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
Contact [7]
3 years ago
8

Given: ABCD is a ∥-gram, BF ⊥ CD , BE ⊥ AD, Prove: △ABE∼△CBF

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

Hence proved △ABE∼△CBF.

Step-by-step explanation:

Given,

ABCD is a parallelogram.

BF ⊥ CD    and

BE ⊥ AD

To Prove : △ABE∼△CBF

We have drawn the diagram for your reference.

Proof:

Since ABCD is a parallelogram,

So according to the property of parallelogram opposite angles are equal in measure.

\therefore m\angle A = m\angle B ⇒1

And given that BF ⊥ CD and BE ⊥ AD.

So we can say that;

m\angle F=m\angle E=90\° ⇒2

Now In △ABE and △CBF

∠A = ∠C   (from 1)

∠E = ∠F    (from 2)

So by A.A. similarity postulate;

△ABE∼△CBF

You might be interested in
Which expression represents the perimeter of the
Svetllana [295]
Answer: 15x + 6
5x + 2x+3 = 7x+3
6x+4 + 7x+3 = 13x + 7
13x+7 + 2x-1 = 15x+ 6
5 0
3 years ago
These box plots show the basketball scores for two teams
Alex

Answer: B

Step-by-step explanation:

7 0
3 years ago
Better Crocker is baking a cake. She needs 2 1/4 cups of sugar and 1 1/2 cups of brown sugar. How much sugar does she need in al
Svet_ta [14]

Answer:

3 3/4 cups of sugar

Step-by-step explanation:

7 0
3 years ago
The correct expression for a number which is 9 times as big as the number obtained after p has been increased
defon

Answer:

9(p + 4)

Step-by-step explanation:

One of the unknown variable is p.

First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).

Translating the word problem into an algebraic expression, we have;

9 * (p + 4) = 9(p + 4)

Simplifying further, we have;

9p + 36

4 0
3 years ago
A side of the triangle below has been extended to form an exterior angle of 128° . Find the value of x.​
AfilCa [17]

Answer:

Step-by-step explanation:

The sum of adjacent angles traversed by a line must equal 180 degrees.

128+x=180

x=52

8 0
3 years ago
Read 2 more answers
Other questions:
  • Jennie has 177 more songs downloaded on her mp3 player than Diamond. Together, they have 895 songs downloaded. How many do each
    7·1 answer
  • A group of workers can plant 27 acres in 9 days. what is there rate in acres per day?
    5·1 answer
  • A sphere has a diameter of 10 in. What is the volume of the sphere?
    5·2 answers
  • What is equivalent to 2:6
    9·2 answers
  • 1. If it rains on Friday, then the game is postponed.
    7·1 answer
  • What is the answer to this question below guys.
    5·1 answer
  • Solve similar triangles
    12·2 answers
  • Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helppppppppppppppppp me i do anyhting just help[
    13·1 answer
  • Whats the answer can someone answer please​
    11·1 answer
  • What is the area of this figure? Please help
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!