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mathematics
holt mcdougal larson geometry

Questions and Answers of Holt McDougal Larson Geometry

Describe and correct the error made in finding BC in the diagram shown. LA LC, therefore AC = BC. So, BC = 6 A 5, B 6 C x
Tell whether you can use the given information to determine whether ΔABC ≅ ΔDEF. Explain your reasoning. ZA ZD, ZB= ZE, ZC = ZF
Use coordinate notation to describe the translation. 6 units to the right, 3 units up
Which of the following sets of information does not allow you to conclude that ΔABC ≅ ΔDEF? A AB DE, BC= EF, LB = LE CAC DF, BC= EF, BA = DE B AB= DF, AC=DE, LC = LE DAB DE, AC = DF, LA = LD
Decide whether the figure is stable. Explain. 中
Explain why segments connecting any pair of corresponding vertices of congruent pentagons are congruent. Make a sketch to support your answer.
Decide whether the transformation is a translation, reflection, or rotation. y X
Decide whether the figure is stable. Explain.
Decide whether the transformation is a translation, reflection, or rotation. y 1 X
Use the information given in the diagram to write a plan for proving that ∠1 ≅ ∠2. F K 1 J 2 G H
Use coordinate notation to describe the translation. 2 units to the right, 1 unit down
Use coordinate notation to describe the translation. 7 units to the left, 9 units up
Use the information given in the diagram to write a plan for proving that ∠1 ≅ ∠2. A B 1 E 2 C D
Tell whether you can use the given information to determine whether ΔABC ≅ ΔDEF. Explain your reasoning. ZBZE, ZC = /F, AC DE
In Exercises 16-18, use the given information to name two triangles that are congruent. Explain your reasoning. RSTUV is a regular pentagon. T S R V U
In Exercises 16-18, use the given information to name two triangles that are congruent. Explain your reasoning. ABCD is a square with four congruent sides and four congruent angles. B A C D
Use a reflection in the x-axis to draw the other half of the figure. y X
Let ABCD be a rectangle separated into two triangles by DB. Which of the statements below is not true? A AD= CB B AB = AD CAB CD D ADAB ABCD
Use the information given in the diagram to write a plan for proving that ∠1 ≅ ∠2. S P 1 T 2 R Q
Tell whether you can use the given information to determine whether ΔABC ≅ ΔDEF. Explain your reasoning. AB= EF, BC = FD, AC = DE
Is it possible to prove that the triangles are congruent? If so, state the postulate (s) or theorem(s) you would use. ΔABC, ΔDEC Β' E D
In Exercises 16-18, use the given information to name two triangles that are congruent. Explain your reasoning. MKL MN and KL 1 NL. K 10 m M N L 10 m
What is the value of x in the diagram? 3x +4 22
Use a reflection in the x-axis to draw the other half of the figure. y X
Determine whether ∆ABC ≅ ∆DEF. If they are congruent, write a congruence statement. Explain your reasoning. A 2 6 F B 1 7 C E 6 3 D
Determine whether ∆ABC ≅ ∆DEF. If they are congruent, write a congruence statement. Explain your reasoning. A 5 4 D 1 E C B 1 5 4 F
Use the information given in the diagram to write a plan for proving that ∠1 ≅ ∠2. A 1 F B E C 2 D
Use the information given in the diagram to write a plan for proving that ∠1 ≅ ∠2. K₁ P M N 1 2 L
Is it possible to prove that the triangles are congruent? If so, state the postulate (s) or theorem(s) you would use. ΔTUV, ΔTWV T- W X
Is it possible to prove that the triangles are congruent? If so, state the postulate (s) or theorem(s) you would use. ΔQML, ΔΙΡΝ M Q P N L
Find the values of x and y, if possible. Explain your reasoning. (45-4° 50° (2y + 64)°
Use a reflection in the x-axis to draw the other half of the figure. y 1 X
Find all values of x that make the triangles congruent. Explain. A 5x 5x-2 C B 4x + 3 3x + 10 D
Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, state the congruence postulate or theorem you would use. C A B -D
Find the values of x and y, if possible. Explain your reasoning. 3x² - 32 y + 12 5y-4
Use the information given in the diagram to write a plan for proving that ∠1 ≅ ∠2. Y 1 2, W. Z X
Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, state the congruence postulate or theorem you would use. Mr L R N T S
Find the values of x and y, if possible. Explain your reasoning. 3x° 7yº
Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, state the congruence postulate or theorem you would use. Z is the midpoint of PY
Which gate is stable? Explain your reasoning. Gate 1 666 HIMM Gate 2
Use the information given in the diagram to write a proof. PROVELVYX = LWYZ X Y W Z U
Find the measure of the numbered angle. 24
A student says that the red triangle is a 120° clockwise rotation of the blue triangle about the origin. Describe and correct the error. Ay 3 120° 0 1 X x
Describe and correct the error in finding the value of x. 4x + 6, X 4x T N 5x-1 4x W 4x = 5x - 1 -x= -1 x = 1 x
Find the measure of the numbered angle. 25
Copy and complete the flow proof. GIVEN AD CE, BD = BC PROVE > ΔΑΒD = ΔΕΒC ? Given BD = BC ? LA = LE ? LC LD ? A B AABD = AEBC ? C LLI E
Use the information given in the diagram to write a proof. PROVE ▶ FL=HN F G M H K N
A car stereo fits into a space in your dashboard. You want to buy a new car stereo, and it must fit in the existing space. What measurements need to be the same in order for the new stereo to be
Use the information given in the diagram to write a proof. PROVE /> Δ PUX = Δ QSY = P R X S W V Y Q
In Exercises 25-27, state the third congruence that must be given to prove that ΔABC ≅ ΔDEF using the indicated postulate. GIVEN A AB = DE, CB = FE, _? = ? Use the SSS Congruence
You notice two triangles in the tile floor of a hotel lobby. You want to determine if the triangles are congruent, but you only have a piece of string. Can you determine if the triangles are
Suppose both pairs of corresponding legs of two right triangles are congruent. Are the triangles congruent? Explain.
Create a design for a rug made with congruent triangles that is different from the one in the photo below.
Can a point or a line segment be its own image under a transformation? Explain and illustrate your answer.
You are making a map for an orienteering race. Participants start at a large oak tree, find a boulder 250 yards due east of the oak tree, and then find a maple tree that is 50 west of north of the
In Exercises 26-29, use the diagram. State whether the given values for x, y, and z are possible or not. If not, explain. x = 90, y = 68, z = 42
In Exercises 25-27, state the third congruence that must be given to prove that ΔABC ≅ ΔDEF using the indicated postulate. GIVEN LA = LD, CA = FD, _? = ? Use the SAS Congruence Postulate.
In Exercises 26-29, use the diagram. State whether the given values for x, y, and z are possible or not. If not, explain. x = 40, y = 72, z = 36
Complete the statement using the description of the translation. In the description, points (0, 3) and (2, 5) are two vertices of a hexagon. If (0, 3) translates to (0, 0), then (2, 5) translates to?
In Exercises 26-29, use the diagram. State whether the given values for x, y, and z are possible or not. If not, explain. x = 25, y = 25, z = 15
Use the information given in the diagram to write a proof. PROVE AC= GE A C F D B E G
In Exercises 25-27, state the third congruence that must be given to prove that ΔABC ≅ ΔDEF using the indicated postulate. GIVEN LB = LE, AB = DE, ? = ? Use the SAS Congruence
Complete the statement using the description of the translation. In the description, points (0, 3) and (2, 5) are two vertices of a hexagon. If (0, 3) translates to (-3, -2), then (2, 5) translates
When rescuers enter a partially collapsed building they often have to reinforce damaged doors for safety.a. Diagonal braces are added to Door 1 as shown below. Explain why the door is more stable
Complete the statement using the description of the translation. In the description, points (0, 3) and (2, 5) are two vertices of a hexagon. If (0, 3) translates to (1, 2), then (2, 5) translates to
Which of the triangles below are congruent? A B D E G M H K LN P
In Exercises 26-29, use the diagram. State whether the given values for x, y, and z are possible or not. If not, explain. x= 42, y = 72, z = 33
In Exercises 29 and 30, describe and correct the error. All equilateral triangles are also isosceles. So, if A ABC is isosceles, then it is equilateral as well. x
Explain how you can find the distance across the canyon. A B С D E
A point on an image and a transformation are given. Find the corresponding point on the original figure. Point on image: (-3, 5); transformation: (x, y) → (x, y)
A point on an image and a transformation are given. Find the corresponding point on the original figure. Point on image: (4, 0); transformation: (x, y) → (x + 2, y − 3)
Use the given information and the diagram to write a two-column proof. GIVEN PQ|| VS, QU|| ST, PQ = VS PROVE ► LQ = LS P Q V R S. U T
In Exercises 29 and 30, describe and correct the error. m21 +80° +50° = 180° 80⁰ 50° x
Find the slope of the line that passes through the points. A(3, 0), B(7, 4)
Write a two-column proof. GIVEN AK = CJ, ZBJK = /BKJ, ZA = ZC PROVE AABK = ACBJ B A J K C
Which of the following is not possible? A An acute scalene triangle C An obtuse isosceles triangle B A triangle with two acute exterior angles D An equiangular acute triangle
A point on an image and a transformation are given. Find the corresponding point on the original figure. Point on image: (6, -9); transformation: (x, y) → (x-7, y-4)
In Exercises 31 and 32, identify the theorem or postulate you would use to prove the triangles congruent. A HIL D. B C F E
Find the slope of the line that passes through the points. F(1, 8), G(-9, 2)
State the segment or triangle that represents the image. You can use tracing paper to help you see the rotation. 90° clockwise rotation of ST about E
Write a flow proof. GIVEN PROVE Z. V VW = UW, ZX=ZZ AXWV = AZWU Y W ·X
Find the slope of the line that passes through the points. M(-4,-10), N(6, 2)
In Exercises 32-37, find the values of x and y. 43° 75° 如
Use the Distance Formula to find the length of the segment. Round your answer to the nearest tenth of a unit. (-3, 3) -2- y (0, 0) X
In Exercises 31 and 32, identify the theorem or postulate you would use to prove the triangles congruent. A A B S D E C D ·F
Find the value(s) of the variable(s). Explain your reasoning.
Can you use the given information to determine that AB ≅ BC? Justify your answer. ZABDZCBD, AD = CD A B D C
Draw and label the figure described below. Then, identify what is given and write a two-column proof.In an isosceles triangle, if a segment is added from the vertex between the congruent sides to the
In Exercises 32-37, find the values of x and y. 118° вро yº 22°
Use the x- and y-intercepts to write an equation of the line. 1 y X
Find the value(s) of the variable(s). Explain your reasoning. 아 에
Use the Distance Formula to find the length of the segment. Round your answer to the nearest tenth of a unit. (-2,-1) y (3, 2) X
Can you use the given information to determine that AB ≅ BC? Justify your answer. ACL BD, ΔADE = Δ CDE A B D
State the segment or triangle that represents the image. You can use tracing paper to help you see the rotation. 90° counterclockwise rotation of BX about E
Find the value(s) of the variable(s). Explain your reasoning. 40 8y 40 30°
In Exercises 32-37, find the values of x and y. 25° yº xº 20°
Use the x- and y-intercepts to write an equation of the line. .y 3 3. X
Use the Distance Formula to find the length of the segment. Round your answer to the nearest tenth of a unit. y (1,3) 1 (2,-2) X
In Exercises 32-37, find the values of x and y. до 64°
State the segment or triangle that represents the image. You can use tracing paper to help you see the rotation. 180° rotation of ABWX about E

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