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xxTIMURxx [149]
1 year ago
15

Stefan was able to map \triangle ABD△ABDtriangle, A, B, D onto \triangle ABC△ABCtriangle, A, B, C. Stefan concluded: "I was able

to map \triangle ABD△ABDtriangle, A, B, D onto \triangle ABC△ABCtriangle, A, B, C using a sequence of rigid transformations, so the figures are congruent." What error did Stefan make in his conclusion? Choose 1 answer: Choose 1 answer: (Choice A) A Stefan didn't use only rigid transformations, so the figures are not congruent. (Choice B) B It's possible to map \triangle ABD△ABDtriangle, A, B, D onto \triangle ABC△ABCtriangle, A, B, C using a sequence of rigid transformations, but the figures are not congruent. (Choice C) C There is no error. This is a correct conclusion.
Mathematics
1 answer:
lianna [129]1 year ago
0 0

Answer: Stefan didn’t use only rigid transformations, so the figures are not congruent

Step-by-step explanation:

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A football field is 120 yards long by 53 yards wide if a player runs diagonally from one corner to the opposite corner. How far
qaws [65]

Answer: They will travel about 131.18 yards.

Step-by-step explanation:

Given : A football field is 120 yards long by 53 yards wide.

We know that a football field is rectangular in shape.

Each interior angle in a rectangle is a right angle.

Then, by Pythagoras theorem, we have

(Diagonal)² = (Length)² + (Width)²

If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-

(\text{Diagonal})=\sqrt{(120)^2+(53)^2}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{14400+2809}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{17209}\\\\\Rightarrow\ (\text{Diagonal})=131.183078177\approx131.18\text{ yards}

Hence, they will travel about 131.18 yards.

7 0
2 years ago
A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?
Phantasy [73]
$216 x 0.08 = $17.28.
Therefore $17.28 was collected for sales tax.
4 0
1 year ago
What is the multiplicative rate of change of the function? One-fifth Two-fifths 2 5
nlexa [21]

Answer:

A on edge

Step-by-step explanation:

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4 0
2 years ago
Read 2 more answers
Choose the abbreviation of the postulate or theorem that supports the conclusion that △WAS ≅ △NOT.
Nana76 [90]

Answer: SSS

<u>Step-by-step explanation:</u>

<u>W</u>A = <u>N</u>O

<u>A</u>S = <u>O</u>T

<u>S</u>W = <u>T</u>N

△WAS ≅ △NOT by SSS Congruency Theorem

5 0
2 years ago
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Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.
kolbaska11 [484]

Answer:

See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

  • AB ≅ BA;
  • AC ≅ BD;
  • BC ≅ AD;
  • ∠ABC ≅ ∠BAD;
  • ∠BCA ≅ ∠ADB;
  • ∠CAB ≅ ∠DBA.

Consider triangles AEC and BED. In these triangles,

  • AC ≅ BD;
  • ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
  • ∠AEC ≅ ∠BED (as vertical angles).

So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

6 0
2 years ago
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