geometry ch. 2 review
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Geometry Ch. 2 Review. Chapter 1. Conditional Statements. Constructions. Proofs, Props, Posts. Proofs. 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. Chapter 1– 10 Points. QUESTION: - PowerPoint PPT PresentationTRANSCRIPT
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Geometry Ch. 2 Review
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ProofsChapter 1 Conditional Statements Constructions Proofs,
Props, Posts.
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Chapter 1– 10 Points
QUESTION:Complementary angles sum to what measure?
ANSWER:•90°
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Chapter 1– 20 Points
QUESTION:Sketch & label:
Points F, R, and G are collinear and R is the midpoint of .
ANSWER:
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Chapter 1– 30 Points
QUESTION:• and are supplementary. If and , classify ? (hint: finding the measure first would be a good start…)ANSWER:
• is obtuse
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Chapter 1– 40 Points
QUESTION: H bisects . If and , what is the value of ?
ANSWER:
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Chapter 1– 50 PointsQUESTION:
An angle is ten less than four times its complement. What are the measures of the angles?
ANSWER:
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Conditional Statements– 10 PointsQUESTION:
Write the statement below as a conditional statement:
Jack will fall if he fetches the water.
ANSWER:If Jack fetches the water, then he will
fall.
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Conditional Statements– 20 PointsQUESTION:Identify the hypothesis & conclusion in the statement:
Goldie will win the tournament if she beats Joy.
ANSWER: Hypothesis: Goldie beats JoyConclusion: Goldie will win the tournament
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Conditional Statements– 30 PointsQUESTION: Consider the statement:If it is Sunday, then Chloe visits her grandma.It is Sunday.
Make a conjecture and name the law that supports your conjecture.
ANSWER: Chloe will visit her grandma; the Law of Detachment.
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Conditional Statements– 40 PointsQUESTION: Is the conjecture Valid or Invalid?If a polygon has three sides, then it is a triangle. If a triangle has a 90 degree angle, then it is a right triangle. Conjecture: If a polygon has three sides, then it is a right triangle.ANSWER: Invalid—misapplication of the law of syllogism.
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Conditional Statements– 50 Points
QUESTION:Write the contrapositive and the biconditional form of the statement below. State whether each is true or false (if false, give a counterexample)
If and are vertical, then and are .
ANSWER:Contrapositive: If and are not , then and are not vertical. (TRUE)Biconditional: and are vertical IFF and are .
(FALSE and don’t have to touch)
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Constructions– 10 PointsQUESTION: Name the two tools used in geometric constructions.
ANSWER: Compass and straightedge
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Constructions– 20 PointsQUESTION:
Jerry is in the process of doing the angle bisector construction. His work is shown below. What should be his next step?
ANSWER:Create a ray starting at the vertex,
through the intersection of the arcs.
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Constructions– 30 PointsQUESTION:Which construction is shown below?
ANSWER:Perpendicular Bisector
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Constructions– 40 Points
QUESTION:Draw an obtuse angle and copy it (construction).
ANSWER:
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Constructions– 50 PointsQUESTION:Construct a 45 degree angle.
ANSWER:Perpendicular bisector, angle bisector.
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Proofs– 10 PointsQUESTION:
What is the property illustrated below:
ANSWER:Symmetric Property
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Proofs– 20 PointsQUESTION:
What is the definition that would be a reason for the following:
therefore .
ANSWER:Definition of congruent segments
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Proofs– 30 Points
QUESTION:Provide a reason for the statement below:
ANSWER:•Substitution
Angle Add. Post.
?????
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Proofs– 40 PointsQUESTION: Toby needs help writing a proof to show that . Complete his proof.
Statements Reasons1. is a straight angle;, 1.
2. 2. Angle Add. Post.3. 3. 4. 4. Simplify5. 5. 6. 6. 7. 7. Substitution8. 8. Simplify
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Proofs– 50 PointsQUESTION: Prove the following:If and , then
𝟏𝟐
Statements Reasons1. 1. 2. 2. Vertical Angles Thm.
3. 3. 4. 4. 5. 5. 6. 6. 7. 7. Division Prop. =8. 8. 9. 9.
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Topic 5 – 10 Points
QUESTION:
• This isometric transformation would not result in AA’ parallel to BB’.
ANSWER:
• What is a rotation?
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Topic 5 – 20 Points
QUESTION:
• These are the three isometric transformations we studied.
ANSWER:
• Reflection, Translation and Rotation.
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Topic 5 – 30 Points
QUESTION:
• In this transformation, no point will ever remain in the same position.
ANSWER:
• What is a translation?
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Topic 5 – 40 Points
QUESTION:
• If I reflect a figure across y = 4 and then across y = 9, this is the result.
ANSWER:
• What is a translation up 10 units?
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Topic 5 – 50 Points
QUESTION:
• If I reflect a figure across both lines that intersect at a 64 degree angle, this is the result.
ANSWER:
• What is a rotation of 128 degrees?