Similar Triangles and Slope

Question 1
Which statement is FALSE about the triangles shown on the graph?
Responses
A The triangles are congruent.The triangles are congruent.
B The triangles are similar.The triangles are similar.
C The triangles are proportional.The triangles are proportional.
D Both are right triangles.Both are right triangles.
Question 2
Which choice is FALSE about the slope of the line shown on the graph?
Responses
A Any two points on the line will have the same slope.Any two points on the line will have the same slope.
B The slope of the line is equivalent to cd
.The slope of the line is equivalent to c d .
C The slope of the line is equivalent to ab
.The slope of the line is equivalent to a b .
D The slope of the line is not equal to ab
or cd
.

1 answer

C The triangles are proportional.The triangles are proportional. (FALSE statement)

The correct statement is that the triangles are similar (not proportional). Proportional triangles have corresponding sides that are in the same ratio, while similar triangles have corresponding angles that are congruent and corresponding sides that are in proportion.
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