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mathematics
holt mcdougal larson geometry

Questions and Answers of Holt McDougal Larson Geometry

Copy and complete: The part of the secant segment that is outside the circle is called a(n)__?__.
Copy and complete: If a circle is circumscribed about a polygon, then the polygon is _?_ in the circle.
In ⊙C, B and D are points of tangency. Find the value of the variable. С. B D 5x-4 3x + 6 A
Copy and complete: The standard equation of a circle can be written for any circle with known _?_ and _?_.
Describe what it means to bisect an arc.
Explain why the diagonals of a rectangle inscribed in a circle are diameters of the circle.
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. ВС
Find the measure of the red arc or chord in ⊙C. A B C 75° E D
In ⊙C, B and D are points of tangency. Find the value of the variable. A 6 Br 12 D C
Explain the difference between a tangent segment and a secant segment.
Match the notation with the term that best describes it.BA. Center B. Radius C. Chord D. Diameter E. Secant F. Tangent G. Point of tangency H. Common tangent E D A C G B H
Write the standard equation of the circle. 1 y X
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. DC
Line t is tangent to the circle. Find the indicated measure. mAB A 65% B t
Write the standard equation of the circle. y X
Find the measure of the red arc or chord in ⊙C. 128⁰ A D 34 C 34 B
Line t is tangent to the circle. Find the indicated measure. mDEF E F At 117° D
In ⊙C, B and D are points of tangency. Find the value of the variable. 2x2 + 8x-17, B C A 8x + 15 D
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 BH
What do you need to know about two circles to show that they are congruent? Explain.
Explain why the location of the center and one point on a circle is enough information to draw the rest of the circle.
Tell whether the red arcs are congruent. Explain why or why not. B 60° A E 60° C D
Two chords of a circle are perpendicular and congruent. Does one of them have to be a diameter? Explain your reasoning.
Explain how you can determine from the context whether the words radius and diameter are referring to a segment or a length.
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. DB
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. AB
Write the standard equation of the circle. -10 y 10 X
Find the measure of the red arc or chord in ⊙C. FA 8 С C /E G H
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. AE
Tell whether the red arcs are congruent. Explain why or why not. F 5 136° H G 224° J K 5 L
Line t is tangent to the circle. Find the indicated measure. mZ1 1 260°
Find the value of x in ⊙Q. Explain your reasoning. A 4x B D Q 3x + 7 C
The diagram at the right is not drawn to scale. AB is any chord that is not a diameter of the circle. Line m is tangent to the circle at point A. Which statement must be true? B A m
Write the standard equation of the circle. 15 y 5 X
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. AD
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. AB
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. AÉ
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. ABC
Tell whether the red arcs are congruent. Explain why or why not. M Q P 119° R N
Determine whether AB is a diameter of the circle. Explain your reasoning. A C 10 8.9 8.9 8 B D
Write the standard equation of the circle. -10- y 10 O X
Find the value of x in ⊙Q. Explain your reasoning. 5x – 6. 2x + 9- L P M Q N
Find the value of x in ⊙Q. Explain your reasoning. 90° R U Q S T 6x + 9 8x - 13
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. ACD
Write the standard equation of the circle. 3 y نیا X
Determine whether AB is a diameter of the circle. Explain your reasoning. C + A B + D 90°
Match the notation with the term that best describes it.GA. Center B. Radius C. Chord D. Diameter E. Secant F. Tangent G. Point of tangency H. Common tangent. E D A C G B H
Determine whether AB is a diameter of the circle. Explain your reasoning. X B 14 20 Z A Y - 25
Describe the error in the diagram of ⊙C. Find two ways to correct the error. Q 100° C R 45° S x
Write the standard equation of the circle with the given center and radius.Center (0, 0), radius 7
In the diagram, the center of the dilation of ▱PQRS is point C. The length of a side of ▱P'Q'R'S' is what percent of the length of the corresponding side of ▱PQRS? C P' S' Q' 3 'R' P S 12 Q 9 R
Rotate the line the given number of degrees (a) about the x-intercept and (b) about the y-intercept. Write the equation of each image. y = -x + 8; 180°
Describe and correct the error in the computation. 9-2 -6 [8 -3 ][ - $ _12] - [9(-6) -2(12) = 4 10 3 -6 4(3) x
The left and right prints in the set of animal tracks can be related by a glide reflection. Copy the tracks and describe a translation and reflection that combine to create the glide reflection. bald
Use the described translation and the graph of the image to find the matrix that represents the preimage. 6 units left and 5 units up W' 3- V' y X' Y' Z' x
Find the value of each variable in the translation. 162° ро 10 S 3wº 100⁰ 2t 8 X
Identify the line symmetry and rotational symmetry (if any) of each word. RADAR
Write two matrices that have a defined product. Then find the product.
Sketch a polygon. Apply three transformations of your choice on the polygon. What can you say about the congruence of the preimage and final image after multiple transformations? Explain.
What can you say about the rotational symmetry of a regular polygon with n sides? Explain.
Rotate the line the given number of degrees (a) about the x-intercept and (b) about the y-intercept. Write the equation of each image. y = x + 5; 270°
A dilation maps A (5, 1) to A' (2, 1) and B(7, 4) to B'(6, 7).a. Find the scale factor of the dilation. b. Find the center of the dilation.
Find the value of each variable in the translation. b+6 a 14 y 20 55° 4c-6 X
The left and right prints in the set of animal tracks can be related by a glide reflection. Copy the tracks and describe a translation and reflection that combine to create the glide reflection.
Identify the line symmetry and rotational symmetry (if any) of each word. OHIO
Use the photo to find the angle of rotation that maps A onto A'. Explain your reasoning. A A'
Which transformation of (x, y) is a dilation? A (3x, y) B (-x, 3y) C (3x, 3y) D (x + 3, y + 3)
Use the description of a translation of a triangle to find the value of each variable. Explain your reasoning. What are the coordinates of the vertices of the image triangle? 12 12 W -7 V
Which is not a glide reflection? A The teeth of a closed zipper C The keys on a computer keyboard (B The tracks of a walking duck D The red squares on two adjacent rows of a checkerboard
Identify the line symmetry and rotational symmetry (if any) of each word. pod
A point in space has three coordinates (x, y, z), as shown at the right. From the origin, a point can be forward or back on the x-axis, left or right on the y-axis, and up or down on the z-axis.a.
Use the photo to find the angle of rotation that maps A onto A'. Explain your reasoning. A A
Verify that the two figures in the graph are similar by describing a composition of transformations, involving a dilation then a translation, that maps ΔDEF to ΔD'E'F. D' D 1- y F E F' 3 دیا E' X
Describe the transformations that are combined to represent an eight-person rowing shell.
Use the photo to find the angle of rotation that maps A onto A'. Explain your reasoning. A' A
Identify the case of the Reflection Theorem represented.
In Exercises 31-33, describe the transformations that are combined to make each sweater pattern. х
Two computer labs submit equipment lists. A mouse costs $10, a package of CDs costs $32, and a keyboard costs $15. Use matrix multiplication to find the total cost of equipment for each lab. Lab 1 25
Identify the case of the Reflection Theorem represented.
Graph parabolas of the form y = ax2 using three different values of a. Describe the effect of changing the value of a. Is this a dilation? Explain.
Two swim teams submit equipment lists. The women's team needs 30 caps and 26 goggles. The men's team needs 15 caps and 25 goggles. A cap costs $10 and goggles cost $15.a. Use matrix addition to find
You enter a revolving door and rotate the door 180°. What does this mean in the context of the situation? Now, suppose you enter a revolving door and rotate the door 360°. What does this mean in
Write a matrix to represent the given polygon.Pentagon A in Exercise 41 Ay 1- -B- 2 A X
Write a matrix to represent the given polygon.Pentagon B in Exercise 41 1 y B 2 A X
Rotate the line the given number of degrees (a) about the x-intercept and (b) about the y-intercept. Write the equation of each image. y = 2x3; 90°
The distance from the center of dilation to the image of a point is shorter than the distance from the center of dilation to the preimage. Is the dilation a reduction or an enlargement? Explain.
Identify the line symmetry and rotational symmetry (if any) of each word. MOW
Use the described translation and the graph of the image to find the matrix that represents the preimage. 4 units right and 2 units down A' D' 2 y 1 B' C' X
Graph a triangle in the coordinate plane. Rotate the triangle, then dilate it. Then do the same dilation first, followed by the rotation. In this composition of transformations, does it matter in
In Exercises 31-33, describe the transformations that are combined to make each sweater pattern. RNSASI லள
You are using magnifying glasses. Use the length of the insect and the magnification level to determine the length of the image seen through the magnifying glass. Dragonfly magnification 20x 47 mm
Identify the case of the Reflection Theorem represented.
You are using magnifying glasses. Use the length of the insect and the magnification level to determine the length of the image seen through the magnifying glass. Emperor moth magnification 5x 60 mm
In Exercises 33-35, use matrices A, B, and C.Use the 2 x 2 matrices above to explore the Commutative Property of Multiplication.a. What does it mean that multiplication is commutative? b. Find and
In Exercises 31-33, describe the transformations that are combined to make each sweater pattern. QO 2000 000
You are using magnifying glasses. Use the length of the insect and the magnification level to determine the length of the image seen through the magnifying glass. Ladybug magnification 10x 4.5 mm
You park at some point Kon line n. You deliver a pizza to house H, go back to your car, and deliver a pizza to house J. Assuming that you can cut across both lawns, how can you determine the parking
Use the 2 x 2 matrices above to explore the Associative Property of Multiplication.a. What does it mean that multiplication is associative? b. Find and compare A(BC) and (AB) C. c. Based on part
You are snowshoeing in the mountains. The distances in the diagram are in miles. Write the component form of the vector.From the cabin to the ski lodge N WE S Ski lodge (1,2) Cabin (0,
The diagram at the right shows two forms of the amino acid alanine. One form is laevo-alanine and the other is dextro-alanine. How are the structures of these two molecules related? Explain.

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