By which reason can it be proven that triangles dab and dac are congruent

ASA

Step-by-step explanation:

You are given 2 equal sets of angles.

<ABD and <ACD    (right angles)

<BAD and <CDA    (bisected angle)

You can get <ADB = <ADC because every triangle has 180 degrees. You know two of the angles: you can show that  the 3 rd set are equal a subtraction postulate.

AD = AD              (Reflexive property)

The triangles are congruent by ASA

If AAS is acceptable then it is correct in this case.

AD = AD

The two right angles are equal

The two angles created by the angle bisector are equal.

These three facts give AAS, but please see my comment below.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

51-50

step-by-step explanation: