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
Alexandra [31]
3 years ago
7

Given: AD = BC and AD || BC

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Answer:

ABCD is a parallelogram.

Step-by-step explanation:

A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.    

From the given diagram,

Given: AD = BC and AD || BC, then:

i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)

ii. <ADC = < BCD and < DAB = < CBA

thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)

iii. < BAC = < DCA (alternate angle property)

iv. Join BD, line AC  and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.

v. <ADC + < BCD + < DAB + < CBA = 360^{0}  (sum of angles in a quadrilateral equals 4 right angles)

Therefore, ABCD is a parallelogram.

You might be interested in
A friend asked lara to help her divide 456.3 by 100. what should lara tell her? a. move the decimal point three places to the ri
Alex73 [517]

Answer:

Step-by-step explanation:

The correct answer is D.  If we are multiplying by 10 we would move the decimal place one place to the right to show that the number is now 10 times bigger.  If we multiply by one hundred.  We are getting 100 times bigger, so we would move the decimal place 2 places to the right.

The opposite is true if we are dividing.  Instead of moving the decimal to the right to show that the number is getting bigger, we move to the left to show that the number is getting smaller.  If we are getting smaller by 10, we would move the decimal one place to the left. In this case, we are getting 100 times smaller so we move the decimal two places to the left.

3 0
1 year ago
Will Mark branliest! :)<br><br> (At the end it says round the the nearest tenth) thank you!
Jobisdone [24]

Answer:

B

Step-by-step explanation:

20 x 15 is 450 and add it to the semi circle which us 88.4

Hope this helps u :D

3 0
2 years ago
Read 2 more answers
Question 5
navik [9.2K]

Answer:

A. Similar using SAS; ∆ABC ~ ∆DFE

Step-by-step explanation:

m<B of ∆ABC = m<F of ∆DFE

AB corresponds to DF

AB/DF = 12/8 = 3/2

BC corresponds to FE

BC/FE = 24/16 = 3/2

Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.

By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE

7 0
2 years ago
Which collection of three side lengths will not form a triangle
dezoksy [38]

Answer:

Any collection of lengths (a, b, c) which do not satisfy the triangle inequalities.

Step-by-step explanation:

Any collection (a, b, c) which do not satisfy the triangle inequalities. The inequalities:

a + b > c

b + c > a

a + c > b

You will need to test all of your options on the three inequalities above. If any one of the three fails, the collection won't work.

4 0
3 years ago
In the figures CDA = XYZ <br> Name the congruent sides.
torisob [31]

CD is congruent to XY, DA is congruent to YZ and AC is congruent to ZX even tho i'm not able to see properly your image

7 0
3 years ago
Other questions:
  • Solve: 3,125 = 5-10 + 3x
    13·2 answers
  • You are designing a birdhouse. You would like this birdhouse to look like a miniature version of the house you live in. You plan
    6·1 answer
  • How would you determine whether time series regression or exponential smoothing is better?
    14·1 answer
  • Michael drives to work each day. He travels a total of 160 miles at the end of the work week. How far is Michael's house from wo
    12·1 answer
  • Natural numbers are part of every other category of number except
    6·2 answers
  • Which of the following is the correct order in which to do mathematical operations?
    13·2 answers
  • The product of 9 and a number
    10·1 answer
  • 1.Consider the average speed of a runner who jogs around a track four times. The distance (400m) remains constant for each lap.
    7·2 answers
  • 2x - 2 = -18 X answer​
    12·2 answers
  • What is the solution of the system? <br> y = 5x<br> x + y = 12
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!