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
il63 [147K]
3 years ago
7

The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel: A quadrilateral ABCD is shown with the

opposite sides AB and DC shown parallel and equal. A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram: Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle BDC, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by ________. By CPCTC, angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel. The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel: A quadrilateral ABCD is shown with the opposite sides AB and DC shown parallel and equal. A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram: Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle BDC, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by ________. By CPCTC, angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel. Which phrase best completes the student's proof? AAS Postulate HL Postulate SAS Postulate SSS Postulate
Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.

Answer:2.Triangles ABD and CDB are congruent by the SAS postulate.

Step-by-step explanation:

"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." is perfectly correct.

"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD." this is also true

so by now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent

You might be interested in
What is 1/4 divided by 10
tensa zangetsu [6.8K]
The answer is 1/40.First you have to do 1/4 times 10 which you put over 1 so 1/4 times 10/1,than you flip one of the #'s so 1/4 times 1/10 which equals 1/40
4 0
3 years ago
A man paid $42.30 for gasoline in may, $38.60 in June, and $43 in July. What was the average monthly cost for gasoline?
jeyben [28]
The average is $41.30 
3 0
3 years ago
What is the equation of the line expressed in slope-intercept form?
Alisiya [41]
(x,y)
x=how far to the right
y=how far up
ok so
y=mx+b
m=slope
b=y intercept or where the line intercept the y axis

it looks like the line intercept the y axis at 2 high so
y=mx+2
we look at our options and we see that there is only 1 equation that has y=mx+2
that is B
B is the answer
4 0
3 years ago
The value of each variable
Arte-miy333 [17]
This is a simple Pythagorean Theorem problem. 7 is the hypotenuse so you would do c^2-a^2=b^2. In this case 7^2-2^2=b^2. 7^2 is 49 and 2^2 is 4 so you have 49-4=b^2. 49-4 is 45. The square root of 45 is 6.70. So x=6.70
8 0
3 years ago
How might you use multiple reflections to describe a translation?
andre [41]

Answer:

from one language to another

Step-by-step explanation: or in math In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. In Euclidean geometry a transformation is a one-to-one correspondence between two sets of points or a mapping from one plane to another.

4 0
3 years ago
Other questions:
  • You buy two ads in a newspaper. One ad takes up 58 of a page, and the other ad takes up 18 of a page. How much space did you buy
    5·1 answer
  • The average weight of David, Esther, and Henry is 42.6 kg. Esther is twice as heavy as Henry. David is 5.2 kilograms lighter tha
    12·1 answer
  • Ratio as a reduced form for 250 to 1,000?
    10·1 answer
  • a carpenter needs to make 60 dowels. Each dowel must be 6 inches long. the wood from which the carpenter will cut the dowels com
    10·2 answers
  • The blue segment below is a radius of 0. What is the length of the diameter<br> of the circle?
    9·1 answer
  • PLS HELP.<br> YOU WILL GET A GOOD DEED :)
    13·1 answer
  • Is this a positive linear, negative linear no association or non-linear. ​
    6·1 answer
  • A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchor
    10·1 answer
  • Marking as brainliest, if u answer this an comment ur inst
    9·1 answer
  • If the die were to be rolled 6000 times, would we expect to obtain exactly 1000 '2's? explain your answer.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!