Use the picture to answer the question. angle abc is rotated 50° around point d . what is the measure of angle a'b'c' ?

a. 90°

b. 130°

c. 40°

d. 50°

A. 90°

Step-by-step explanation:

From the given picture, we can see that the measure of ∠ABC=90°.

Given that Angle ABC is rotated 50° around point D .

We know that a rotation is a rigid transformation that produces an image of a geometric figure with same shape and size by rotating about the the center of rotation.

It preserves the shape and angle inside the figure.

Therefore, ∠A'B'C'=∠ABC=90°.

true? is that what you're asking or do you mean something else?

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.