Splash Screen

Five-Minute Check (over Chapter 2)

NGSSS

Then/Now

New Vocabulary

Key Concepts: Parallel and Skew

Example 1: Real-World Example: Identify Parallel and Skew Relationships

Key Concepts: Transversal Angle Pair Relationships

Example 2: Classify Angle Pair Relationships

Example 3: Identify Transversals and Classify Angle Pairs

Over Chapter 2

A. A

B. B

C. C

D. D A B C D

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A. 380

B. 395

C. 1280

D. 1580

Make a conjecture about the next number in the sequence, 5, 20, 80, 320.

Over Chapter 2

A. A

B. B

C. C

D. D A B C D

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A. If you do not live in Massachusetts, then you do not live in Boston.

B. If you live in Massachusetts, then you do not live in Boston.

C. If you do not live in Massachusetts, then you live in Boston.

D. You might live in Massachusetts or Boston.

Write the contrapositive of this statement. If you live in Boston, then you live in Massachusetts.

Over Chapter 2

A. A

B. BA. Yes, A and B are a linear pair.

B. no conclusion

Use the Law of Detachment or the Law of Syllogism to determine whether a valid conclusion can be reached from the following set of statements. If two angles form a linear pair and are congruent, they are both right angles. A and B are both right angles.

A B

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Over Chapter 2

A. A

B. B

C. C

D. D A B C D

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A. Substitution Property

B. Reflexive Property

C. Addition Property

D. Symmetric Property

Name the property that justifies the statement.If m1 + m2 = 75 and m2 = m3, then m1 + m3 = 75.

Over Chapter 2

A. A

B. B

C. C

D. D A B C D

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A. m1 = 106, m2 = 74

B. m1 = 74, m2 = 106

C. m1 = 56, m2 = 124

D. m1 = 14, m2 = 166

Find m1 and m2 if m1 = 8x + 18 and m2 = 16x – 6 and m1 and m2 are supplementary.

Over Chapter 2

A. A

B. B

C. C

D. D A B C D

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A. 24

B. 42

C. 68

D. 84

The measures of two complementary angles are x + 54 and 2x. What is the measure of the smaller angle?

LA.1112.1.6.1 The student will use new vocabulary that is introduced and taught directly.

MA.912.G.1.3 Identify and use the relationships between special pairs of angles formed by parallel lines and transversals.

You used angle and line segment relationships to prove theorems. (Lesson 2–8)

• Identify relationships between two lines or two planes.

• Name angle pairs formed by parallel lines and transversals

• parallel lines

• skew lines

• parallel planes

• transversal

• interior angles

• exterior angles

• consecutive interior angles

• alternate interior angles

• alternate exterior angles

• corresponding angles

Identify Parallel and Skew Relationships

Answer: AD, EH, FG

A. Name all segments parallel to BC.

Identify Parallel and Skew Relationships

B. Name a segment skew to EH.

Answer: AB, CD, BG, or CF

C. Name a plane parallel to plane ABG.

Identify Parallel and Skew Relationships

Answer: plane CDE

A. A

B. B

C. C

D. D A B C D

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A. plane WTZ

B. plane SYZ

C. plane WXY

D. plane QRX

A. Name a plane that is parallel to plane RST.

A. A

B. B

C. C

D. D A B C D

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B. Name a segment that intersects YZ.

A. XY

B. WX

C. QW

D. RS

A. A

B. B

C. C

D. D A B C D

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C. Name a segment that is parallel to RX.

A. ZW

B. TZ

C. QR

D. ST

Classify Angle Pair Relationships

A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Answer: corresponding

Classify Angle Pair Relationships

B. Classify the relationship between 1 and 7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Answer: alternate exterior

Classify Angle Pair Relationships

C. Classify the relationship between 3 and 8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Answer: consecutive interior

Classify Angle Pair Relationships

D. Classify the relationship between 3 and 5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Answer: alternate interior

A. A

B. B

C. C

D. D A B C D

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A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

A. Classify the relationship between 4 and 5.

A. A

B. B

C. C

D. D A B C D

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A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

B. Classify the relationship between 7 and 9.

A. A

B. B

C. C

D. D A B C D

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A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

C. Classify the relationship between 4 and 7.

A. A

B. B

C. C

D. D A B C D

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A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

D. Classify the relationship between 2 and 11.

Identify Transversals and Classify Angle Pairs

A. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 1 and 2. Then classify the relationship between the pair of angles.

Answer: The transversal connecting 1 and 2 is line v. These are corresponding angles.

Identify Transversals and Classify Angle Pairs

B. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 2 and 3. Then classify the relationship between the pair of angles.

Answer: The transversal connecting 2 and 3 is line v. These are alternate interior angles.

Identify Transversals and Classify Angle Pairs

C. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 4 and 5. Then classify the relationship between the pair of angles.

Answer: The transversal connecting 4 and 5 is line y. These are consecutive interior angles.

A. A

B. B

C. C

D. D A B C D

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A. lines c, f

B. lines c, d, e

C. lines c, d, f

D. lines c, d, e, f

A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal.

A. A

B. B

C. C

D. D A B C D

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A. no lines

B. lines c, f

C. lines c, d, e, f

D. lines a, c, d, e, f

B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal.

A. A

B. B

C. C

D. D A B C D

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A. no lines

B. lines a, b, d, e, f

C. lines a, d, f

D. lines a, b, e

C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal.