Answer:
Option A and Option C
Step-by-step explanation:
Option A: This is completely factored as 8 is the Highest Common Monomial factor
Option B: This is not completely factored as 2 is still a common factor of 6y2 and -2.
Option C: This is completely factored as 4y2 is the Highest Common Monomial factor
Option D: This is not completely factored as 2y is still a common factor of 4y6 and 2y.
So the options that are completely factored are Option A and Option C
Answer:
Correct option is
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
Step-by-step explanation:
Here, we are given the line RQ, which is divided in two equal parts by a line PS which is perpendicular to RQ.
The foot S of PS is on the line RQ.
First of all, let us do a construction here.
Join the point R with P and P with Q.
Please refer to the attached image.
Now, let us consider the triangles PQS and PRS:
Now, Two sides and the angle included between the two triangles are equal.
So by SAS congruence we can say that
Therefore, the corresponding sides will also be equal.
RP = QP
RP is the distance between R and P.
QP is the distance between Q and P.
Hence, to prove that P is equidistant from R and Q, we have proved that:
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
