Lesson 5.6
Investigation 1
What can you draw with the double-edge straightedge ?
Steps 1,2,3
draw two pairs of parallel lines that intersect eachother
copy one of the sides of the parallelogram
compare lengths
copy and complete the conjecture
Double edge straightedge conjecture
If two parallel lines are intersected by a second pair of parallel lines that are the same distance apart as the first pair, then the parallelogram formed is a rhombus.
Investigation 2
Do rhombus diagonals have special properties ?
Rhombus Diagonals Conjecture
The diagonals o a rhombus are bisectors and they are perpendicular
Rhombus Angles Conjecture
The diagonals of a rhombus bisect the angles of a rhombus
Investigation 3
Do rectangle diagonals have special properties ?
Rectangle Diagonals Conjecture
The diagonals of a rectangle are congruent and bisect eachother
Square Diagonals Conjecture
The diagonals of a square are congruent perpendicular bisectors