The proves that ∆abc and ∆efg are congruent by the sas criterion.
a. angle a is congruent to angle e
b. b is congruent to angle f
c. ab=ef
d. angle c is congruent to angle g
if ab ≠ ef, criterion for congruency is violated
a. ssa
b. asa
c. sss
d. sas
in this situation, angle c g.
a. may be congruent to
b. is congruent to
c. cannot be congruent to

The condition  angle A is congruent to angle E proves that ∆ABC and ∆EFG are congruent by the SAS criterion.

If AB ≠ EF, the  SSA criterion for congruency is violated.

In this situation, angle C  cannot be congruent to angle G.

Step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions