What id actually says is... What fits in the blank? Diagonal AC of Parallelogram ABCD _____ bisects angle A and angle C.
If the quadrilateral is a square then all of its sides are the same length. ac is not one of the sides but is a diagonal which forms the hypotenuse of a right angle triangle with sides ab and bc. According to Pythagoras the sum of the square of the hypotenuse is equal to the sum of the squares of the other two sides. As side ab measures 10 then 10 squared = 100. Side bc has the same measurements. The square of side ac must equal 200 (100 + 100) so the length of side ac must equal the square root of 200 (100 + 100) which is 14.14 (to 2 decimal places).
this is what you would: 4x+6=3x-1 -6 -6 ---- 4x=3x-7 -3x -3x ---- 1x=-7 ---- x=-7
The sides are all 10. The vertex is a right angle. This makes the diagonal formed by ac the hypotenuse of a right triangle with sides 10 and 10. 10^2+10^2=ac^2 100+100=ac^2 200=ac^2 10* sqr 2=ac approximately 14.1421....=ac
segment ac
never
In parallelogram ABCD, AC=BD. Is ABCD a rectangle?
Yes, it is.
What id actually says is... What fits in the blank? Diagonal AC of Parallelogram ABCD _____ bisects angle A and angle C.
They bisect one another.
A quadrilateral is a parallelogram if one pair of opposite sides are equal and parallel Let ABCD be a quadrilateral in which ABCD and AB=CD, where means parallel to. Construct line AC and create triangles ABC and ADC. Now, in triangles ABC and ADC, AB=CD (given) AC = AC (common side) Angle BAC=Angle ACD (corresponding parts of corresponding triangles or CPCTC) Triangle ABC is congruent to triangle CDA by Side Angle Side Angle BCA =Angle DAC by CPCTC And since these are alternate angles, ADBC. Thus in the quadrilateral ABCD, ABCD and ADBC. We conclude ABCD is a parallelogram. var content_characters_counter = '1032';
If abcd is a parallelogram, then the lengths ab and ad are sufficient. The perimeter is 36 units.
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38.5 Square units
The diagonals arenotthe sides. They're lines you draw from one angle of the parallelogram to the angle opposite it. So if you have parallelogram ABCD, your diagonals are AC and BD, because AB, BC, CD, and DA are all sides.
31.5 square units
31.5 Square Units