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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

Lesson MenuB

C

D

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

A. 380

B. 395

C. 1280

D. 1580

5-Minute Check 1B

C

D

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

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.

5-Minute Check 2B

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. Yes, A and B are a linear pair.

B. no conclusion

5-Minute Check 3B

C

D

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

A. Substitution Property

B. Reflexive Property

C. Addition Property

D. Symmetric Property

5-Minute Check 4B

C

D

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

A.m1 = 106, m2 = 74

B.m1 = 74, m2 = 106

C.m1 = 56, m2 = 124

D.m1 = 14, m2 = 166

5-Minute Check 5B

C

D

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

A. 24

B. 42

C. 68

D. 84

5-Minute Check 6LA.1112.1.6.1The student will use new vocabulary that is introduced and taught directly.

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

NGSSSYou 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 theorems. (Lesson 2–8)
- skew lines
- parallel planes
- transversal
- interior angles
- exterior angles

- consecutive interior angles
- alternate interior angles
- alternate exterior angles
- corresponding angles

Concept theorems. (Lesson 2–8)

A. theorems. (Lesson 2–8) Name all segments parallel to BC.

Answer:AD, EH, FG

Identify Parallel and Skew Relationships

Example 1B. theorems. (Lesson 2–8) Name a segment skew to EH.

Answer:AB, CD, BG, or CF

Identify Parallel and Skew Relationships

Example 1Identify Parallel and Skew Relationships theorems. (Lesson 2–8)

C. Name a plane parallel to plane ABG.

Answer: plane CDE

Example 1A theorems. (Lesson 2–8)

B

C

D

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

A. plane WTZ

B. plane SYZ

C. plane WXY

D. plane QRX

Example 1aA theorems. (Lesson 2–8)

B

C

D

C. Name a segment that is parallel to RX.

A.ZW

B.TZ

C.QR

D.ST

Example 1cConcept theorems. (Lesson 2–8)

Classify Angle Pair Relationships theorems. (Lesson 2–8)

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

Answer: corresponding

Example 2Classify Angle Pair Relationships theorems. (Lesson 2–8)

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

Answer: alternate exterior

Example 2Classify Angle Pair Relationships theorems. (Lesson 2–8)

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

Answer: consecutive interior

Example 2Classify Angle Pair Relationships theorems. (Lesson 2–8)

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

Answer: alternate interior

Example 2A theorems. (Lesson 2–8)

B

C

D

A. Classify the relationship between 4 and 5.

A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

Example 2aA theorems. (Lesson 2–8)

B

C

D

B. Classify the relationship between 7 and 9.

A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

Example 2bA theorems. (Lesson 2–8)

B

C

D

C. Classify the relationship between 4 and 7.

A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

Example 2cA theorems. (Lesson 2–8)

B

C

D

D. Classify the relationship between 2 and 11.

A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

Example 2dIdentify Transversals and Classify Angle Pairs theorems. (Lesson 2–8)

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.

Example 3Identify Transversals and Classify Angle Pairs theorems. (Lesson 2–8)

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.

Example 3Identify Transversals and Classify Angle Pairs theorems. (Lesson 2–8)

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.

Example 3A theorems. (Lesson 2–8)

B

C

D

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

A. lines c, f

B. lines c, d, e

C. lines c, d, f

D. lines c, d, e, f

Example 3aA theorems. (Lesson 2–8)

B

C

D

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

A. no lines

B. lines c, f

C. lines c, d, e, f

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

Example 3bA theorems. (Lesson 2–8)

B

C

D

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

A. no lines

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

C. lines a, d, f

D. lines a, b, e

Example 3cEnd of the Lesson theorems. (Lesson 2–8)

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