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mathematics
holt mcdougal larson geometry

Questions and Answers of Holt McDougal Larson Geometry

Write the equation of the line with the given description. Parallel to y = 3x - 7, passing through (1, 2)
In Exercises 69-71, use the given information to find the value(s) of x. Assume that the given quantities are nonnegative. The geometric mean of the quantities (√x) and (3√x) is (x - 6).
In Exercises 69-71, use the given information to find the value(s) of x. Assume that the given quantities are nonnegative. The geometric mean of the quantities (x + 1) and (2x + 3) is (x + 3).
In Exercises 69-71, use the given information to find the value(s) of x. Assume that the given quantities are nonnegative. The geometric mean of the quantities (2x + 1) and (6x + 1) is (4x - 1).
You need to make 36 one-half cup bags of trail mix for a class trip. The recipe calls for peanuts, chocolate chips, and raisins in the extended ratio 5:1:4. How many cups of each item do you need?
Write the equation of the line with the given description. = . y = 1x₁ Perpendicular to y + 5, passing through (0, 24)
The population of Red-tailed hawks is increasing in many areas of the United States. One long-term survey of bird populations suggests that the Red-tailed hawk population is increasing nationally by
Some common computer screen resolutions are 1024:768, 800:600, and 640:480. Explain why these ratios are equivalent.
Emily took 500 U.S. dollars to the bank to exchange for Canadian dollars. The exchange rate on that day was 1.2 Canadian dollars per U.S. dollar. How many Canadian dollars did she get in exchange for
Find the length of AB and the coordinates of the midpoint of AB. A(0, 6), B(5, 8)
Use the diagram to name the included angle between the given pair of sides. ZW and YW
Is it possible to prove that the triangles are congruent? If so, state the postulate or theorem you would use. APQR, ARSP P Q S R
Classify the triangle by its sides and by its angles.
Tell whether the angles or sides are corresponding angles, corresponding sides, or neither. LC and LL
Use the diagram to name the included angle between the given pair of sides. XY and YW
Tell whether the angles or sides are corresponding angles, corresponding sides, or neither. AC and JK
Classify the triangle by its sides and by its angles.
In Exercises 3-6, use the diagram. Copy and complete the statement. Tell what theorem you used. If AE = DE, then Z_? = L_ ? .
Name one advantage of using a flow proof rather than a two-column proof.
Name the type of transformation shown. 2 y 4 X
Tell whether the angles or sides are corresponding angles, corresponding sides, or neither. BC and KL
Copy and complete: The angle between two sides of a triangle is called the_?_ angle.
In Exercises 3-6, use the diagram. Copy and complete the statement. Tell what theorem you used. If AB = EB, then ? = L _? .
Is it possible to prove that the triangles are congruent? If so, state the postulate or theorem you would use. AABC, AQRS A Q B R C S
Describe the translation (x, y) → (x - 1, y + 4) in words.
Tell whether the angles or sides are corresponding angles, corresponding sides, or neither. LB and LL
Define the vertex angle of an isosceles triangle.
Classify the triangle by its sides and by its angles.
Use the diagram to name the included angle between the given pair of sides. WZ and ZY
Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem would you use? LALD A B C D
You know that a pair of triangles has two pairs of congruent corresponding angles. What other information do you need to show that the triangles are congruent?
Name the type of transformation shown. y 3 X
Is it possible to prove that the triangles are congruent? If so, state the postulate or theorem you would use. ΔΧΥΖ, ΔΙΚΕ X ZL K J
Explain why the term congruence transformation is used in describing translations, reflections, and rotations.
Explain the difference between proving triangles congruent using the SAS and SSS Congruence Postulates.
What is the relationship between the base angles of an isosceles triangle? Explain.
In Exercises 3-6, use the diagram. Copy and complete the statement. Tell what theorem you used. If LD = L CED, then ? = _ _?_ .
Explain why you might choose to use congruent triangles to measure the distance across a river. Give another example where it may be easier to measure with congruent triangles rather than directly.
Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem would you use? ZQ=LT R Q P T S
In Exercises 4-6, find the value of .x. 30° 80° to
Name the type of transformation shown. 2 y 1 X
Use the diagram to name the included angle between the given pair of sides. WX and YX
Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem would you use? JM = LM J K M L
Decide whether the congruence statement is true. Explain your reasoning. ARST ATQP R ||| S T Q ||| P
In Exercises 4-6, find the value of .x. 2xº xº
ERROR ANALYSIS Describe the error in concluding that ΔABC = ΔXYZ. By AAA, ДАВС = ∆XYZ. A B X x
Use the diagram at the right. For each angle, name the side that is opposite that angle. A C B
Suppose you draw a circle with a compass. You choose three points on the circle to use as the vertices of a triangle. Copy and complete: The center of the circle is also the __?__ of the triangle.
Name the four types of points of concurrency introduced in Lessons 5.2-5.4. When is each type inside the triangle? on the triangle? outside the triangle?
Copy and complete: Point C is in the interior of LABD. If ∠ABC and ∠DBC are congruent, then BC is the_?_ of ∠ABD.
Why is indirect proof also called proof by contradiction?
Explain why it is convenient to place a right triangle on the grid as shown when writing a coordinate proof. How might you want to relabel the coordinates of the vertices if the proof involves
Copy and complete with < , > or =. Explain. AD ? CD B A 36 D 32 C
Find the length of AB. A 5x D B 4x + 3 C
Consider AB. How can you describe the set of all points in a plane that are equidistant from A and B?
Compare a perpendicular bisector and an altitude of a triangle. Compare a perpendicular bisector and a median of a triangle.
How are perpendicular bisectors and angle bisectors of a triangle different? How are they alike?
How can you tell from the angle measures of a triangle which side of the triangle is the longest? the shortest?
Copy and complete with < , > or =. Explain. MN ? LK K M 114 P # 123 L N
DE is a midsegment of ΔABC. Find the value of x. A X E B 26 C
Find the value of x. Explain your reasoning. S 2x + 11 W V U 8x-1
Find the length of AB. A 3x-6 x + 18 C D B
Use the information in the diagram to find the measure. Find PS. S Q 12 R
DE is a midsegment of ΔABC. Find the value of x. A X B 5 E D C
Copy and complete with < , > or =. Explain. TR ? UR Q U 22 ++ + R 24 >T S
Find the value of x. Explain your reasoning. 6x P Q S 3x + 9 R
DE is a midsegment of ΔABC. Find the value of x. A 6 B. D E X C
In ΔXYZ, XJ ≅ JY, YL ≅ LZ, and XK ≅ KZ. Copy and complete the statement. JK ?
Find the length of AB. B 9x + 1 E D A C 7x + 13
Find the value of x. Explain your reasoning. G H (5x – 4)° (4x + 3)° K
Copy and complete with < , > or =. Explain. m1 ? mL2 13 14
Use the information in the diagram to find the measure. mLYXW = 60°. Find WZ. 30° W 9 Z
Is DB = DC? Explain. A B C D
In the diagram, Mis the centroid of ΔACT, CM = 36, MQ = 30, and TS 56. What is AM? A S R M C Q T
Copy and complete with < , > or =. Explain. mZ1? mL2 1 2
Tell whether the information in the diagram allows you to conclude that C is on the perpendicular bisector of AB. A С P В
Use a ruler and protractor to draw the given type of triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?Right scalene
List the sides and the angles in order from smallest to largest. A4 62° B 67° 51° C
Is DB = DC? Explain. A B C D
List the sides and the angles in order from smallest to largest. X Y 112° 36° 32° -Z
In ΔXYZ, XJ ≅ JY, YL ≅ LZ, and XK ≅ KZ. Copy and complete the statement. JL || ?
Tell whether the information in the diagram allows you to conclude that C is on the perpendicular bisector of AB.
Copy and complete with < , > or =. Explain. m1 ? mL2 2 39 42
Use a ruler and protractor to draw the given type of triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?Obtuse isosceles
Is DB = DC? Explain. A В C D
Tell whether the information in the diagram allows you to conclude that C is on the perpendicular bisector of AB. A C P B
In Exercises 3-6, use the diagram. Copy and complete the statement. Tell what theorem you used.. If / EBC = L ECB, then_? = ? .
Decide whether the moving part of the window is a translation. Double hung
Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem would you use? AC BD C A D B
In Exercises 4-6, find the value of .x. 55° 50°
Decide whether the congruence statement is true. Explain your reasoning. AABD ACDB A B D .C
Which postulate or theorem can you use to prove that ΔABC ≅ ΔHJK? B H A ਇ K
Use the diagram to name the included angle between the given pair of sides. XX and YZ XY
Find the unknown measure. B ? A 12 C
Decide whether the moving part of the window is a translation. Casement 11
Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem would you use? GK = HJ J G N M L HK
Decide whether the congruence statement is true. Explain your reasoning. ADEF= ADGF F E G D
Use the diagram to name the included angle between the given pair of sides. WX and WZ
In the diagram, DEFG ≅ WXFG. Find the values of x and y. D 60° E 75° 10 F X (15x + y) G 3x-5 W
Decide whether the moving part of the window is a translation. Sliding

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