Construct the appropriate number sets with the given information. use the sets to match the following:

given

a = ∅
b = b
c = then a ∪ b = b
d = a
e = then a ∩ b = b

1. if a b

2. if b a

3. a ∪ ∅

4. a ∩ ∅

5. b ∪ ∅

If

1-c

2.If

2-e

3-d

4-a

5-b

Step-by-step explanation:

We are given that some information

We have to construct appropriate number sets with given information and match the given following using these information

a.A=

b.B=

c=then

d=A

.e= then

1.If then

Hence , 1-c

2.If then

Hence, 2-e

3.

Hence. 3-d

4.

Hence,4-a

5.

Hence, 5-b

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.