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mathematics
holt mcdougal larson geometry

Questions and Answers of Holt McDougal Larson Geometry

Find the unknown side length x. Write your answer in simplest radical form. 11 X
Find the perimeter of the triangle. Round to the nearest tenth. 6 31°
Tell whether the triangle is a right triangle. If so, find the length of the altitude to the hypotenuse. Round decimal answers to the nearest tenth. 4 V13 12 8
What is the approximate value of x in the triangle shown? 32° 12 X
In Exercises 15-23, decide if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 12, 16, and 20
In Exercises 15-23, decide if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 10, 15, and 5V13
Find the value of each variable. Write your answers in simplest radical form. 60° S 18 60°
What is the length of the hypotenuse of a right triangle with leg lengths of 8 inches and 15 inches? A 13 inches B 17 inches C 21 inches D 25 inches
Find the value of each variable. Write your answers in simplest radical form. t 45° u 3 4
Solve the right triangle. Round decimal answers to the nearest tenth. В 5.2 43.6° с A
Find the value of the variable. Round decimal answers to the nearest tenth. 4 X 9
Solve the right triangle. Round decimal answers to the nearest tenth. D E 4/3 8/3 F
Find the value of the variable. Round decimal answers to the nearest tenth. 5 у 8
Find the value of the variable. Round decimal answers to the nearest tenth. -8- X 2
In Exercises 15-23, decide if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 24, 30, and 6V 43
Find the value of each variable. Write your answers in simplest radical form. e 60° 45° g f 9√3
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell whether it
Use the diagram at the right. Decide which proportion is false. A C B
In Exercises 15-23, decide if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 5, 6, and 7
Use a tangent ratio to find the value of x. Round to the nearest tenth. Check your solution using the tangent of the other acute angle. 8 X 25°
IN ΔPQR, which expression can be used to find PQ? P 29° Q 10 R
Use a tangent ratio to find the value of x. Round to the nearest tenth. Check your solution using the tangent of the other acute angle. 13, X 40°
Find the value of x. Round decimals to the nearest tenth. 2 X 42°
Solve the right triangle. Round decimal answers to the nearest tenth. G 29.9⁰ 10/7/ H
Describe and correct the student's error in using an inverse trigonometric ratio. W 7 sin 1 = 36° -1 7 WY 36° X X
Use a tangent ratio to find the value of x. Round to the nearest tenth. Check your solution using the tangent of the other acute angle. X 65° 9
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell whether it
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell whether it
Describe and correct the error in finding the length of the hypotenuse. 7 7√3 30° x
In Exercises 15-23, decide if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 8, 10, and 12
Describe and correct the student's error in using an inverse trigonometric ratio. T 15 17 -18 cos 1/2 = m/T ī 8 U x
Find the value of x. Round decimals to the nearest tenth. 53° 11 X
Find the area of the triangle. Round to the nearest tenth. 38° X 11
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell whether it
Find the area of the triangle. Round to the nearest tenth. 55° X 16
In Exercises 15-23, decide if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 6, 8, and 10
Describe and correct the error in finding the length of the hypotenuse. V5 5√2 45° V5 x
In Exercises 15-23, decide if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 15, 20, and 36
Find the unknown side length. Then find sin X and cos X. Write each answer as a fraction in simplest form and as a decimal. Round to four decimal places, if necessary. X 7√3 14 Z Y
Find the value of x. Round decimals to the nearest tenth. 26 39° X
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell whether it
Find the value of each variable. Write your answers in simplest radical form. g 30° f 10
Find the area of the triangle. Round to the nearest tenth. 7 X 22°
Find the unknown side length. Then find sin X and cos X. Write each answer as a fraction in simplest form and as a decimal. Round to four decimal places, if necessary. X₁ 4 Z 812 Y
In Exercises 15-23, decide if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 8.2, 4.1, and 12.2
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell whether it
Find the perimeter of the triangle. Round to the nearest tenth. 29 44°
Tell whether the triangle is a right triangle. If so, find the length of the altitude to the hypotenuse. Round decimal answers to the nearest tenth. 10 2√ 89 16
Find the unknown side length x. Write your answer in simplest radical form. 6- 6 X 3
Find the value of each variable. Write your answers in simplest radical form. X 4√2 y 150°
Which side lengths do not form a right triangle? A 5, 12, 13 B 10, 24, 28 C 15, 36, 39 D 50, 120, 130
Find the unknown side length. Then find sin X and cos X. Write each answer as a fraction in simplest form and as a decimal. Round to four decimal places, if necessary. 35 Z 12 Y
Draw a dilation of the polygon with the given vertices using the given scale factor k. A(1, 1), B(6, 1), C(6, 3); k = 1.5
Draw a dilation of the polygon with the given vertices using the given scale factor k. A(-2, 1), B(-4, 1), C(-2, 4); k = 2
Draw a dilation of the polygon with the given vertices using the given scale factor k. A(-5, 5), B5, −10), C(10, 0); k 315
In Exercises 5-7, use the diagram where ΔPQR ~ ΔABC.List all pairs of congruent angles. R 12, 24 21 Q B 20 A C 10
In Exercises 5-7, use the diagram where ΔPQR ~ ΔABC.Write the ratios of the corresponding sides in a statement of proportionality. R 12 24 21 Q B 20 A C 10
Determine whether the triangles are similar. If so, write a similarity statement and the postulate or theorem that justifies your answer. N₁ 20 M 30 25 15 X L 18 Y 11 Z
Draw a dilation of the polygon with the given vertices using the given scale factor k. A(2, 8), B(8, 8), C(16, 4); k = 0.25
Draw a dilation of the polygon with the given vertices using the given scale factor k. 13 A(0, 0), B(0, 3), C(2, 4), D(2, -1); k = 2
In Exercises 5-7, use the diagram where ΔPQR ~ ΔABC.Find the value of x. R 12 P 24 21 Q B X 20 A C 10
Draw a dilation of the polygon with the given vertices using the given scale factor k. A(–8, 0), B(0, 8), C(4, 0), D(0, –4); k = 3100 8
Determine whether the triangles are similar. If so, write a similarity statement and the postulate or theorem that justifies your answer. K 27 L. 6 N 9 M 18 J
In a dilation, the image is _?_ to the original figure.
Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor. y 1 A B X
Determine whether the triangles are similar. If so, write a similarity statement and the postulate or theorem that justifies your answer. A B 62° E C 85° 33° D
Explain how to find the scale factor of a dilation. How do you know whether a dilation is an enlargement or a reduction?
In Exercises 11-13, find the length of AB. B C A 9 8 E 10 D
Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor. 1 y 1 B A X
Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor. y A B X
You want to create a quadrilateral PQRS that is similar to quadrilateral JKLM. What are the coordinates of S? Q P -5 K RJ L M -4 y X
In Exercises 11-13, find the length of AB. D 35 E 40 E 21 F B A
Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor. 3 y B 1 A X
In Exercises 11-13, find the length of AB. A 52 B 30 D 20 C
Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor. - y A B 9 r
Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor. y A B X
Determine whether the transformation shown is a translation, reflection, rotation, or dilation. y 1 X
A student says that the figure shown represents a dilation. What is wrong with this statement? 1 AY 1 B A AX
Determine whether the transformation shown is a translation, reflection, rotation, or dilation. X
Describe the two transformations, the first followed by the second, that combined will transform ΔABC into ΔDEF. A(-3, 3), B(-3, 1), C(0, 1) D(6, 6), E(6, 2), F(0, 2)
Your pottery is used on a poster for a student art show. You want to make postcards using the same image. On the poster, the image is 8 inches in width and 6 inches in height. If the image on the
Determine whether the transformation shown is a translation, reflection, rotation, or dilation. y 3 X
Describe the two transformations, the first followed by the second, that combined will transform ΔABC into ΔDEF. A(6, 0), B(9, 6), C(12, 6) D(0, 3), E(1, 5), F(2, 5)
Describe how you can use dilations to create the figure shown below. -5 y X
Explain how you can use dilations to make a perspective drawing with the center of dilation as a vanishing point. Draw a diagram. Ay X
A billboard advertising agency requires each advertisement to be drawn so that it fits in a 12-inch by 6-inch rectangle. The agency uses a scale factor of 24 to enlarge the advertisement to create
Find the direct distance, in paces, from the treasure to the stump. From the old stump, take 30 paces east, then 20 paces north, 6paces west, and then another 25 paces north to find the hidden
You and your friend are walking at night. You point a flashlight at your friend, and your friend's shadow is cast on the building behind him. The shadow is an enlargement, and is 15 feet tall. Your
Let XY be a dilation of PQ with scale factor k. Show that the image of the midpoint of PQ is the midpoint of XY.
A rectangle has vertices A(0, 0), B(0, 6), C(9, 6), and D(9, 0). Explain how to dilate the rectangle to produce an image whose area is twice the area of the original rectangle. Make a conjecture
A triangle with two congruent sides and a right angle is called___?___.
What is the longest side of a right triangle called?
The sine ratio compares the length of__?__ to the length of __?__.
Find the length of AC. A 45° C 7 in. B
Find the value of x. Write your answer in simplest radical form. 12 20 X
Identify the three similar right triangles in the given diagram. L M NK
On a map of the United States, you put a pushpin on three state capitols you want to visit: Jefferson City, Missouri; Little Rock, Arkansas; and Atlanta, Georgia.a. Draw a diagram to model the
Find the value of x. Write your answer in simplest radical form. X 13 9
Find the value of x. Write your answer in simplest radical form. 45° X 1
Tell whether the triangle is a right triangle. 65 97 72

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