Lesson Menu FiveMinute Check over Lesson 2 7

Lesson Menu Five-Minute Check (over Lesson 2– 7) Mathematical Practices Then/Now New Vocabulary Key Concept: Slope of a Line Example 1: Find the Slope of a Line Example 2: Use Slope and a Point on the Line Postulates: Parallel and Perpendicular Lines Example 3: Determine Line Relationships Example 4: Real World Example: Write Equations of Parallel or Perpendicular Lines

Over Lesson 2– 7 Classify the relationship between 1 and 5. A. corresponding angles B. vertical angles C. consecutive interior angles D. alternate exterior angles

Over Lesson 2– 7 Classify the relationship between 4 and 6. A. alternate interior angles B. alternate exterior angles C. corresponding angles D. vertical angles

Over Lesson 2– 7 In the figure, m 4 = 146. Find the measure of 7. A. 24 B. 34 C. 146 D. 156

Over Lesson 2– 7 In the figure, m 4 = 146. Find the measure of 10. A. 160 B. 146 C. 56 D. 34

Over Lesson 2– 7 In the figure, m 4 = 146. Find the measure of 11. A. 180 B. 160 C. 52 D. 34

Over Lesson 2– 7 In the map shown, 5 th Street and 7 th Street are parallel. At what acute angle do Strait Street and Oak Avenue meet? A. 76 B. 75 C. 53 D. 52

Mathematical Practices 1 Make sense of problems and persevere in solving them. 4 Model with mathematics. Content Standards G. GPE. 5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e. g. , find the equation of a line parallel or perpendicular to a given line that passes through a given point).

You used the properties of parallel lines to determine congruent angles. • Find the slope of a line and use slope to write the equation of a line. • Use slope to identify parallel and perpendicular lines.

• slope-intercept form • point-slope form

Find the Slope of a Line A. Find the slope of the line. Substitute (– 3, 7) for (x 1, y 1) and (– 1, – 1) for (x 2, y 2). Slope formula Substitution Simplify. Answer:

Find the Slope of a Line A. Find the slope of the line. Substitute (– 3, 7) for (x 1, y 1) and (– 1, – 1) for (x 2, y 2). Slope formula Substitution Simplify. Answer: – 4

Find the Slope of a Line B. Find the slope of the line. Substitute (0, 4) for (x 1, y 1) and (0, – 3) for (x 2, y 2). Slope formula Substitution Simplify. Answer:

Find the Slope of a Line B. Find the slope of the line. Substitute (0, 4) for (x 1, y 1) and (0, – 3) for (x 2, y 2). Slope formula Substitution Simplify. Answer: The slope is undefined.

Find the Slope of a Line C. Find the slope of the line. Substitute (– 2, – 5) for (x 1, y 1) and (6, 2) for (x 2, y 2). Slope formula Substitution Simplify. Answer:

Find the Slope of a Line C. Find the slope of the line. Substitute (– 2, – 5) for (x 1, y 1) and (6, 2) for (x 2, y 2). Slope formula Substitution Simplify. Answer:

Find the Slope of a Line D. Find the slope of the line. Substitute (– 2, – 1) for (x 1, y 1) and (6, – 1) for (x 2, y 2). Slope formula Substitution Simplify. Answer:

Find the Slope of a Line D. Find the slope of the line. Substitute (– 2, – 1) for (x 1, y 1) and (6, – 1) for (x 2, y 2). Slope formula Substitution Simplify. Answer: 0

A. Find the slope of the line. A. B. C. D.

A. Find the slope of the line. A. B. C. D.

B. Find the slope of the line. A. 0 B. undefined C. 7 D.

B. Find the slope of the line. A. 0 B. undefined C. 7 D.

C. Find the slope of the line. A. B. C. – 2 D. 2

C. Find the slope of the line. A. B. C. – 2 D. 2

D. Find the slope of the line. A. 0 B. undefined C. 3 D.

D. Find the slope of the line. A. 0 B. undefined C. 3 D.

Use Slope and a Point on the Line Write an equation in point-slope form of the line whose slope is that contains (– 10, 8). Then graph the line. Point-slope form Simplify.

Use Slope and a Point on the Line Graph the given point (– 10, 8). Use the slope to find another point 3 units down and 5 units to the right. Draw a line through these two points. Answer:

Use Slope and a Point on the Line Graph the given point (– 10, 8). Use the slope to find another point 3 units down and 5 units to the right. Draw a line through these two points. Answer:

Write an equation in point-slope form of the line whose slope is A. B. C. D. that contains (6, – 3).

Write an equation in point-slope form of the line whose slope is A. B. C. D. that contains (6, – 3).

Determine Line Relationships Determine whether and are parallel, perpendicular, or neither for F(1, – 3), G(– 2, – 1), H(5, 0), and J(6, 3). Graph each line to verify your answer. Step 1 Find the slopes of and .

Determine Line Relationships Step 2 Determine the relationship, if any, between the lines. The slopes are not the same, so and are not parallel. The product of the slopes is So, perpendicular. and are not

Determine Line Relationships Answer:

Determine Line Relationships Answer: The lines are neither parallel nor perpendicular. Check When graphed, you can see that the lines are not parallel and do not intersect in right angles.

Determine whether AB and CD are parallel, perpendicular, or neither for A(– 2, – 1), B(4, 5), C(6, 1), and D(9, – 2) A. parallel B. perpendicular C. neither

Determine whether AB and CD are parallel, perpendicular, or neither for A(– 2, – 1), B(4, 5), C(6, 1), and D(9, – 2) A. parallel B. perpendicular C. neither

Write Equations of Parallel or Perpendicular Lines y = mx + b Slope-Intercept form 0 = – 5(2) + b m = – 5, (x, y) = (2, 0) 0 = – 10 + b Simplify. 10 = b Answer: Add 10 to each side.

Write Equations of Parallel or Perpendicular Lines y = mx + b Slope-Intercept form 0 = – 5(2) + b m = – 5, (x, y) = (2, 0) 0 = – 10 + b Simplify. 10 = b Add 10 to each side. Answer: So, the equation is y = – 5 x + 10.

A. y = 3 x B. y = 3 x + 8 C. y = – 3 x + 8 D.

A. y = 3 x B. y = 3 x + 8 C. y = – 3 x + 8 D.