Geometry
Quiz 6.1-6.3
Name _____________________________________
1. Use slope and distance to show that the quadrilateral ABCD with vertices A(0, 2), B(3, 3), C(2, 0), D(-1,-1) is a rhombus.
Explain your reasoning.
Slope
Distance
AB :
______
______
BC :
______
______

CD :
______
______

DA :
______
______


Explanation:
Find the values of the variables for which each figure is a parallelogram.
2.
3.
x = _____ y = ______
4.
x = ______ y = ______
x = ______ y = ______ z = ______
Tell if each of following quadrilaterals can be proven to be parallelograms. If yes, justify.
5.
6.
7.
8. Complete the proof for Theorem 6.8 by filling in the table below.
Statements
Reasons
1. AC || BD , AC  BD
1.
2. 1  4
2.
3. AD  AD
3.
4.
ACD  DBA
4.
5.
2  3
5.
6. AB || CD
6.
7.
ABCD
7.