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tankabanditka [31]
3 years ago
12

Start with the following statement: Vertical angles are congruent. a.State the conditional and three other forms of the statemen

t. b.If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? Use at least one truth table and at least one property to support your reasoning.
Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0
There are three kinds of statement that we could construct base on the given where as Vertical angels are congruent. First is converse: If angle 1 is 90 degree then angle 2 is 90. Second is Inverse: If angle 2 is not 90 then angle 1 is not. Third is Contrapositive: If angle 2 is not 90 then angle 1 is not 90 also.
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cricket20 [7]

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4 0
4 years ago
Based on the information marked in the diagram, ABC and DEF must be congruent.
drek231 [11]

Answer:

Option A is correct

True, ΔABC and ΔDEF must be congruent.

Explanation:

LA theorem or Postulates states that given two right triangles,  where one acute angle and a leg of one of the triangles are congruent to  an angle and a leg of the other triangle, then the two triangles are congruent.

In  ΔABC and ΔDEF

AB = DE              [Leg]                [Given in the figure]

\angle BAC = \angle EDF = 90^{\circ}     [Given]

\angle BCA = \angle EFD   [Acute angle]        [Given in the figure]

Then, by the LA theorem or Postulates;

therefore, ΔABC \cong ΔDEF .





3 0
4 years ago
Read 2 more answers
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rodikova [14]

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Step-by-step explanation:

I don't see any options here so let's work it out.

If all prices are reduced by 20%,it implies that 80% of the original value is charged to the buyer as sales price.

Since original value of the pants is $24-100%

then sales value(80%)=(80%/100%×$24)

5 0
3 years ago
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