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Leya [2.2K]
3 years ago
7

A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de

grees. Coordinates for the vertices are at A 0, 2 and B 2, 4 and C 0, 0 and D 2, 0 and E 4, 4 and F 4, 2. Line 1 Segment AC equals 2. Segment FE equals 2. Segment AC is congruent to segment FE Line 2 ∠A ≅ ∠F Line 3 Length of segment AB. A (0, 2) B (2, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, d equals square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, d equals square root of negative 2 squared plus negative 2 squared, d equals square root of 4 plus 4, d equals square root of 8 segment AB = 2.83 Line 4 Length of segment DE. D (2, 0) E (4, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared, d equals square root of quantity 2 minus 4 all squared plus quantity 0 minus 4 all squared, d equals square root of negative 2 squared plus negative 4 squared, d equals square root of 4 plus 16, then d equals square root of 20 segment DE = 4.47 Line 5 segment AB is congruent with segment DE Line 6 triangle ABC is congruent with triangle FDEby SAS In which line did the student make the first mistake? Line 2 Line 5 Line 3 Line 4
Mathematics
1 answer:
nignag [31]3 years ago
7 0

The first false statement in the proof as it stands is in Line 5, where it is claimed that a line of length 2.83 is congruent to a line of length 4.47. This mistake cannot be corrected by adding lines to the proof.

_____

The first erroneous tactical move is in Line 4, where the length of DE is computed, rather than the length of FD. This mistake can be corrected by adding lines to the proof.

A correct SAS proof would use segment FD in Line 4, so it could be argued that the first mistake is there.

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Answer:

D) A graph shows both axes unnumbered. Points are scattered all over the graph.

Step-by-step explanation:

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8 0
2 years ago
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Answer:

As per the statement: Hannah already had 44 photos on her camera when she arrived in Rome.Then she took 24 photos each day for 6 days.

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now, to find the total number of photos took by Hannah for 6 days in Rome;

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5 0
2 years ago
A three-digit number between 100 and 200 is prime. The number, formed by the last two digits of it is also prime. The two last d
wolverine [178]
113  is one number. 131 is another
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I think that's all of them.

You can check if you google 'list of primes'.

Hold on  i'm not sure about 113 and 131 Is number 1 a prime number?  I dont think it is , So  that leaves us with  only 137 and 173.


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