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
Brut [27]
3 years ago
6

If the diagonals of a quadrilateral bisect the angles, is the quadrilateral always a parallelogram? Explain your answer.

Mathematics
1 answer:
Liula [17]3 years ago
6 0
Yes. If the diagonals bisect the angles, the quadrilateral is always a parallelogram, specifically, a rhombus.


Consider quadrilateral ABCD. If diagonal AC bisects angles A and C, then ΔACB is congruent to ΔACD (ASA). Hence AB=AD and BC=CD (CPCTC).

Likewise, if diagonal BD bisects angles B and D, triangles BDA and BDC are congruent, thus AB=BC and AD=CD. (CPCTC again). Now, we have AB=BC=CD=AD, so the figure is a rhombus, hence a parallelogram.
You might be interested in
32) (a)-(c) pre calculus
Harrizon [31]
Well, remember we can't take the square root of a negative

so we see that we have \sqrt{1-x^2}
so find those values that take sqrt of a negative and restrict hem from the domain
anny value greater than 1 and less than -1
so domain is from -1 to 1, including those numbers
D=[-1,1]

a. D=[-1,1] or from -1 to 1 is domain


b. for a TI-84, go to y-editor then input 4x \sqrt{1-x^2} for y1

c. for a TI-84, click 2nd then window (gets to tbset) scrol down to set Δx to 0.1, then cilick 2nd again then click graph (to select table) and scroll down till you see that value of y that is the biggest, that value is x=0.7



A. domain is from -1 to 1
B. use your brain or google the instructions for your calulator
C. at x=0.7


8 0
3 years ago
Which list correctly orders A, B, and C from least to greatest when A= |7|, B = _6, and C = |-5|?
zheka24 [161]

Answer:

D. B,C,A

Step-by-step explanation:

A= |7|=7

B= -6

C= |-5|=5

so this means that B<C<A = -6<5<7

so; B,C,A = -6,7,5

8 0
3 years ago
In Ellen's math class, there are 2 boys for every 3 girls . What is the the following ratio of boys to girls in the class ?
IrinaK [193]
Based on the ratio of boys/girls We can infer that the only possibility for Ellen's math class would be answer B. 14/21
4 0
4 years ago
PLEASE I NEED HELP!!
Maksim231197 [3]
By 91 dollars
because 22.75 times 4 is 91
3 0
3 years ago
Read 2 more answers
Simplify the following fraction 4½-2⅝​
Sophie [7]

Answer:

Step-by-step explanation:

4 1/2 - 2 5/8

4 4/8 - 2 5/8 = 1 and 7/8

i mean i guess you could also do this witho ut sol ving

4 4/8 - 21/8 --> 36/8 - 21/8

i dk it's si mplify not solve so here?

5 0
3 years ago
Read 2 more answers
Other questions:
  • A High School is currently 700 students and increases at an annual rate of 3.5% per year
    6·1 answer
  • The industrial and agricultural revolutions resulted in a decline in __________.
    5·1 answer
  • What is 9/72 in simplest form
    6·2 answers
  • What is the equation of the trend line ?<br> K= J+
    14·1 answer
  • A chef is making a sauce at her restaurant. She uses 2 cups of cheese for every 5 cups of cream. what all represents the relatio
    5·1 answer
  • Standard form <br> 0.000085
    9·1 answer
  • What can 25 and 3 both be divided by​
    13·1 answer
  • 3.4a=57.8 What is the value of a in this
    5·1 answer
  • TRUE OR FALSE. Scale factor is the ratio of the lengths of two congruent sides of two similar polygons.
    11·1 answer
  • The measure of the base angle of an isosceles triangle is 52.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!