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aleksandr82 [10.1K]
3 years ago
13

Glven: ABCD is a parallelogram. Prove: AB - CD and BC – DA

Mathematics
2 answers:
coldgirl [10]3 years ago
7 0

Answer:

by \: rotation  :  \\ { \bf{AB + BC =  CD+ AD}}  \\ { \boxed{ \tt{AB - CD = BC - DA}}}

since: DA = -AD

Lena [83]3 years ago
3 0

Answer:

Here are all the answers (this took me awhile to figure out myself)

Step-by-step explanation:

Statement 1: ABCD is a parallelogram.

Reason 1: Given

Statement 2: draw AC.

Reason 2:  Unique line postulate.

Statement 3: BCA & DAC are alt. interior angles.

Reason 3: def. of alt. interior angles.

Statement 4: DCA & BAC are alt. interior angles.

Reason 4: def. of alt. interior angles.

Statement 5: AB || CD

Reason 5: def. of parallelogram

Statement 6: BC || DA

Reason 6: def. of parallelogram

Statement 7: <BCA = <DAC

Reason 7: alternative interior angle theorem

Statement 8: <DCA = <BAC

Reason 8: alternative interior angle theorem

Statement 9: AC = AC

Reason 9: reflexive property

Statement 10: ABC = CDA

Reason 10: ASA

Statement 11: AB = CD

Reason 11: CPCTC

Statement 12: BC = DA

Reason 12: CPCTC

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uysha [10]

Answer:

Option 2) 82°

Step-by-step explanation:

The dilation means the enlargement of the figure or reduction in the size of the figure.

If the scale factor is greater than 1, its an enlargement

If the scale factor is smaller than 1, it is a reduction.

But what ever be the case,

the triangles always remain similar.

Hence the size of the sides changes,

But the size of the angles always remains the same.

Now the largest angle of triangle ABC is 82°.

Hence the largest angle of the triangle DEF shall be 82°.

Second option 82° is the right answer.

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Answer:

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Step-by-step explanation:

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The exponential amount of decay for an amount of a substance after t days is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount, and r is the decay rate, as a decimal.

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A(t) = A(0)(1-r)^t

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Answer:

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