1. Chapter 5 Parallel Lines & Related Figures
Created by Educational Technology Network

2. Vocabulary, Theorems, Definitions, & Properties
Prove it or Loose It
Figure me out
Election Day
What am I thinking? 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50

3. Vocabulary, Theorems, Definitions, & Properties– 10 Points
QUESTION:
A quadrilateral whose consecutive sides measure 15, 18, 15, and 18.
ANSWER:
Parallelogram

4. Vocabulary, Theorems, Definitions, & Properties – 20 Points
QUESTION:
A quadrilateral whose consecutive sides measure 15, 18, 18, 15
ANSWER:
Kite

5. Vocabulary, Theorems, Definitions, & Properties – 30 Points
QUESTION:
A quadrilateral with consecutive angles of 30°, 150°, 110°, and 70°.
ANSWER:
Trapezoid

6. Vocabulary, Theorems, Definitions, & Properties – 40 Points
QUESTION:
A quadrilateral whose diagonals are perpendicular and congruent and bisect each other.
ANSWER:
Square

7. Vocabulary, Theorems, Definitions, & Properties – 50 Points
QUESTION:
A quadrilateral whose congruent diagonals bisect each other and bisect the angles
ANSWER:
Square

8. Prove it or Loose It – 10 Points
QUESTION:#9
G: AB ≅ CD, AG ≅ BE, AG || BE
F: GC || ED
ANSWER:
|| lines then coors <‘s ≅
Corr <‘s ≅ then || lines
Statement
Reason
1. AB ≅ CD, AG ≅ BE, AG || BE
Given
2. BC ≅ BC
2. Reflexive Prop.
3. AC ≅ BD
3. Addition Prop.
4. <A ≅ < EBD 4.
AGC ≅ BED
5. SAS
6. <GCA ≅ <D
6. CPCTC
7. GC || ED 7.

9. Prove it or Loose It – 20 Points
QUESTION: 10
Show that ABCD is an isosceles trapezoid.
ANSWER:
|| lines then alt int < ≅

10. Prove it or Loose It – 30 Points
QUESTION: 21
If the bisector of an exterior angle formed by extending one of the sides of a triangle is parallel to a side of the triangle, the triangle is isosceles.
ANSWER:
Opp sides of parallelogram are ≅
Statement
Reason
1. HJKM is a parallelogram, <JHP ≅ <MKO,
Given
2. HJ ≅ MK
3. HJ || MK
Opp sides of parallelogram are ||
4. <HJP ≅ < KMO
4. || lines then alt int <‘s ≅
5. HJP ≅ KMO
5. ASA
6. JP ≅ MO
6. CPCTC
7. OP ≅ OP
7. Reflexive Prop
8. MP ≅ JO
8. Add Prop

11. Prove it or Loose It – 40 Points
QUESTION:
G: AB ≅DC, AB ⊥ BC, DC ⊥ BC
P: Triangle DEC is isoceles
ANSWER:
(type answer here)

12. Prove it or Loose It – 50 Points
QUESTION: 16 in 5.5
G: ABCD is a Rectangle, AF ≅ CE
P: DF || EB
ANSWER:

13. Figure Me Out – 10 Points QUESTION: ABCD is a parallelogram.
AB = 2x + 6
BC = 8
CD = x + 8
Find the perimeter of ABCD.
ANSWER: 36

14. Figure Me Out – 20 Points QUESTION: ANSWER:
Write an inequality stating the restrictions on x.
ANSWER:
0 < x < 25

15. Figure Me Out – 30 Points QUESTION: ANSWER: 3 JKMP is a rectangle
PK = .2x,
JM = x – 12
Find PK
ANSWER: 3

16. Figure Me Out – 40 Points QUESTION: ANSWER:
In a parallelogram, the measure of the one of the angles is twice that of another. Are these opposite angles or consecutive angles? Find the measure of each angle of the parallelogram.
ANSWER:
Consecutive; 60, 120, 60, 120

17. Figure Me Out – 50 Points QUESTION: ANSWER: G: AD || BC
M<1 = 5.63x , <2 = 2.1x, <3 = 6x – 5.1, <4 = 42
Find m< 1.
Is DC || AB?
ANSWER:
116.85 No

18. Election Day – 10 Points QUESTION: ANSWER:
Who is your current president?
ANSWER:
Barack Obama

19. Election Day – 20 Points QUESTION: ANSWER:
Who is your current Vice President?
ANSWER:
Joe Biden

20. Election Day – 30 Points QUESTION: ANSWER:
True or False Mitt Romney is the democrat representative in this election 2012.
ANSWER:
False he is the Republican Representative

21. Election Day – 40 Points QUESTION: ANSWER:
True or False Hilary Clinton is the Secretary of Interior.
ANSWER:
False Hilary Clinton is the Secretary of State

22. Election Day – 50 Points QUESTION: ANSWER:
What was the first state in the United State?
A. Delaware
B. New York
C. Arizona
D. Maryland
ANSWER:
A. Delaware 1797

23. Who Am I? – 10 Points QUESTION: ANSWER:
What is the most descriptive name for the quadrilateral with vertices (0, -6), (-4,2), (4,6), and (8, -2)? Justify your conclusion.
ANSWER:
Square

24. Who Am I? – 20 Points
QUESTION: # 25
Find the value of x.
ANSWER: 70

25. Who Am I? – 30 Points QUESTION: ANSWER:
Who cares about my brothers and sisters I have diamonds! Lots and lots of diamonds. I love being alone!!!!
ANSWER:
Kite

26. Who Am I? – 40 Points QUESTION: ANSWER:
How dare that mean isosceles triangle just leave me alone to raise our kid. Its okay he looks more like me anyways. He just has his sides. Do you know my kid?
ANSWER:
Isosceles Trapezoid

27. What Am I Thinking? – 50 Points
QUESTION:
If I have two alt interior angles on the same side and they are supplementary I can show that line a and line b are what two each other?
ANSWER:
Parallel Lines