Distance from J to F = b
D from F to K = a
a^2+b^2=JK^2
D from K to G = a
D from G to L = b
a^2+b^2=KL^2
D from L to H = b
D from H to M = a
a^2+b^2=LM^2
D from M to E = a
D from E to J = b
a^2+b^2=MJ^2
For each side, I used the Pythagorean theorem (a^2+b^2=c^2) to find the length. Since every side of the quadrilateral squared (aka to the power of two) equals a^2+b^2, every side squared equals each other. So JK^2=KL^2=LM^2=MJ^2. If you take the square root of each side of the equal signs, you’re left with JK=KL=LM=MJ. In order for a quadrilateral to be a rhombus, each side must be equivalent. Each side in this quadrilateral is equivalent, therefore it is a rhombus.
Answer:
Segment bisector = KL
IJ = 11⅓
Step-by-step explanation:
Segment KL cuts segment IJ into two equal parts. Therefore the segment bisector of IJ is said to be segment KL.
Length of IJ:
From the figure given, the bisector divided the IJ into two equal parts. 1 part is given as 5⅔, therefore, the 2 parts joined together will give us lenght of IJ.
Thus, IJ = 2*5⅔ = 2 * 17/3 = 34/3 = 11⅓
Segment bisector = KL
IJ = 11⅓
First attatchment:
1. Given
2. Definition of a parrallelogram
3. Transitive
4. Parts of line FE and AB
5. Opposite sides of a parallelogram are parallel.
You want to switch those last two because you're using what you want to prove to prove something before you've proved it, which is fallacious.
SECOND ATTATCHMENT:
In a parallelogram, opposite angles are equal and same side interior angles add up to 180.We have 2x+60+x+30=180 which means 3x+90=180 so x=30.Since x is 30 then angle to is 60 which means that angle A is 60, not 30.
THIRD ATTATCHMENT:
This is just the triangle midpoint theorem. SM is parallel to RU not VS.
FOURTH ATTATCHMENT:
Angle X and angle F are corresponding angles, so they are actually equal. You want Angle G and Angle F becuase they are same side interior angles.
FIFTH ATTATCHMENT:
this is correct
The corner of a square will be a great example.
John
You went to the store to buy a gift for your friend. Jeans are 20 dollars (what a deal) so you buy one for yourself and your friend. Then you see this really cute top and you want to match with your friend, so you get two of those too.
The total on the bill is $110.
While walking to your car, you lose the receipt.
When you give your friend the gift, she is excited. But says you spent too much money on her! She wants to pay you back for the shirt, but you can't remember how much it cost
