1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
n200080 [17]
3 years ago
5

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:
dmitriy555 [2]3 years ago
6 0
We have that
triangle ABC coordinates
A (0,2)  B(2,4)  C(0,0)

triangle DEF coordinates 
D (2,0)  E ( 4,4)  F (4,2)

using a graph tool
see the attached figure

therefore

Line 1<span> Segment AC equals 2. Segment FE equals 2. Segment AC is congruent to segment FE 
</span>so
Segment AC equals 2-------> is correct
Segment FE equals 2-----> is correct
Segment AC is congruent to segment FE------> is correct

<span>Line 2 ∠A ≅ ∠F------> is correct
</span>
<span>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
</span>
find the distance AB
d=√[(4-2)²+(2-0)²]--------> d=√[4+4]-----> d=√8-----> d=2.83
AB=2.83
so
Line 3 is correct

<span>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
</span>
find the distance DE
d=√[(4-0)²+(4-2)²]--------> d=√[16+4]-----> d=√20-----> d=4.47
DE=4.47
so
Line 4------> is correct

<span>Line 5 segment AB is congruent with segment DE
AB is not congruent with DE
so
Line 5 is not correct

therefore

the answer is
</span><span>the student make the first mistake in line 5</span><span>

</span>

You might be interested in
In triangle JKL, sin(b°) = three fifths and cos(b°) = four fifths. If triangle JKL is dilated by a scale factor of 2, what is ta
scoundrel [369]

Answer:

Tan(b°) = 3/4 = three fourths (C)

Step-by-step explanation:

Triangle JKL is a right angled triangle in which angle K is a right angle and angle L= b°

We would apply SOHCAHTOA from trigonometry to determine the value for each sides.

For ∆JKL

Sin(b°) = opposite/hypotenuse

Sin(b°) = 3/5

Cos(b°) = adjacent/hypotenuse

Cos(b°) = 4/5

Tan(b°) = 3/4

From the above we know the value of each sides of ∆JKL

Find attached the diagram of the above triangle (1)

∆JKL is dilated by a scale factor = 2

Meaning we would multiply each sides of ∆JKL by 2. The values of the new triangle become:

Opposite = 2(3) = 6

Adjacent = 2(4) = 8

Hypotenuse = 2(5) = 10

To find tan(b°) of the new triangle, we would apply tangent ratio

Tan(b°) = opposite/adjacent

Tan(b°) = 6/8

Tan(b°) = 3/4

Find attached the diagram for the new triangle (2)

Diagram 3 shows the drawing of both triangles together.

From the above, we can see the angle doesn't change when a shape is dilated by a scale factor.

Therefore, tan(b°) = three fourths (C)

6 0
3 years ago
⭐Please help me figure out this question...Thanx⭐
Firdavs [7]
The answer is D just so you know
7 0
3 years ago
What is the value of "?" if the Perimeter = 50 km?
777dan777 [17]

Answer:

14km

Explanation

11km + 11km = 22km is the sum of both the width.

If you want to find the length than minus the perimeter with 22.

50km - 22km = 28km is the sum of both the length.

To know only one side of the length, divide it by 2.

28km/2 = 14km is the length

6 0
2 years ago
Joe went to the store and bought 4 cans of peanuts for $7.80 .What is the constant of proportionality?
Paladinen [302]

Answer:

$1.95 for one can of peanuts.

Step-by-step explanation:

4 0
3 years ago
How to use a bar model?
riadik2000 [5.3K]
You make a bar and you take 34 and shade 18. Count the squares not shaded.

Don't take my word on this. I may be wrong.

4 0
2 years ago
Other questions:
  • Yo what’s good brah <br> ✌
    13·2 answers
  • What is the distance between points (10,7) and (2,7) on a coordinate plane?<br> please help me
    10·2 answers
  • If the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis esti
    7·1 answer
  • Simplify the radical square root 245c^3
    11·1 answer
  • Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distanc
    10·1 answer
  • Can somebody help me please I really need help
    13·1 answer
  • When cooking a certain type of rice, the ratio of water to rice should always be 3 to 2. The table below shows this relationship
    9·1 answer
  • − <br> 1<br> ​ <br> + <br> −81<br> ​ <br> − <br> 16<br> ​ <br> − <br> −1<br> ​
    13·1 answer
  • Solve for the ? in the diagram below.​
    10·1 answer
  • Q. Find the measure of QR
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!