Question

A student solved the following problem and made an error:

Triangles ABC and DEF. Angles A and F are congruent and measure 135 degrees. Coordinates for the vertices are at A 0, 2 and B 2

Line 1 segment AC equals 2, segment DF equals 2, segment AC is congruent to segment DF
Line 2 ∠A ≅ ∠F
Line 3 Length of segment AB .
A (0, 2)
B (2, 4)
d equals square root of quantity x sub 1 minus x sub 2 squared plus quantity y sub 1 minus y sub 2 squared, then d equals square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, then d equals square root of negative 2 squared plus negative 2 squared, then d equals square root of 4 plus 4, then d equals square root of 8
segment AB = 2.83
Line 4 Length of segment FD .
D (2, 0)
F (4, 2)
d equals square root of quantity x sub 1 minus x sub 2 squared plus quantity y sub 1 minus y sub 2 squared then d equals square root of quantity 2 minus 4 all squared plus quantity 0 minus 2 all squared, then d equals square root of negative 2 squared plus negative 2 squared, then d equals square root of 4 plus 4, then d equals square root of 8
segment FD = 2.83
Line 5 segment AC is congruent to segment FD
Line 6 t\Ú,ã;riangle ABC is congruent to triangle FDE by SAS
In which line did the student make the first mistake? (4 points)

Line 6
Line 1
Line 5
Line 2

Answer 1

HELP ME

Answer 2

@MxxnLight Can you help

Answer 3

Is this a quiz/exam/test?

Answer 4

An assignment. Not a quiz or test

Answer 5

Oh, ok.

Answer 6

Well I can't help im sorry.

Answer 7

oh ok

Answer 8

@TETSXPREME

Answer 9

like first step given : triangles ABC and DEF
so in this way wrote A not can be congruent with F

if ABC congruent DEF from this result angle A congruent angle D
angle B congruent angle E and angle C congruent angle F

this is the first error made

@AZ opinion pls

Answer 10

@Laylalyssa what you think about this pls . ? ty

Answer 11

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
@Laylalyssa what you think about this pls . ? ty
\(\color{#0cbb34}{\text{End of Quote}}\)
idk this-

Answer 12

have you learn about triangle congruentcy ?

Answer 13

suppose triangle ABC congruent triangle EFG

what can you deducting from this ?

Answer 14

by sides and angles congruentcy

Answer 15

so wrote in this way

triangle ABC congruent triangle EFG

from these wrote in this way result

side AB congruent side EF
side BC congruent side FG
side AC congruent side EG
and so in this way with angles too

angle A congruent angle E
angle B congruent angle F
angle C congruent angle G

do you understand it now ?

Answer 16

corresponding sides and corresponding angles

Answer 17

this is why i ve wrote above my opinion that what is the first error made in case of this posted problem

Answer 18

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
like first step given : triangles ABC and DEF
so in this way wrote A not can be congruent with F

if ABC congruent DEF from this result angle A congruent angle D
angle B congruent angle E and angle C congruent angle F

this is the first error made

@AZ opinion pls
\(\color{#0cbb34}{\text{End of Quote}}\)
wrote in this way

Answer 19

The question does not state that triangle ABC is congruent with triangle DEF.

It does state that angle A is congruent with angle F.

However, there is information missing regarding all the coordinates of the triangles.