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
.The slope of the line is not equal to a b or c d .
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1 answer

The triangles are congruent (True)
The triangles are similar (True)
The triangles are proportional (True)
Both are right triangles (False) - this statement is false because there is no information provided about the angles of the triangles, so we cannot determine if they are right triangles or not.

Any two points on the line will have the same slope (True)
The slope of the line is equivalent to cd (False) - the slope of the line is given by the difference in y-coordinates divided by the difference in x-coordinates, not cd.
The slope of the line is equivalent to ab (True)
The slope of the line is not equal to ab or cd (True) - the slope of the line is not equal to either ab or cd because those are the lengths of the line segments, not the slope.