onals that bisect the angles. A parallelogram through a ideal angle and also diagonals that bisect the angles. A parallelogram v a best angle and opposites sides that room congruent. A parallelogram v all political parties congruent.

You are watching: Which statement describes a parallelogram that must be a square?

Consider a parallelogram with a right angle and also diagonals that bisect the angles.

In the figure, ABCD is a parallelogram v ∠ A = 90°.

Since the opposite angle of a parallelogram are equal,

∠ A = ∠ C = 90° and ∠ B = ∠ D

Also, since surrounding angles the a parallelogram are supplementary,

∠ A + ∠ B = 180°

But, because ∠ A = 90°, ∠ B = 90° and also ∠ D = 90°

Therefore, ∠ A = ∠ B = ∠ C = ∠ D.

Now, the is offered that the diagonals bisect the angles.

Therefore, ∠ OAB = ∠ OBA = ∠ OBC = ∠ OCB = 45°

Consider, triangles OBA and also OBC.

∠ OBA = ∠ OBC = 45°

and OB = OB (common)

Therefore, Δ OBA ≅ Δ OBC (SAS Rule)

By equivalent parts that congruent triangles,

AB = BC

Note that in a parallelogram, opposing angles are congruent.

Therefore, abdominal muscle = BC = CD = DA.

Hence, in the parallelogram ABCD, us have,

AB = BC = CD = DA and ∠ A = ∠ B = ∠ C = ∠ D = 90°

Hence, ABCD is a square.

See more: Dear White People Season 2 Episode 10, Chapter X (Vol

Send

Pie5 month ago
6 0

thedesigningfairy.com:

A Parallelogram with a best angle and also diagonals the bisect the angles

Step-by-step explanation:

I just took the test

Send
You could be interested in

Clare claims that (10+3)(10-3) is tantamount to 10 32 and also and (20+1)(20-1) is identical to 202-12 do you agree? display your reaso
dem82 <27>

thedesigningfairy.com:

no since paranthesis should constantly be excellent first

Step-by-step explanation:

it need to be (13)(7)(21)(19)

6 0
4 months ago
2,000 milligrams same how plenty of grams
ycow <4>
2 grams would be the thedesigningfairy.com
7 0
5 months ago
9 x 1/4 =?1x 23/100=?
patriot <66>

thedesigningfairy.com:

fwoggy

Step-by-step explanation:

6 0
2 month ago
How did newton understand that 1%of 80 is 0.8
Marina86 <1>
So,Newton knows that 1% of anything really just method moving the decimal suggest two places to the left.Examples:1% the 10 = 0.11% the 389,092,192 = 3,890,921.921% of 3.1415926 = 0.031415926Knowing this, Newton numbers that every he needs to do is relocate the decimal ar two areas to the left.1% the 80 = 0.8
8 0
7 months ago
Gordon is walking to his friend"s house at a price of 4 mph. If his friend"s home is 3 miles away, i beg your pardon of the selections is a reas
faltersainse <42>
It would take 15 minutes because 3 split by 4 is 0.75 which way it would certainly take 75% if a minute to gain to his friends house or 15 minutes.
5 0
1 year ago
Other questions:
×
Send
×
E-mail