Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?

triangles WXZ and XYZ that share side XZ with right angle XZW, WZ equals 12, XZ equals 6, and YZ equals 3

Since segment XZ is perpendicular to segment WY, angles WZX and XZY are both right angles and congruent. The proportion ________ shows the corresponding sides are proportional, so the triangles are similar by the SAS Similarity Postulate.

6 over 12 equals 3 over 6
6 over 3 equals 6 over 12
6 over 6 equals 3 over 12
12 over 6 equals 3 over 6
Question 2(Multiple Choice Worth 1 points)
(03.05 MC)

Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C and angles D and B are right angles.

A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 5x − 5 and EC = 3x + 9, find the distance between the top and bottom of the bridge, in feet.

7 ft
30 ft
60 ft
90 ft
Question 3(Multiple Choice Worth 1 points)
(03.05 MC)

ΔAXY is similar to ΔABC.

triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C

Which of the following expressions could be used to determine the length of segment AC?

AC = AB
AC = AY
AC equals AB times AY over AX
AC equals AB times AX over AY
Question 4(Multiple Choice Worth 1 points)
(03.05 LC)

Are triangles DEF and LNM similar if LN equals 5, MN equals 3, DE equals 10, and FE equals 6?

triangles LNM and DEF with angles N and E marked with the right angle symbol

No, the corresponding sides are not proportional
No, the corresponding angles are not congruent
Yes, by the SSS Similarity Postulate
Yes, by the SAS Similarity Postulate
Question 5(Multiple Choice Worth 1 points)
(03.05 LC)

Name the similar triangles.

triangles CBA and DEF with angle D congruent to angle C and angle E congruent to angle B

ΔABC ~ ΔDEF
ΔABC ~ ΔEFD
ΔABC ~ ΔDFE
ΔABC ~ ΔFED
Question 6(Multiple Choice Worth 1 points)
(03.05 MC)

Prove that ΔABC and ΔEDC are similar.

triangles ABC and DEC where angles A and E are right angles, AC equals 4, AB equals 3, BC equals 5, DC equals 15, DE equals 9, and CE equals 12

15 over 4 equals 12 over 5 equals 9 over 3 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate.
∠E and ∠A are right angles; therefore, these angles are congruent since all right angles are congruent. 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate.
∠E and ∠A are right angles; therefore, these angles are congruent since all right angles are congruent. 12 over 4 equals 9 over 3 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate.
∠DCE is congruent to ∠BCA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate.
Question 7(Multiple Choice Worth 1 points)
(03.05 MC)

triangle ADC with median DB where point B is between points A and C, AD equals 15, and DC equals 15

segment DB is an angle bisector of ∠ADC. Which statement best describes the relationship between the triangle ABD and CBD?

Triangles ABD and CBD are congruent by the SSS Congruence Postulate.
Triangles ABD and CBD are similar by the SSS Similarity Postulate.
Triangles ABD and CBD are congruent by the SAS Congruence Postulate.
Triangles ABD and CBD are similar by the SAS Similarity Postulate.
Question 8(Multiple Choice Worth 1 points)
(03.05 MC)

If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?

segment EF over segment LM equals segment FG over segment MN
segment EF is congruent to segment LM
segment EF over segment LM equals segment EG over segment LM
segment EG is congruent to segment LM
Question 9(Multiple Choice Worth 1 points)
(03.05 MC)

ΔABC is similar to ΔAXY by a ratio of 3:2. If BC = 24, what is the length of XY?

triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C

XY = 8
XY = 12
XY = 16
XY = 36
Question 10(Multiple Choice Worth 1 points)
(03.05 MC)

An aerial camera is suspended from a blimp positioned at point D. It hangs at an altitude of 125 meters. If the camera hangs 10 meters below the blimp and the blimp attachment is 20 meters in length, how much ground distance from A to C can the aerial camera cover?

A blimp over triangle EDF with height of 10 meters and FE equals 20 meters and triangle ADC with height of 125 meters and ground distance AC. Triangles share point D.

62.5 m
125 m
250 m
500 m
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FDK411.12

Question

Dylankane09262006 Dylankane09262006

15-11-2022
Mathematics

Answered

Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?

triangles WXZ and XYZ that share side XZ with right angle XZW, WZ equals 12, XZ equals 6, and YZ equals 3

Since segment XZ is perpendicular to segment WY, angles WZX and XZY are both right angles and congruent. The proportion ________ shows the corresponding sides are proportional, so the triangles are similar by the SAS Similarity Postulate.

6 over 12 equals 3 over 6
6 over 3 equals 6 over 12
6 over 6 equals 3 over 12
12 over 6 equals 3 over 6
Question 2(Multiple Choice Worth 1 points)
(03.05 MC)

Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C and angles D and B are right angles.

A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 5x − 5 and EC = 3x + 9, find the distance between the top and bottom of the bridge, in feet.

7 ft
30 ft
60 ft
90 ft
Question 3(Multiple Choice Worth 1 points)
(03.05 MC)

ΔAXY is similar to ΔABC.

triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C

Which of the following expressions could be used to determine the length of segment AC?

AC = AB
AC = AY
AC equals AB times AY over AX
AC equals AB times AX over AY
Question 4(Multiple Choice Worth 1 points)
(03.05 LC)

Are triangles DEF and LNM similar if LN equals 5, MN equals 3, DE equals 10, and FE equals 6?

triangles LNM and DEF with angles N and E marked with the right angle symbol

No, the corresponding sides are not proportional
No, the corresponding angles are not congruent
Yes, by the SSS Similarity Postulate
Yes, by the SAS Similarity Postulate
Question 5(Multiple Choice Worth 1 points)
(03.05 LC)

Name the similar triangles.

triangles CBA and DEF with angle D congruent to angle C and angle E congruent to angle B

ΔABC ~ ΔDEF
ΔABC ~ ΔEFD
ΔABC ~ ΔDFE
ΔABC ~ ΔFED
Question 6(Multiple Choice Worth 1 points)
(03.05 MC)

Prove that ΔABC and ΔEDC are similar.

triangles ABC and DEC where angles A and E are right angles, AC equals 4, AB equals 3, BC equals 5, DC equals 15, DE equals 9, and CE equals 12

15 over 4 equals 12 over 5 equals 9 over 3 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate.
∠E and ∠A are right angles; therefore, these angles are congruent since all right angles are congruent. 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate.
∠E and ∠A are right angles; therefore, these angles are congruent since all right angles are congruent. 12 over 4 equals 9 over 3 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate.
∠DCE is congruent to ∠BCA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate.
Question 7(Multiple Choice Worth 1 points)
(03.05 MC)

triangle ADC with median DB where point B is between points A and C, AD equals 15, and DC equals 15

segment DB is an angle bisector of ∠ADC. Which statement best describes the relationship between the triangle ABD and CBD?

Triangles ABD and CBD are congruent by the SSS Congruence Postulate.
Triangles ABD and CBD are similar by the SSS Similarity Postulate.
Triangles ABD and CBD are congruent by the SAS Congruence Postulate.
Triangles ABD and CBD are similar by the SAS Similarity Postulate.
Question 8(Multiple Choice Worth 1 points)
(03.05 MC)

If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?

segment EF over segment LM equals segment FG over segment MN
segment EF is congruent to segment LM
segment EF over segment LM equals segment EG over segment LM
segment EG is congruent to segment LM
Question 9(Multiple Choice Worth 1 points)
(03.05 MC)

ΔABC is similar to ΔAXY by a ratio of 3:2. If BC = 24, what is the length of XY?

triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C

XY = 8
XY = 12
XY = 16
XY = 36
Question 10(Multiple Choice Worth 1 points)
(03.05 MC)

An aerial camera is suspended from a blimp positioned at point D. It hangs at an altitude of 125 meters. If the camera hangs 10 meters below the blimp and the blimp attachment is 20 meters in length, how much ground distance from A to C can the aerial camera cover?

A blimp over triangle EDF with height of 10 meters and FE equals 20 meters and triangle ADC with height of 125 meters and ground distance AC. Triangles share point D.

62.5 m
125 m
250 m
500 m
You must check the box below prior to submitting your exam!

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Student e-mail accounts are to be used for FLVS course-related email only and not for general introductions or spamming of people in your address book.

Please remember to click the Logoff link when you have completed your work in the course.
FDK411.12

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