Mathematics, 23.06.2019 11:00 muziqbox594

Asap! prove the diagonals of the rhombus abcd bisect each other? ?

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Answer from: o11011195

The diagonals of the rhombus ABCD bisect each other

Step-by-step explanation:

Given: ABCD is a rhombus and AC and BD are diagonals. All sides of the rhombus are equal.

To prove: AC and BD bisects each other.

Let O is the intersection point diagonals.

In triangle ABC, ABD, BCD and ADC are isosceles triangles.

In triangle AOB and COD,

$\angle DBA=\angle BDC$

$\angle COD=\angle AOB$ (Vertically opposite angle)

AB=DC (opposite side of rhombus)

By AAS postulate,

$\triangle COD\cong \triangle AOB$

AO=OC (CPCTC)

O is the midpoint of segment AC. Segment BD bisects segment AC.

In triangle AOD and COB,

$\angle BDA=\angle DBC$

$\angle COB=\angle AOD$ (Vertically opposite angle)

AD=BC (opposite side of rhombus)

By AAS postulate,

$\triangle AOD\cong \triangle COB$

BO=OD (CPCTC)

Segment BO is congruent to segment OD.

O is the midpoint of segment BD. Segment AC bisects segment BD.

Hence proved.

Asap! prove the diagonals of the rhombus abcd bisect each other? ?

Answer from: Quest

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.

Answer from: Quest

Figure it out your self

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