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mathematics
holt mcdougal larson geometry

Questions and Answers of Holt McDougal Larson Geometry

Which car has better gas mileage? seg remaining Gas Mileage A B Distance driven
Use the diagram and the given information to write a two-column or paragraph proof. GIVEN a b, 42 = 23 PROVE ► c d 3 d 2 4 a b
In Exercises 36 and 37, use the diagram to write a paragraph proof.In the diagram, assume ∠2 = ∠7. Prove the Alternate Exterior Angles Converse. 12 34 5 6 78 m
Ladder safety guidelines include the following recommendation about ladder placement. The horizontal distance h between the base of the ladder and the object the ladder is resting against should be
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. P(0,5), x = 20
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. P(-8, 0), 3x - 5y = 6
Use the diagram to write two examples of each postulate.Through any two points there exists exactly one line. P C .А D F Q E
Use the diagram to write two examples of each postulate.Through any three noncollinear points there exists exactly one plane. P C •A F D Q E
Graph the equation. 8x + 2y = -10
Use the diagram at the right for Exercises 24 and 25.In the diagram, assume j ∣∣ k. How many angle measures must be given in order to find the measure of every angle? Explain your reasoning.
Compare the graphs of the three lines described below. Which is most steep? Which is the least steep? Include a sketch in your answer.Line a: through the point (3, 0) with a y-intercept of
Is the point (-1, -7) on the line y = 2x - 5? Explain.
Classify the pairs of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. 21 and 28
The length of which segment shown is called the distance between the two parallel lines? Explain. A CE G в D F Н
Classify the pairs of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. 22 and 26
Classify the pairs of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. 23 and 25
Match the description of the slope of a line with its graph. m is positive.
Write the theorem that justifies the statement. jik 1. 2 k
Classify the pairs of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. 24 and 25
Match the description of the slope of a line with its graph. m is negative.
Write an equation of the line shown. 1 (0,-2)] (-5, -3) y 1 x
Write an equation of the line shown. y (0, -4) (3, 0) X
Classify the pairs of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. 23 and 27
What does intercept mean in the expression slope-intercept form?
Match the description of the slope of a line with its graph. m is zero.
Write the theorem that justifies the statement. 24 and 25 are complementary. 4 5
Write the theorem that justifies the statement. 21 and 22 are right angles. 1 2
Draw a pair of parallel lines with a transversal. Identify all pairs of alternate exterior angles.
Classify the pairs of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. 23 and 26
Write an equation of the line shown. (-3, 4) y (1, -2) X
Describe what is meant by the slope of a nonvertical line.
Explain how you can use the standard form of a linear equation to find the intercepts of a line.
Use the theorems from the previous lesson and the converses of those theorems in this lesson. Write three biconditionals about parallel lines and transversals.
Match the description of the slope of a line with its graph. m is undefined.
What happens when you apply the slope formula to a horizontal line? What happens when you apply it to a vertical line?
Which equation is an equation of the line in the graph? (-2,2) -2- 4 y 1 XA
Write an equation of the line shown. (-3, 3) y (2, -3) X
Write an equation of the line shown. (-5, -1) 1 y 1 X (1, -3)
Write an equation of the line shown. y (1,0) 2 (5, 6) X
A student concluded that lines a and b are parallel. Describe and correct the student's error. xº a yo ab yº с all b x
Find the slope of the line that passes through the points.(3,5), (5, 6)
Find the slope of the line that passes through the points.(-2, 2), (2, -6)
Find the slope of the line that passes through the points.(-5, -1), (3, -1)
Find the slope of the line that passes through the points.(2, 1), (0, 6)
Write an equation of the line with the given slope m and y-intercept b. m = -5, b = -12
Describe and correct the error in finding the slope of the line. E || TIM x АУ 1 3 4 (2,1) 2 (6,4) ху X
Describe and correct the error in finding the slope of the line. Slope of the line through (2,7) and (4, 5) m = Y₂=Y₁ = 7=5=2=1 4-2 x₂-x₁ x
Write an equation of the line with the given slope m and y-intercept b. m = 3, b = 2
Is there enough information to prove m ∣∣ n? If so, state the postulate or theorem you would use. m
Tell whether the lines through the given points are parallel, perpendicular, or neither. Justify your answer. Line 1: (1, 0), (7,4) Line 2: (7, 0), (3, 6)
Write an equation of the line with the given slope m and y-intercept b. =-5,b=0 2' m =
Write an equation of the line with the given slope m and y-intercept b. m = 4, b = -6
Is there enough information to prove m ∣∣ n? If so, state the postulate or theorem you would use. AE SY
Find the slope of the line that passes through the points. (3, -1), (3, 4)
Write an equation of the line with the given slope m and y-intercept b. m b=
Find the slope of the line that passes through the points. (2, 7), (-1, -3)
Is there enough information to prove m ∣∣ n? If so, state the postulate or theorem you would use. .m ո
Explain why the statement about the figure is incorrect. Ay AZ N Lines y and z are parallel. x
Tell whether the lines through the given points are parallel, perpendicular, or neither. Justify your answer. Line 1: (-3, 1), (-7, -2). Line 2: (2, -1), (8,4)
Tell whether the lines through the given points are parallel, perpendicular, or neither. Justify your answer. Line 1: (-9, 3), (-5, 7) Line 2: (-11, 6), (-7, 2)
Explain how to draw two parallel lines using only straightedge and a protractor.
Is there enough information to prove m ∣∣ n? If so, state the postulate or theorem you would use. S AE 5
Explain why the statement about the figure is incorrect. 12 cm, 60° C A B The distance from AB to point C is 12 cm. x
Describe how you can fold a sheet of paper to create two parallel lines that are perpendicular to the same line.
Graph the line through the given point with the given slope. P(3,-2), slope - 1 6
Write an equation of the line with the given slope m and y-intercept b. m = 11 5 b = -12
Find the slope of the line that passes through the points. (0, 5), (-6, 12)
Is there enough information to prove m ∣∣ n? If so, state the postulate or theorem you would use. S AE C
Graph the line through the given point with the given slope. P(-4, 0), slope 5
Write an equation of the line that passes through the given point P and has the given slope m. P(-1,0), m= −1 -1
Write an equation of the line that passes through the given point P and has the given slope m. P(5, 4), m = 4
Write an equation of the line that passes through the given point P and has the given slope m. P(-2, 4), m = 3
Graph the line through the given point with the given slope. P(0, 5), slope:
Write an equation of the line that passes through the given point P and has the given slope m. P(7, 12), m= -0.2
Write an equation of the line that passes through the given point P and has the given slope m. P(6, -2), m = 3
Write an equation of the line that passes through the given point P and has the given slope m. P(3, 5), m = -8
Determine which lines, if any, must be parallel. Explain your reasoning. m k n Р
Tell which line through the given points is steeper. Line 1: (-2, 3), (3, 5) Line 2: (3, 1), (6, 5)
Write an equation of the line that passes through the given point P and has the given slope m. P(-8, -2), m= 2/3
Use lined paper to draw two parallel lines cut by a transversal. Use a protractor to measure one angle. Find the measures of the other seven angles without using the protractor. Give a theorem or
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. P(1, 3), y = 2x - 1
Can you prove that lines a and b are parallel? If so, explain how. a 107⁰ 73° b
Tell which line through the given points is steeper. Line 1: (-2, -1), (1, 2) Line 2: (-5, -3), (-1,-4)
Determine which lines, if any, must be parallel. Explain your reasoning. SY Ad
Write an equation of the line that passes through the given point P and has the given slope m. P(0, -3), m= 1 6
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. P(0, 2), y = -x + 3
Write an equation of the line that passes through the given point P and has the given slope m. P(-13, 7), m = 0
Can you prove that lines a and b are parallel? If so, explain how. 114% 66° 48° a b
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. P(2, -3), x - y = 4
Determine which lines, if any, must be parallel. Explain your reasoning. W AZ
Tell which line through the given points is steeper. Line 1: (-4, 2), (-3, 6) Line 2: (1, 6), (3, 8)
Can you prove that lines a and b are parallel? If so, explain how. 144° a 36° 144°
Explain why the distance between two lines is only defined for parallel lines.
A student decided that AD || BC based on the diagram below. Describe and correct the student's error. A D B C AD || BC x
Write an equation of a line with undefined slope that passes through the point (3, -2).
Use the Distance Formula to find the distance between the two parallel lines. Round to the nearest tenth, if necessary. 1 X
Find the slope of line n perpendicular to line h and passing through point P. Then copy the graph and graph line n. 1- (-3,-2) y (3, 1) 2 P(3, -3) h X
Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(0, 1), y = −2x + 3
Use the diagram at the right. You know that ∠1 ≅ ∠4. What can you conclude? Р 2 4 3 S
Use the Distance Formula to find the distance between the two parallel lines. Round to the nearest tenth, if necessary. 1 y 1 X

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