Download Geometry Name: ____________________________________ Unit 6 Celebration of Knowledge

Geometry
Unit 6 Celebration of Knowledge
Name: ____________________________________
Graph quadrilateral ABCD. Then use slope and distance to prove what type of quadrilateral is given.
Explain your reasoning.
1. A(0, 5), B(-5, 0), C(0, -5), D(5, 0) – Square
Slope
Distance
AB : ______
______
BC : ______
______

CD : ______
______

DA : ______
______

Explanation:

2. A(-4, -4), B(-3, -1), C(1, 1), D(4, 0) – Isosceles Trapezoid
Slope
AB : ______
Distance
______
BC : ______

CD : ______

DA : ______


Explanation:
Find XY in each parallelogram. Justify each answer.
3.
4.
5.
XY = _______
XY = _______
XY = _______
Reason:
Reason:
Reason:
______


Find the values of the variables for each figure.
6.
7.
x = ________
9.
8.
x = ________ y = ________
10.
x = ________
11.
x = ________
x = ________
y = ________
y = ________
x = ________ y = ________
Find the measures of the numbered angles.
12.
13.
14.
m1  ______
m1  ______
m1  ______
m2  ______
m2  ______
m2  ______
m3  ______


m3  ______


15.

17.
m1  ______
m1  ______
m1  ______
m2  ______
m2  ______
m2  ______
m3  ______


16.




Determine the most precise name of quadrilateral DEFG from the information given.
18. EF  DG, FEG  DGE _______________
19. DE || FG, DG || EF, mDHG  90 ______________

20. DEF  FGD, GFDG _______________


21. DE  EF  FG  DG, DF  EG _______________
22. GD  DE, EF  FG, DE  EF ________________


Is there enough information to prove that the quadrilateral is a parallelogram? If so, justify.
23.
24.
25.