Chapter 5 Parallel Lines & Related Figures Created by Educational Technology Network. www.edtechnetwork.com 2009

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

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

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

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

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

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

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. 5. AGC ≅ BED 5. SAS 6. <GCA ≅ <D 6. CPCTC 7. GC || ED 7.

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

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

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

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

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

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

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

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

Figure Me Out – 50 Points QUESTION: ANSWER: G: AD || BC M<1 = 5.63x + 2.42, <2 = 2.1x, <3 = 6x – 5.1, <4 = 42 Find m< 1. Is DC || AB? ANSWER: 116.85 No

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

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

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

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

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

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

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

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

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

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