A sapling grew 8 1/2 inches one year 10 3/4 inches the second year and 9 3/4 inches the third year how much did it grow during t
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Ada is <u>incorrect</u>, as the length of diagonal SQ is not two times the length of diagonal OM. The theorem used is the Pythagoras Theorem.
For Rectangle PQRS:-
By Pythagoras Theorem, in right triangle PQS,
SQ² = PQ² + PS²,
or, SQ² = 8² + 16² sq. inches,
or, SQ² = 64 + 256 sq. inches,
or, SQ = √320 sq. inches,
or, SQ = 8√5 inches.
Thus, the length of diagonal SQ, of rectangle PQRS is 8√5 inches.
For Square LMNO:-
By Pythagoras Theorem, in right triangle LMO,
OM² = LM² + LO²,
or, OM² = 8² + 8² sq. inches,
or, OM² = 64 + 64 sq. inches,
or, OM = √128 sq. inches,
or, OM = 8√2 inches.
Thus, the length of diagonal OM, of square LMNO is 8√2 inches.
We know that 2*OM ≠ SQ, as 2*8√2 ≈ 8√5.
Thus, Ada is <u>incorrect</u>, as the length of diagonal SQ is not two times the length of diagonal OM. The theorem used is the Pythagoras Theorem.
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Answer:
Step-by-step explanation:
A kite is a quadrilateral made up of two isosceles triangles. A kite does not have any parallel side, but has two pairs of equal adjacent sides. All four sides are not congruent, only two pairs of consecutive sides are congruent.
The vertices of a kite are right angles. The diagonals bisect each other at right angles ( that is they are perpendicular). Therefore the following are true:
1) two pairs of consecutive sides are congruent
2) The diagonals are perpendicular
3) The diagonals bisect each other.
Point A= (3,6), B = (5,0), C= (-2,-4) D = (-3,4)
AB=AD, BC = BC.
This is a kite since two pairs of consecutive sides are congruent