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
SIZIF [17.4K]
2 years ago
14

I need help with this proof i am struggling w geometry...

Mathematics
1 answer:
EleoNora [17]2 years ago
8 0

Your line 4 should have "angle DEC" not "angle EDC". The order of the letters is important. I marked the two angles ABC and DEC in the attached image below. They are alternate interior angles. Because DE || AB, this means the alternate interior angles are congruent.

Since C is the midpoint of EB, this means BC = CE by the definition of the midpoint. Basically EB is cut into two halfs BC and CE which are the same length.

After you establish all of what is mentioned previously, you would use the AAS congruence theorem. AAS stands for Angle Angle Side. One pair of angles are the vertical angles (see line 2). Another pair of congruent angles is the alternate interior angles (line 4). The sides are not between the pairs of angles mentioned. Again check out the attached image for more visual information.

Finally, if we know the triangles are congruent, then the corresponding parts are congruent (CPCTC). That leads to the conclusion that DC = AC.

Edit: it's actually ASA and not AAS because the sides are between the two angles (I was thinking of another diagram earlier)

You might be interested in
What do b times h mean
lana66690 [7]
Base times height in math
4 0
3 years ago
Read 2 more answers
V=(4/3) (3.14) (3^3)
marysya [2.9K]

Answer:

Step-by-step explanation:

V = (4/3)(3.14)(3^3)

V = 4/3 * 27 * 3.14

V = 36 * 3.14

V = 113.04

8 0
3 years ago
How do I do number three help pleaseeeeeeee
posledela
I got 36. I did 5-2=3, 3•180=540, 540/5=108, 180-108=72, and 72/2= 36
4 0
3 years ago
A first year student deposits $250 into a savings account at the Owl Credit Union at Dundalk High School paying an annual intere
Brums [2.3K]
250 + 4 (4x250) = 500
3 0
3 years ago
Factor the expression completely by first taking out a common factor<br> 3x^2 + 27x +24
Mrac [35]
The answer to this is
3(x+1)(x+8)

4 0
2 years ago
Other questions:
  • Electromagnetic waves do not require a medium, but can travel through one.
    10·1 answer
  • Create the equation of a parabola using the function h(t) = -16t2 + h0 where h(t) is the height (in feet) of an object thrown fr
    15·1 answer
  • If there was 100 birds on a nest and a killer kills one how much are left on the nest?
    7·2 answers
  • Select the correct answer.
    10·1 answer
  • The ratio of the lengths of two
    11·1 answer
  • Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43,
    8·1 answer
  • Whats The Answer Marking Brainliest, Please explain your answer:D...................<br> ..
    15·1 answer
  • HELP ASAP WILL GIVE BRAINLIEST
    11·2 answers
  • If tanx = 0.75, what is the value of cosx + sinx ?
    9·2 answers
  • PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!