Is mnl ≅ qnl? why or why not?
a. yes, they are congruent by either asa or aas.
b. yes, they are both right triangles.
c. no, m is not congruent to nlq.
d. no, there are no congruent sides.

The Angle Angle Side postulate (AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

The Angle Side Angle (ASA) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Consider two right triangles MNL and QNL. Note that

1. In triangle MNL, m∠NLM=90°-m∠LMN=90°-58°=32°.

2. In triangle QNL, m∠NQL=90°-m∠QLN=90°-32°=58°.

In these triangles:

Then triangles MNL and QNL are congruent by ASA (1, 3 and 4 conditions) or by AAS (2, 3 and 4 conditions).

correct choice is A

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.