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Name _________________________ Date ___________
Honors Geometry
Worksheet #1 – Chapter 5
1.
Given: a || b; 1 = (x + 3y); 2 = (2x + 30); 3 = (5y + 20)
Find: m 1
a
1
2
3
2.
Draw
a.
b.
c.
b
an equilateral quadrilateral that is not equiangular.
An equiangular quadrilateral that is not equilateral.
Draw three different quadrilaterals that have congruent diagonals.
3.
Prove: If a quadrilateral has 4 congruent sides, then the diagonals bisect the opposite angles.
4.
Prove: If a quadrilateral has both pair of opposite sides parallel then both pairs of opposite sides are
congruent.
5.
Prove: If a quadrilateral has four right angles then the diagonals are congruent.
6.
Write your own crook problem. Make sure that it can be solved with only the angles that you supply and
that you supply the minimum necessary to get the job done!
7.
Investigate the squares below and list as many properties as you can find.