1. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that δABD ≌ ΔBAC.

Step-by-step explanation:

ABCD is a quadrilateral triangle,where AD=BC and <DAB =<CBA.

In ∆ABD and ∆BAC

•AD=BC. (given)

•<DAB=<CBA (given)

•AB=BA. (common side)

Therefore, ∆ABD ≌ ΔBAC. {SAS congruence rule}

Given:

The given equation is

To find:

Whether the given equation is in the slope intercept form or not, then find the slope and y-intercept.

Solution:

Slope intercept form of a linear function is

           ...(i)

Where, m is the slope and b is the y-intercept.

We have,

It can be written as

              ...(ii)

On comparing (i) and (ii), we get

Therefore, the given equations is in slope intercept form. The slope of the line is 3 and the y-intercept is 0.