Geometry CPA Unit 2 Summative #2
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Questions and Answers

What is the special angle pair between ∠2 and ∠6?

  • Alternate Interior Angles
  • Alternate Exterior Angles
  • NONE (correct)
  • Corresponding Angles

What is the transversal when considering ∠1 and ∠12?

  • Angle 3
  • Angle 4
  • Angle 5
  • NONE (correct)

Identify the special angle pair between ∠10 and ∠13.

  • NONE (correct)
  • Corresponding Angles
  • Alternate Exterior Angles
  • Same-side Interior Angles

What is the special angle pair between ∠6 and ∠15?

<p>NONE (D)</p> Signup and view all the answers

Are lines p and q parallel?

<p>True (A)</p> Signup and view all the answers

What is the theorem/postulate for lines p and q being parallel?

<p>Corresponding Angles Postulate</p> Signup and view all the answers

If y || z, what is the value of x?

<p>__</p> Signup and view all the answers

If q || r, what is the value of x?

<p>__</p> Signup and view all the answers

If l || m, what is the value of x?

<p>__</p> Signup and view all the answers

If y || z, what is the value of y?

<p>__</p> Signup and view all the answers

Given that ∠8 ≅ ∠19, which lines are parallel?

<p>NONE (A)</p> Signup and view all the answers

Given that ∠13 ≅ ∠15, which lines are parallel?

<p>NONE (C)</p> Signup and view all the answers

Given that ∠14 and ∠18 are supplementary, which lines are parallel?

<p>NONE (B)</p> Signup and view all the answers

Given that ∠11 ≅ ∠6, which lines are parallel?

<p>NONE (B)</p> Signup and view all the answers

Complete the proof for ∠2 and ∠4 being supplementary to prove lines l and m are parallel.

<p>Statement 1: ∠2 and ∠4 are supplementary. Reason: Given.</p> Signup and view all the answers

Complete the proof for a || b and c || d to prove m∠1 = m∠2.

<p>Statement 1: a || b and c || d. Reason: Given.</p> Signup and view all the answers

Flashcards

Special angle pair

Angles created when a transversal intersects two or more lines.

Transversal

A line that intersects two or more coplanar lines at different points.

Parallel lines

Lines in a plane that never intersect.

Supplementary angles

Two angles that add up to 180 degrees.

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Consecutive Interior Angles

Angles on the interior of two lines cut by a transversal that are on the same side of the transversal

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Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then corresponding angles are congruent.

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Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

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Alternate Exterior Angles Theorem

If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.

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Consecutive Interior Angle theorem

If two parallel lines are cut by a transversal, then consecutive interior angles are supplementary.

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Parallel Postulate

If a given line and transversal intersect, then one and only one line that passes through a given point outside the line, can be drawn parallel to the first line

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Study Notes

Geometry CPA Unit 2 Summative #2

  • Geometry CPA Unit 2 Summative #2 is a test covering angle pairs, transversals, and parallel lines.
  • The test assesses understanding of angle relationships and the theorems/postulates associated with parallel lines.
  • Angle Pair Identification: Students need to identify special angle pairs (e.g., vertical angles, alternate interior angles, corresponding angles) and the transversal that relates them.
  • Parallel Lines: Students must determine if lines are parallel based on given angle relationships and apply relevant theorems and postulates like alternate interior angles theorem and supplementary angles.

Angle Pair Identification

  • Problem 1: Identify the special angle pair and the transversal for angles 2 and 6.
  • Problem 2: Identify the special angle pair and the transversal for angles 1 and 12.
  • Problem 3: Identify the special angle pair and the transversal for angles 10 and 13.
  • Problem 4: Identify the special angle pair and the transversal for angles 26 and 215.

Parallel Lines

  • Problem 5: Determine if lines p and q are parallel, justifying the answer with a theorem or postulate.

Geometry Proofs (Questions 13 and 14)

  • Problem 13: A proof involving supplementary angles is given. The task is to fill the missing statements and reasons.
  • Problem 14: A proof involving parallel lines intersected by a transversal is provided. The required statements and reasons for the proof are missing and need to be completed.

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Description

This quiz assesses your knowledge of angle pairs, transversals, and parallel lines in Geometry. It covers concepts related to special angle pairs and theorems regarding parallel lines. Prepare to identify angle relationships and apply relevant geometric principles.

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