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mathematics
holt mcdougal larson geometry
Holt McDougal Larson Geometry 1st Edition Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff - Solutions
Find the perimeter of the equilateral figure with the given side length.Decagon, 33 in.
Find the perimeter of the equilateral figure with the given side length.Octagon, 2.5 ft
Use the Law of Detachment to make a valid conclusion.If a food has less than 140 milligrams of sodium per serving, then it is low sodium. A serving of soup has 90 milligrams of sodium per serving.
Use the picture of the cherry-picker for Exercises 34 and 35.Is the arm perpendicular, parallel, or skew to a telephone pole? Platform -Arm
Describe two lines in your classroom that are parallel, and two lines that are skew.
Use the picture of the cherry-picker for Exercises 34 and 35.Is the platform perpendicular, parallel, or skew to the ground? 188 Platform -Arm
Prove the second case of the Congruent Supplements Theorem where two angles are supplementary to congruent angles. GIVEN 21 and 22 are supplements. 23 and 24 are supplements. 21 = 24 PROVE
A flashlight beam is reflected off a mirror lying flat on the ground. Use the information given below to find m∠2. 2
Write a two-column proof for the second case of Theorem 2.5 where two angles are complementary to congruent angles.
Use the pyramid to write examples of the postulate indicated.Postulate 5 St Y X W
The Venn diagram at the right represents all of the musicians at a high school. Write an if-then statement that describes a relationship between the various groups of musicians. Chorus Musicians Band Jazz band
Copy and complete the statement. List all possible correct answers. ZBCG and? are consecutive interior angles.
Copy and complete the statement. List all possible correct answers. ZFCA and ? are alternate exterior angles.
Copy and complete the statement. List all possible correct answers. ZFCJ and ? are alternate interior angles.
Copy and complete the statement. List all possible correct answers. ZBCG and ? are corresponding angles.
Copy and complete the statement with sometimes, always, or never. Sketch examples to justify your answer. If two lines are skew to a third line, then they are _?__ skew to each other.
Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles. 28 and 24
Copy and complete the statement with sometimes, always, or never. Sketch examples to justify your answer. If two lines are not coplanar, then they? intersect.
Use the diagram at the right.Name two pairs of supplementary angles if AD and BC are parallel. D A C B
Find m∠1, m∠2, and m∠3. Explain your reasoning. 1 80° 2 3,
Copy and complete the statement with sometimes, always, or never. Sketch examples to justify your answer. If three lines intersect at one point, then they are_?__coplanar.
Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles. 22 and 211
Find m∠1, m∠2, and m∠3. Explain your reasoning. 1 2 3 115⁰
Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles. Z10 and 15
Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles. 26 and 213
What postulate or theorem justifies the statement about the diagram? 24 and 27 are supplementary.
Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles. 211 and 213
Find m∠1 and m∠2. Explain your reasoning. 1/2 122°
What postulate or theorem justifies the statement about the diagram? 24 = 25
Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles. 25 and 21
What postulate or theorem justifies the statement about the diagram? 42 = 27
Use the markings in the diagram. Is PRL NP? Explain.
Find m∠1 and m∠2. Explain your reasoning. 140° 2 1
Find m∠1 and m∠2. Explain your reasoning. 150° 2
What postulate or theorem justifies the statement about the diagram? 22 and 25 are supplementary.
What postulate or theorem justifies the statement about the diagram? 23= 26
Identify all pairs of angles of the given type.Alternate interior 2 3 4 5 6 78
Identify all pairs of angles of the given type.Corresponding 12 3 4 5 6 78
In the figure at the right, which angle has the same measure as ∠1? 1\2 لا 3 45
Identify all pairs of angles of the given type.Alternate exterior 1\2 3 4 56 78
Think of each segment in the diagram as part of a line. Which line (s) or plane(s) contain point B and appear to fit the description? Line (s) perpendicular to CD
Think of each segment in the diagram as part of a line. Which line (s) or plane(s) contain point B and appear to fit the description? Line (s) parallel to CD
Find the angle measure. Tell which postulate or theorem you use. If m2 4 = 65°, then m/1 = ?
Think of each segment in the diagram as part of a line. Which line (s) or plane(s) contain point B and appear to fit the description? Line (s) skew to CD
Find the angle measure. Tell which postulate or theorem you use. If m27 = 110°, then m/2 = ?
Find the angle measure. Tell which postulate or theorem you use. If m28 54°, then m/1 = ? . =
Think of each segment in the diagram as part of a line. Which line (s) or plane(s) contain point B and appear to fit the description?Plane (s) parallel to plane CDH A E 'H G
Use the markings in the diagram. Is PN || KM? Explain.
Find the angle measure. Tell which postulate or theorem you use. If m23 117°, then m25=_?. =
What postulate or theorem justifies the statement about the diagram? Z1 = 25
Use the markings in the diagram.Name a pair of parallel lines. L M P N K Q S R
Use the markings in the diagram.Name a pair of perpendicular lines. L M P N 7 K Q SO R
Plot the given points in a coordinate plane. Then determine whether AB and CD are congruent. A(-1,0), B(-1, −5), C(1, 2), D(-5, 2)
A table is set for dinner. Can the legs of the table and the top of the table lie in parallel planes? Explain why or why not.
Two parallel lines are cut by a transversal. Which pairs of angles are congruent? Which pairs of angles are supplementary?
Find the product of the integers.(15) (-3)
Copy and complete: A line that intersects two other lines is a ?.
Solve the equation. Write a reason for each step. 2x9= 15 - 4x
In Exercises 31-34, use the given statement to name two congruent angles. Then give a reason that justifies your conclusion. 25 is complementary to 12, and Z1 is complementary to 12.
Use the pattern below. Each figure is made of squares that are 1 unit by 1 unit.a. Find the distance around each figure. Organize your results in a table. b. Use your table to describe a pattern in the distances. c. Predict the distance around the 20th figure in this pattern. 1 2 3 4 5
Solve the equation. Write a reason for each step. 5x + 14 = −16
Plot the given points in a coordinate plane. Then determine whether AB and CD are congruent. A(1, 4), B(5, 4), C(3, 4), D(3, 0)
The scatter plot shows the number of person-to-person e-mail messages sent each year. Make a conjecture that could be true. Give an explanation that supports your reasoning. Number (trillions) ya 6 4 2 0 Worldwide E-mail Messages Sent 1996 1997 1998 1999 2000 2001 2002 2003 X
In Exercises 31-34, use the given statement to name two congruent angles. Then give a reason that justifies your conclusion. AB is perpendicular to CD, and AB and CD intersect at E.
Sketch two intersecting lines j and k. Sketch another pair of lines & and m that intersect at the same point as j and k and that bisect the angles formed by j and k. Line & is perpendicular to line m. Explain why this is true.
In Exercises 30-33, use the diagram.Name four coplanar points. B C A D F E P
Points A, B, C, and D represent stops, in order, along a subway route. The distance between Stops A and C is the same as the distance between Stops B and D.a. Draw a diagram to represent the situation. b. Use the Segment Addition Postulate to show that the distance between Stops A and B is the
Sketch two lines that intersect, and another line that does not intersect either one.
Give a real-world example of Postulate 6, which states that a line contains at least two points.
Give another name for the angle in the diagram below. Tell whether the angle appears to be acute, obtuse, right, or straight. ZACB
Find the indicated angle measure. |~ m/QST=?
In the diagram, points V, W, X, Y, and Z are collinear, VZ = 52, XZ = 20, and WX = XY = YZ. Find the indicated length.VW V W X Y Z
Use the diagram below. Tell whether the angles are vertical angles, a linear pair, or neither. 23 and 25
Copy and complete the statement. 2 8 km² = _?__m²
Find the coordinates of the midpoint of the segment with the given endpoints. S(-3, 3) and T(-8, 6)
In the diagram, points V, W, X, Y, and Z are collinear, VZ = 52, XZ = 20, and WX = XY = YZ. Find the indicated length.WY V W X Y Z
Use the diagram below. Tell whether the angles are vertical angles, a linear pair, or neither. 22 and 23
Sketch plane / intersecting plane K. Then draw a line & in plane J that intersects plane Kat a single point. A X C B D E
Find the indicated angle measure. fino mZADC = ?
Use the diagram below. Tell whether the angles are vertical angles, a linear pair, or neither. 27, 28, and 29
Describe the error made in finding the coordinates of the midpoint of a segment with endpoints S(8, 3) and 7(2, -1). (8=2,3-(-1)=(3, 2) x
Tell whether the statement is always, sometimes, or never true.A polygon is a plane figure.
Copy and complete the statement. 12 yd² = ? ft²
Find the indicated angle measure. 어 m∠NPM= ?
Name 10 different rays in the diagram at the right. Then name 2 pairs of opposite rays. C/ D A B E
In the diagram, points V, W, X, Y, and Z are collinear, VZ = 52, XZ = 20, and WX = XY = YZ. Find the indicated length.WZ V W X Y Z
Use the given information to find the indicated angle measure. Given mWXZ = 80°, find mZYXZ.
Tell whether the statement is always, sometimes, or never true.A concave polygon is regular.
A formula for finding the midpoint of a segment with endpoints A(0, 0) and B(m, n). Explain your thinking.
Copy and complete the statement. 2 24 ft² ? in.² =
Use the diagram below. Tell whether the angles are vertical angles, a linear pair, or neither. 25 and 26
Use the given endpoint R and midpoint M of RS to find the coordinates of the other endpoint S. R(3, 0), M(0, 5)
In the diagram, points V, W, X, Y, and Z are collinear, VZ = 52, XZ = 20, and WX = XY = YZ. Find the indicated length.VY V W X Y Z
Draw a figure that fits the description.A triangle that is not regular.
Draw three noncollinear points J, K, and L. Sketch JK and add a point M on JK. Then sketch ML. A B E
Use the given information to find the indicated angle measure. Given m/FJH = 168°, find mZFJG.
Use the diagram below. Tell whether the angles are vertical angles, a linear pair, or neither. 26 and 27
A triangle has an area of 2.25 square feet. What is the area of the triangle in square inches? A 27 in.² B 54 in.² C144 in.² D 324 in.²
Use the given endpoint R and midpoint M of RS to find the coordinates of the other endpoint S. R(5, 1), M(1, 4)
Find the side length of the square with the given area. Write your answer as a radical in simplest form. A = 346 in.² 2
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