When considering similar triangles, we need congruent angles and proportional sides.
Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.
"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.
"Angle C=C', angle B=B', and segments BC and B'C' are congruent." would prove ABC is congruent to A'B'C' if and only if AB is congruent to A'B' (not just proportional).
"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.
To conclude, the first option is sufficient to prove similarity (AAA)
Which of the sets of ordered pairs represents a function? A = {(1, -2), (3, -5), (5, 2), (7,5)} B = {(4, 2), (4, -2), (9,3), (9,
Rufina [12.5K]
Answer: only A
all of A’s inputs are different but B’s repeats 4 and 9 making it not a function, so its only A
Answer:
32 nd term
Step-by-step explanation:
The formula for the sequence is
n² + 1 ( that is 1 added to each square number )
Equate to 1025 and solve for n
n² + 1 = 1025 ( subtract 1 from each side )
n² = 1024 ( take the square root of both sides )
n = 
= 32
Answer:
x = 20
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
9x = 180 ( divide both sides by 9 )
x = 20
