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mathematics
holt mcdougal larson geometry

Questions and Answers of Holt McDougal Larson Geometry

Points A and B are on a circle and t is a tangent line containing A and another point C.a. Draw two different diagrams that illustrate this situation. b. Write an equation for mAB in terms of
Determine whether AB is tangent to ⊙C. Explain. A 52 48 10 C B
Determine whether AB is tangent to ⊙C. Explain. в 9 C 15 A 18
In the coordinate plane shown, C is at the origin. Find the following arc measures on ⊙C. C A(3, 4) B(4,3) D(5,0) X
The circular stone mound in Ireland called Newgrange has a diameter of 250 feet. A passage 62 feet long leads toward the center of the mound. Find the perpendicular distance x from the end of the
Determine whether AB is a diameter of the circle. Explain your reasoning. C A 3 3 E B 5 D
Graph the equation. x² + y² = 49
Graph the equation. (x - 3)² + y² = 16
Find the indicated measure(s). Find mLP if mWZY = 200°. W Z X Y
The deck of a bascule bridge creates an arc when it is moved from the closed position to the open position.Find the measure of the arc. 209
Find the indicated measure(s). Find mAB and mED. 20°- E 115% D 60° F H 85° A G C B
Find the value(s) of the variable. In Exercises 24-26, B and D are points of tangency. Co 24 16
Find the value(s) of the variable. In Exercises 24-26, B and D are points of tangency. 6 9 r C
Determine whether the quadrilateral can always be inscribed in a circle. Explain your reasoning.Square
Graph the equation. x² + (y + 2)² = 36
On a regulation dartboard, the outermost circle is divided into twenty congruent sections. What is the measure of each arc in this circle?
Determine whether the quadrilateral can always be inscribed in a circle. Explain your reasoning.Rectangle
Graph the equation. (x-4)² + (y- 1)² = 1
You are designing an animated logo for your website. Sparkles leave point C and move to the circle along the segments shown so that all of the sparkles reach the circle at the same time. Sparkles
IN ⊙P below, AC, BC, and all arcs have integer measures. Show that x must be even. A хо B P C
Find the value(s) of the variable. In Exercises 24-26, B and D are points of tangency. 14 7 C
Determine whether the quadrilateral can always be inscribed in a circle. Explain your reasoning.Parallelogram
A surveillance camera is mounted on a corner of a building. It rotates clockwise and counterclockwise continuously between Wall A and Wall B at a rate of 10° per minute.a. What is the measure of the
In ⊙P below, the lengths of the parallel chords are 20, 16, and 12. Find mAB. P В A
Graph the equation. (x + 5)² + (y - 3)² = 9
Determine whether the quadrilateral can always be inscribed in a circle. Explain your reasoning.Kite
Find the value(s) of the variable. In Exercises 24-26, B and D are points of tangency. C. B D 3x + 10 7x-6 A
Find the value(s) of the variable. In Exercises 24-26, B and D are points of tangency. 2x² +5, A B 13 C D
Determine whether the quadrilateral can always be inscribed in a circle. Explain your reasoning.Rhombus
A clock with hour and minute hands is set to 1:00 P.M.a. After 20 minutes, what will be the measure of the minor arc formed by the hour and minute hands? b. At what time before 2:00 P.M., to the
Graph the equation. (x + 2)² + (y + 6)² = 25
Determine whether the quadrilateral can always be inscribed in a circle. Explain your reasoning.Isosceles trapezoid
The owner of a new company would like the company logo to be a picture of an arrow inscribed in a circle, as shown. For symmetry, she wants AB to be congruent to BC. How should AB and BC be related
Find the value(s) of the variable. In Exercises 24-26, B and D are points of tangency. A 4x - 1 B 3x² + 4x 4 D
Determine if the lines with the given equations are parallel. y = 5x + 2, y = 5(1 - x) у
In the diagram, ∠C is a right angle. If you draw the smallest possible circle through C and tangent to AB, the circle will intersect AC at J and BC at K. Find the exact length of JK. A 3 C 5 4 B
In the cross section of the submarine shown, the control panels are parallel and the same length. Explain two ways you can find the center of the cross section. 林
The points (-7, 1) and (3, 3) are the endpoints of a diameter of a circle. What is the standard equation of the circle? A (x - 2)² + (y - 1)² = 29 (x + 2)² + (y- 1)² = 29 B (x - 2)² + (y + 1)²
A cart is resting on its handle. The angle between the handle and the ground is 14° and the handle connects to the center of the wheel. What are the measures of the arcs of the wheel between the
A common internal tangent intersects the segment that joins the centers of two circles. A common external tangent does not intersect the segment that joins the centers of the two circles. Determine
Determine if the lines with the given equations are parallel. 2y + 2x = 5, y = 4 - x
Stereographic projection is a map-making technique that takes points on a sphere with radius one unit (Earth) to points on a plane (the map). The plane is tangent to the sphere at the origin.The map
Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m∠ABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How
Determine whether the given equation defines a circle. If the equation defines a circle, rewrite the equation in standard form. x² + y² - 6y + 9 = 4
In the diagram, ⊙P and ⊙Q are tangent circles. RS is a common tangent. Find RS. 5 Q R S 3 P
A common internal tangent intersects the segment that joins the centers of two circles. A common external tangent does not intersect the segment that joins the centers of the two circles. Determine
A carpenter's square is an L-shaped tool used to draw right angles. You need to cut a circular piece of wood into two semicircles. How can you use a carpenter's square to draw a diameter on the
Determine whether the given equation defines a circle. If the equation defines a circle, rewrite the equation in standard form. x² + y² + 4y + 3 = 16
Determine whether the given equation defines a circle. If the equation defines a circle, rewrite the equation in standard form. x² - 8x + 16 + y² + 2y + 4 = 25
A right triangle is inscribed in a circle and the radius of the circle is given. Explain how to find the length of the hypotenuse.
Match the notation with the term that best describes it.A. Center B. Radius C. Chord D. Diameter E. Secant F. Tangent G. Point of tangency H. Common tangent. CD
Find the value of x in ⊙Q. Explain your reasoning. A D 18 Q 5x-7 B C
AC and BE are diameters of ⊙F. Determine whether the arc is a minor arc, a major arc, or a semicircle of ⊙F. Then find the measure of the arc. EAC
Name two pairs of congruent angles. A B D C
Find the value of x. Round to the nearest tenth. 2x 15 12 -x+ 3
Match the notation with the term that best describes it.A. Center B. Radius C. Chord D. Diameter E. Secant F. Tangent G. Point of tangency H. Common tangent. BD
In the diagram, QS is a diameter of ⊙P. Which arc represents a semicircle? Q T P R S
Find the value of x in ⊙Q. Explain your reasoning. 3x + 2- D 6 Q A 6722 C в
Find the value of x in ⊙Q. Explain your reasoning. E H 15 A Q B 15 F G 4x + 1 x+8
Describe and correct the error in finding CD. CD DF = AB • AF CD 453 CD • 4 = 15 . . CD = 3.75 F 3 A 4 O 5 C B x
Describe and correct the error in the statement about the diagram. B A 6 a D 9 E The length of secant AB is 6. x
Name two pairs of congruent angles. K M
Write the standard equation of the circle with the given center and radius.Center (-4, 1), radius 1
In Exercises 12-14, what can you conclude about the diagram shown? State a theorem that justifies your answer. A E D B
Name two pairs of congruent angles. W X Y Z
Tell whether the red arcs are congruent. Explain why or why not. 180° A 70° D 40° B C
Write the standard equation of the circle with the given center and radius.Center (7, -6), radius 8
Tell whether the red arcs are congruent. Explain why or why not. L 85° P N M
Find the value of x. Round to the nearest tenth. 45- 50- X 27
Tell whether the red arcs are congruent. Explain why or why not. 92° 8 W X 92° 16 Z
In Exercises 12-14, what can you conclude about the diagram shown? State a theorem that justifies your answer. F H Q G J
Write the standard equation of the circle with the given center and radius.Center (4, 1), radius 5
Which of the following is a possible value of x? 2- X X 2x + 6
Describe and correct the error in writing the equation of a circle. An equation of a circle with center (-3,-5) and radius 3 is (x 3)² + (y 5)² = 9. - - x
In Exercises 12-14, what can you conclude about the diagram shown? State a theorem that justifies your answer. N L S R Q P M
In the diagram of ⊙R, which congruence relation is not necessarily true? R P Q M N
Describe the error in the diagram below. A 15° B E F 50° C 60° D x
Find the value of x. Round to the nearest tenth. 2 V3 X
Copy the diagram. Tell how many common tangents the circles have and draw them. O
In the diagram, ∠ADC is a central angle and m∠ADC = 60°. What is m∠ABC? B D A C
Write the standard equation of the circle with the given center and radius.Center (3, -5), radius 7
Write the standard equation of the circle with the given center and radius.Center (-3, 4), radius 5
The standard equation of a circle is (x - 2)2 + (y + 1)2 = 16. What is the diameter of the circle? A 2 B 4 C 8 D 16
Copy the diagram. Tell how many common tangents the circles have and draw them.
Find PQ. Round your answers to the nearest tenth. N 6 P 12 M Q
Explain what is wrong with the diagram of ⊙P. E 6 7 A G 6 P H B 7 D TI F x
The circles below are concentric. a. Find the value of x. 40° 110° b. Express c in terms of a and b. bº %
In each star below, all of the inscribed angles are congruent. Find the measure of an inscribed angle for each star. Then find the sum of all the inscribed angles for each star. a. b. C.
Copy the diagram. Tell how many common tangents the circles have and draw them.
Explain why the congruence statement is wrong. A E BC = CD C B x
What is the value of x? E (8x + 10)° (12x + 40)° G
In the diagram, the circle is inscribed in ΔPQR. Find mEF, mFG, and mGE. P 40° E G 60° F R 80°
In the diagram, BA is tangent to ⊙E. Find mCD. 7x/ D A E. 3x C 40° B
Find PQ. Round your answers to the nearest tenth. Q P 12 S 14 R
Determine whether AB is a diameter of the circle. Explain your reasoning. C 6 A 4 9 B 6 D
In the figure, AB = DE = 6, PD = 4, and A is a point Find the radius of ⊙P. 12, BC = 8, of tangency. E A P. D C B
Determine whether AB is tangent to ⊙C. Explain. C 3 5. А 4 В A
Determine whether AB is a diameter of the circle. Explain your reasoning. A С B ID
Find the center and radius of a circle that has the standard equation (x + 2)2 + (y - 5)2 = 169.
Parallelogram QRST is inscribed in ⊙C. Find m∠R.

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