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
Help please!!!!! this is a test!!!!
Aleksandr [31]

Answer:

16

Step-by-step explanation:

Given

C=2r and r=8

So

C=2×8 (as r=8)

C=16 (ans)

3 0
2 years ago
Read 2 more answers
I need help with this rq
Vesnalui [34]

Answer:

228.4

Step-by-step explanation:

9.2 + 9.2 + 60 + 75 +75 which is 228.4. Remember to divide the triangles by two after you do base times height.

7 0
2 years ago
Read 2 more answers
Amy collected data to determine how many minutes it takes each member of her freshman track team to run five miles. Identify the
Darina [25.2K]

Hola! Soy Dora! Boi ur answer A. You see how thats spaced? That concludes that its an outlier. Audios Amigo! I cant spell spanish.

8 0
3 years ago
Read 2 more answers
Please answer this question I need it i. Vertex and standard form.
Brums [2.3K]

Equation :

This parabola is facing downwards and highest point of the parabola is it's vertex.

Highest point is (-2,2)

so the vertex is (-2,2)

The graph is passing through (-1,0)

Equation in vertex form is

y = a(x - h) {}^{2}  + k

0 = a( - 1 + 2) {}^{2}  + 2 \\ 0 =a (1) {}^{2}  +2 \\  0 = a + 2 \\ a =  - 2

Substitute back in Equation

y =  - 2(x  + 2) {}^{2}  + 2

the graph has two x intercepts -1 and -3

that means (x+1) and (x+3) are the factors

multiply factors to get the equation in standard form

-2(x + 1)(x + 3) = 0 \\ -2(x {}^{2}  + x + 3x + 3) = 0 \\  -2( x {}^{2}  + 4x + 3) = 0

-2x^2-8x-6=0

4 0
2 years ago
Write the following probability as a percentage 3/5
cupoosta [38]
Hi there,

The percentage of 3/5 would be %60

3/5
3x20=60
5x20=100


Now you have 60/100, turn that into a percentage and you have %60.
4 0
3 years ago
Other questions:
  • Name all of the sets to which the real number 78 belongs.
    11·2 answers
  • What is the simplified form of the quantity x over 3 minus y over 4 all over the quantity x over 4 plus y over 3?
    10·1 answer
  • Sarah made 12 more free throws than Connie. How many free throws did Connie make if Sarah made 72?
    8·2 answers
  • The isosceles triangle has a perimeter of 570m. the third side is 30m shorter than twice the length
    5·1 answer
  • A muffin recipe calls for 4 cups of sugar and yelled 36 muffins is Amelia only wants to make 2for muffins how much sugar will sh
    15·1 answer
  • Least to greatest 6 3/10,1 3/10, 1 3/11, -7 6/14, 5 3/10
    12·1 answer
  • Which is a better estimate for the weight of a double-decker bus
    11·1 answer
  • Write this ratio as a fraction in simplest form without any units
    6·1 answer
  • What is the side length? Please help, thanks
    11·1 answer
  • Nylah buys a pack of 20 markers for $6.00. How much does a pack of 30<br> markers cost? *
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!