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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
In the diagram, BD is the perpendicular bisector of AC.Find CD. 22 - 2 x+7 A 2x + 6 В 16 C
Find the value of each variable in the parallelogram. 5у 3x 12 4y +4
The diagonals of parallelogram OPQR intersect at point M. What are the coordinates of point M? P to y 1 M Q R X
You are setting up a volleyball net. To stabilize the pole, you tie one end of a rope to the pole 7 feet from the ground. You tie the other end of the rope to a stake that is 4 feet from the pole. The rope between the pole and stake is about 8 feet 4 inches long. Is the pole perpendicular to the
Use geometry drawing software to construct an angle. Mark three points on one side of the angle and construct segments perpendicular to that side at the points. Measure the legs of each triangle and calculate the sine of the angle. Is the sine the same for each triangle?
Classify the quadrilateral. Explain your reasoning.
Give the most specific name for the quadrilateral. Explain. Z W +1
Describe how to prove that ABCD is a parallelogram. D A C B
In order to unload clay easily, the body of a dump truck must be elevated to at least 55°. If the body of the dump truck is 14 feet long and has been raised 10 feet, will the clay pour out easily?
Use the photo to copy and complete the statement. Explain. fro AD = ?
Describe how to prove that ABCD is a parallelogram. D A С B
Describe and correct the error made in finding m∠A. A B 120° # 50° -C Opposite angles of a kite are congruent, so mA = 50°. x
Trees grown for sale at nurseries should stand at least five feet from one another while growing. If the trees are grown in parallel rows, what is the smallest allowable distance between rows?
Classify the quadrilateral. Explain your reasoning. 140° 140° 40°
EFGH is a kite. Find m∠G. E. HF
Use the photo to copy and complete the statement. Explain. LDAB = ?
In quadrilateral WXYZ, WZ and XY are congruent and parallel. Which statement below is not necessarily true? A mZY + m2W = 180° C WX WX=ZY B ZX=ZZ D WX ZY
Which statement is not always true? A, The base angles of an isosceles trapezoid are congruent. B, The midsegment of a trapezoid is parallel to the bases. C, The bases of a trapezoid are parallel. D, The legs of a trapezoid are congruent.
Tell whether enough information is given in the diagram to classify the quadrilateral by the indicated name. Explain. Rhombus D A C B
Use the photo to copy and complete the statement. Explain. mLABC = ?
For what value of x is the quadrilateral a parallelogram? 66° 叶 .99
EFGH is a kite. Find m∠G. || E 60° F 110° H G
Use the photo to copy and complete the statement. Explain. LBCA ?
A student claims that the sum of the measures of the exterior angles of an octagon is greater than the sum of the measures of the exterior angles of a hexagon. The student justifies this claim by saying that an octagon has two more sides than a hexagon. Describe and correct the error the student is
Draw a quadrilateral with congruent diagonals and exactly one pair of congruent sides. What is the most specific name for this quadrilateral?
Tell whether enough information is given in the diagram to classify the quadrilateral by the indicated name. Explain. Isosceles trapezoid E 111° H 70° 70° G
For what value of x is the quadrilateral a parallelogram? до 3x
Sketch rhombus STUV. Describe everything you know about the rhombus.
EFGH is a kite. Find m∠G. E F 150° H + G
Name each quadrilateral-parallelogram, rectangle, rhombus, and square-for which the statement is true.It is equiangular.
Find the measures of an interior angle and an exterior angle of the indicated regular polygon.Regular pentagon
Use the photo to copy and complete the statement. Explain. mL CAB= ? fr
Use the photo to copy and complete the statement. Explain. | 00 m/ CAD = ?
For what value of x is the quadrilateral a parallelogram? (x + 10)° (2x + 20)°
Tell whether enough information is given in the diagram to classify the quadrilateral by the indicated name. Explain. Square M K L
Points P, Q, R, and S are the vertices of a quadrilateral. Give the most specific name for PQRS. Justify your answer. P(2, 1), Q(6, 1), R(5, 8), S(3, 8)
Find the indicated measure in ▱ EFGH. Explain. mL EJF
Points P, Q, R, and S are the vertices of a quadrilateral. Give the most specific name for PQRS. Justify your answer. P(1, 0), Q(1, 2), R(6,5), S(3, 0)
Find the indicated measure in ▱ EFGH. Explain. mLEGF
In trapezoid ABCD, MN is the midsegment. Describe and correct the error made in finding DC. A 3₁ M 14 8 # O B N C DC AB MN DC = 148 DC = 6 x
Find the measures of an interior angle and an exterior angle of the indicated regular polygon.Regular 18-gon
Points P, Q, R, and S are the vertices of a quadrilateral. Give the most specific name for PQRS. Justify your answer. P(2, 7), Q(6, 9), R(9, 3), S(5, 1)
Points P, Q, R, and S are the vertices of a quadrilateral. Give the most specific name for PQRS. Justify your answer. P(1,7), Q(5, 8), R(6, 2), S(2, 1)
Name each quadrilateral-parallelogram, rectangle, rhombus, and square-for which the statement is true.Its diagonals are perpendicular.
Find the measures of an interior angle and an exterior angle of the indicated regular polygon.Regular 90-gon
Name each quadrilateral-parallelogram, rectangle, rhombus, and square-for which the statement is true.Opposite sides are congruent.
Three of the vertices of ▱ABCD are given. Find the coordinates of point D. Show your method. A(-2, -3), B(4, -3), C(3, 2), D (x, y)
Name each quadrilateral-parallelogram, rectangle, rhombus, and square-for which the statement is true.The diagonals bisect each other.
Name each quadrilateral-parallelogram, rectangle, rhombus, and square-for which the statement is true.The diagonals bisect opposite angles.
Find the value of n for each regular n-gon described.Each interior angle of the regular n-gon has a measure of 156°.
Quadrilateral PQRS is a rectangle. Describe and correct the error made in finding the value of x. P (7x-4) S Q (3x + 14)° R 7x 4 = 3x + 14 4x = 18 x = 4.5 x
Find the value of n for each regular n-gon described.Each exterior angle of the regular n-gon has a measure of 9°.
Classify the special quadrilateral. Explain your reasoning. Then find the values of x and y. у+8 A B 104° Х D 3у ро C
Three of the vertices of ▱ABCD are given. Find the coordinates of point D. Show your method. A(-4, 4), B(4, 6), C(3, -1), D(x, y)
Find the indicated measure in ▱ EFGH. Explain. mLHFG
Find the indicated measure in ▱ EFGH. Explain. m2 GEF
Three of the vertices of ▱ABCD are given. Find the coordinates of point D. Show your method. A(-4, 1), B(-1, 5), C(6, 5), D (x, y)
Find the indicated measure in ▱ EFGH. Explain. mL EHG
Find the indicated measure in ▱ EFGH. Explain. m2 HGF
Classify the special quadrilateral. Explain your reasoning. Then find the values of x and y. K x + 31 J 4y+5 L 2y + 35 5x-9 M
Which pairs of segments or angles must be congruent so that you can prove that ABCD is the indicated quadrilateral? Explain. There may be more than one right answer. Square D 1B C
Which pairs of segments or angles must be congruent so that you can prove that ABCD is the indicated quadrilateral? Explain. There may be more than one right answer. Isosceles trapezoid A 60° D 120° C B
Three of the vertices of ▱ABCD are given. Find the coordinates of point D. Show your method. A(-1, 0), B(0, -4), C(8,-6), D (x, y)
Classify the special quadrilateral. Explain your reasoning. Then find the values of x and y. Q P 5x° 2y 10 R (3x + 18)° S
Which pairs of segments or angles must be congruent so that you can prove that ABCD is the indicated quadrilateral? Explain. There may be more than one right answer. Parallelogram A D V C B
The outline of the playing field at a baseball park is a polygon, as shown. Find the sum of the measures of the interior angles of the polygon.
Determine if it is possible for a regular polygon to have an interior angle with the given angle measure. Explain your reasoning.a. 165° b. 171° c. 75° d. 40°
Sides are added to a convex polygon so that the sum of its interior angle measures is increased by 540°. How many sides are added to the polygon? Explain your reasoning.
Classify the special quadrilateral. Explain your reasoning. Then find the values of x and y. y + 3 H E (4x + 7)º + (5x – 6) G F 2y + 1
In parallelogram ABCD, AB = 14 inches and BC = 20 inches. What is the perimeter (in inches) of ▱ABCD?(A) 28 (B) 40 (C) 68 (D) 280
You are standing on a plateau that is 800 feet above a basin where you can see two hikers.a. If the angle of depression from your line of sight to the hiker at B is 25°, how far is the hiker from the base of the plateau? b. If the angle of depression from your line of sight to the hiker at Cis
Rewrite the equation so that x is a function of y. y = x 9
The expressions given represent the angle measures of a triangle. Find the measure of each angle. Then classify the triangle by its angles. mZA = x° m/B = x° mZC= (5x 60)° −
The expressions given represent the angle measures of a triangle. Find the measure of each angle. Then classify the triangle by its angles. mZA = x° m/B = 4x° m/C= 4x°
Tell whether the given side lengths form a right triangle. 21, 22, and 5V37
Use the diagram of ΔABC. GIVEN AABC with altitude CD. sin Asin B b a PROVE A b D B
The expressions given represent the angle measures of a triangle. Find the measure of each angle. Then classify the triangle by its angles. mA = (x + 20)° m/B= (3x + 15)° m/C= (x - 30)°
Your town is building a wind generator to create electricity for your school. The builder wants your geometry class to make sure that the guy wires are placed so that the tower is secure. By safety guidelines, the distance along the ground from the tower to the guy wire's connection with the ground
Copy and complete the statement with < , > or =. Explain. m/1? m/2 20 18 2 1
Rewrite the equation so that x is a function of y. y = √x
Rewrite the equation so that x is a function of y. y=3x - 10
Copy and complete the statement with < , > or =. Explain. m21 ? m22 2 H H 1,
Copy and complete the statement with , or =. Explain. m21 ? m22 30 2 7 27
Tell whether the given side lengths form a right triangle. 3 2,2, and 2
Tell whether the given side lengths form a right triangle. 8, 10, and 14
Explain why ∠D must be a right angle. B 12 15 9 C 6 10 D E
You are considering buying a used car. You would like to know whether the frame is sound. A sound frame of the car should be rectangular, so it has four right angles. You plan to measure the shadow of the car on the ground as the sun shines directly on the car.a. You make a triangle with three tape
Find the unknown side length of the right triangle. 18 X 24
In Exercises 46-48, copy the triangle and draw one of its altitudes.
Draw a dilation of the polygon with the given vertices using the given scale factor k. A(2, 2), B(-1, -3), C(5, -3); k = 2
Find the unknown side length of the right triangle. X V157 6
Find the values of x and y in the triangle at the right. B у A 4 D X 9 C
In Exercises 46-48, copy the triangle and draw one of its altitudes.
Find the unknown side length of the right triangle. V13 X 9
Draw a dilation of the polygon with the given vertices using the given scale factor k. A(-4,-2), B(-2, 4), C(3, 6), D(6, 3); k = ¹/2
In Exercises 46-48, copy the triangle and draw one of its altitudes.
Copy the chart. Put an X in the box if the shape always has the given property. Property All sides are =. ? Rectangle Rhombus Square Kite Trapezoid ? ? ? ? ?
The perimeter of a rectangle is 135 feet. The ratio of the length to the width is 8 : 1. Find the length and the width.
Sketch a convex hexagon. Draw all of its diagonals.
In trapezoid PQRS, PQ ∣∣ RS. Sketch PQRS and identify its bases and its legs.
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