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Five-Minute Check (over Chapter 2) CCSS 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 Menu

Make a conjecture about the next number in the sequence, 5, 20, 80, 320. D. 1580 5-Minute Check 1

Make a conjecture about the next number in the sequence, 5, 20, 80, 320. D. 1580 5-Minute Check 1

B. If you live in Massachusetts, then you do not live in Boston. 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 2

B. If you live in Massachusetts, then you do not live in Boston. 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 2

A. 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. Yes, A and B are a linear pair. B. no conclusion 5-Minute Check 3

A. 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. Yes, A and B are a linear pair. B. no conclusion 5-Minute Check 3

A. Substitution Property B. Reflexive Property Name the property that justifies the statement. If m1 + m2 = 75 and m2 = m3, then m1 + m3 = 75. A. Substitution Property B. Reflexive Property C. Addition Property D. Symmetric Property 5-Minute Check 4

A. Substitution Property B. Reflexive Property Name the property that justifies the statement. If m1 + m2 = 75 and m2 = m3, then m1 + m3 = 75. A. Substitution Property B. Reflexive Property C. Addition Property D. Symmetric Property 5-Minute Check 4

Find m1 and m2 if m1 = 8x + 18 and m2 = 16x – 6 and m1 and m2 are supplementary. A. m1 = 106, m2 = 74 B. m1 = 74, m2 = 106 C. m1 = 56, m2 = 124 D. m1 = 14, m2 = 166 5-Minute Check 5

Find m1 and m2 if m1 = 8x + 18 and m2 = 16x – 6 and m1 and m2 are supplementary. A. m1 = 106, m2 = 74 B. m1 = 74, m2 = 106 C. m1 = 56, m2 = 124 D. m1 = 14, m2 = 166 5-Minute Check 5

The measures of two complementary angles are x + 54 and 2x 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 6

The measures of two complementary angles are x + 54 and 2x 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 6

Mathematical Practices Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. CCSS

You used angle and line segment relationships to prove theorems. Identify relationships between two lines or two planes. Name angle pairs formed by parallel lines and transversals. Then/Now

consecutive interior angles alternate interior angles parallel lines skew lines parallel planes transversal interior angles exterior angles consecutive interior angles alternate interior angles alternate exterior angles corresponding angles Vocabulary

Concept

A. Name all segments parallel to BC. Identify Parallel and Skew Relationships A. Name all segments parallel to BC. Answer: Example 1

A. Name all segments parallel to BC. Identify Parallel and Skew Relationships A. Name all segments parallel to BC. Answer: AD, EH, FG Example 1

B. Name a segment skew to EH. Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer: Example 1

B. Name a segment skew to EH. Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer: AB, CD, BG, or CF Example 1

C. Name a plane parallel to plane ABG. Identify Parallel and Skew Relationships C. Name a plane parallel to plane ABG. Answer: Example 1

C. Name a plane parallel to plane ABG. Identify Parallel and Skew Relationships C. Name a plane parallel to plane ABG. Answer: plane CDE Example 1

A. Name a plane that is parallel to plane RST. A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX Example 1a

A. Name a plane that is parallel to plane RST. A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX Example 1a

B. Name a segment that intersects YZ. A. XY B. WX C. QW D. RS Example 1b

B. Name a segment that intersects YZ. A. XY B. WX C. QW D. RS Example 1b

C. Name a segment that is parallel to RX. A. ZW B. TZ C. QR D. ST Example 1c

C. Name a segment that is parallel to RX. A. ZW B. TZ C. QR D. ST Example 1c

Concept

Classify Angle Pair Relationships A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: Example 2

Answer: corresponding Classify Angle Pair Relationships A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: corresponding Example 2

Classify Angle Pair Relationships B. Classify the relationship between 1 and 7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: Example 2

Answer: alternate exterior 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 Example 2

Classify Angle Pair Relationships C. Classify the relationship between 3 and 8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: Example 2

Answer: consecutive interior 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 Example 2

Classify Angle Pair Relationships D. Classify the relationship between 3 and 5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: Example 2

Answer: alternate 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 Example 2

A. Classify the relationship between 4 and 5. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2a

A. Classify the relationship between 4 and 5. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2a

B. Classify the relationship between 7 and 9. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2b

B. Classify the relationship between 7 and 9. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2b

C. Classify the relationship between 4 and 7. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2c

C. Classify the relationship between 4 and 7. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2c

D. Classify the relationship between 2 and 11. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2d

D. Classify the relationship between 2 and 11. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2d

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: Example 3

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: Example 3

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. Example 3

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: Example 3

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. Example 3

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: Example 3

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. Example 3

A. HIKING A group of nature trails is shown 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 3a

A. HIKING A group of nature trails is shown 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 3a

B. HIKING A group of nature trails is shown 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 3b

B. HIKING A group of nature trails is shown 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 3b

C. HIKING A group of nature trails is shown 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 3c

C. HIKING A group of nature trails is shown 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 3c

End of the Lesson