is any rectangular piece of paper.
MN folds the paper in half and PQ folds the right half in
half again.
Then corner A is folded along MR to meet PQ at S. S Prove that BMS = 60º. R D N Q C 4. Given ABC with point N on BC, show that “N is the midpoint of BC” is not sufficient to conclude
that AN is the angle bisector of BAC . 5. Quadrilateral ABCD is a parallelogram. Points E and G are projections of A and C, respectively, on
diagonal BD. That is, E and G are the feet of altitudes drawn to BD from A and C, respectively.
Likewise, F and H are projections of B and D, respectively, on diagonal AC. Prove that the quadrilateral
EFGH is a parallelogram.
A D
F
G E
H
B C...
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This document was uploaded on 03/10/2014 for the course MATH3224 CP2 Geomet at Lexington High.
 Fall '10
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