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
Gre4nikov [31]
3 years ago
7

Give statements and reasons

Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer:

A two column proof is presented as follows;

Statement {}                                     Reason

1. AB ║ DE, BD bisects AE        {}    Given

2. ∠BAE = ∠AED, ∠ABD = ∠BDA {} Alternate ∠s are equal

3.  \overline {AC} =  \overline {EC} ,  \overline {BC} =  \overline {CD} {} {}            By definition of bisection of line AE by BD

4. ΔABC ≅ ΔEDC  {}                         By SAA, rule of congruency

Step-by-step explanation:

Step 1. AB ║ DE, BD bisects AE        {}    Given

Step 2. ∠BAE , ∠AED, and ∠ABD, ∠BDA {} are pairs of alternate angles formed by the parallel lines, AB and DE and are therefore, equal

Step 3.  \overline {AC} =  \overline {EC} ,  \overline {BC} =  \overline {CD}  The bisection of line gives two lines of equal length. The bisection of AE by BD gives,  \overline {AC} and  \overline {EC} where \overline {AC} =  \overline {EC}

Similarly, the bisection of BD by AE gives, \overline {BC} and  \overline {CD}, where  \overline {BC} =  \overline {CD}

Step 4. ΔABC ≅ ΔEDC  {}  By the Side-Angle-Angle (SAA), rule of congruency, which states that two triangles having two angles and the corresponding non included sides of each triangle equal to the other, the two triangles are congruent.

You might be interested in
A classroom has stadium seating. There are 10 seats in the first row, 13 seats in the second row, 16 seats in the third row and
Nikolay [14]
The right answer is “The classroom has 5,180 seats “
3 0
3 years ago
A bottle of root beer contains 4/5 L. How much root beer is in 3 bottles?
shusha [124]
3\cdot\frac{4}{5}=2.4 \hbox{ l}
5 0
3 years ago
What is 134,221,537 + 80,991 ,199 rounded to the nearest ten - thousand
DedPeter [7]
<span>215,212,736

Round by 10,000 is 215,210,000</span>
4 0
3 years ago
Read 2 more answers
Plz help ASAP!!!! PLZ
AnnyKZ [126]
To find a missing side of a right triangle use the Pythagorean theorem
A2+b2=c2
C is the hypotenuse (long side)
Plug into the equation
11^2+b2=12^2
121+b2=144
So subtract 144-121 to get the missing side you get 23
Take the square root
It will be 4.7
If they want it rounded
X=5
If I had any mistakes in my answer I am sorry but everything should be correct
3 0
3 years ago
What is the simplification of (-2x+4) + 2(2x+1)
melomori [17]
(-2x+4)+2(2x+1)= -2(-x-3)
4 0
3 years ago
Other questions:
  • What is the slant height for the given pyramid to the nearest whole unit?
    8·2 answers
  • A young woman wants to make at least $200 a week and can't work no more than 30 hours a week. she works at the library for $8 an
    10·1 answer
  • I run a 10km race in 56 minutes.what is my average speed in kilometres per minute
    14·1 answer
  • It costs $19.50 for postage and $5 for insurance to send a one-pound box by Express Mail.
    10·1 answer
  • A bakery sells mocha cupcakes and vanilla cupcakes. It sold 391 mocha cupcakes in a day. 15% of the cupcakes sold that day were
    9·1 answer
  • If a square has an area of 324 ft what is the length of each side
    15·2 answers
  • How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction
    9·1 answer
  • The following exchange rate is given £1 = 1.15 euros. Convert €7 into euros<br>euros​
    12·2 answers
  • Gabe is mapping out important family events. He uses negative numbers to represent time before he was born and positive numbers
    8·1 answer
  • Garcia is modeling the equation 5x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!