Lesson Worksheet: Similarity of Triangles Mathematics • 8th Grade

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In this worksheet, we will practice determining and proving whether two triangles are similar using equality of corresponding angles or proportionality of corresponding sides and practice using similarity to find unknown lengths and angles.

Q1:

Is triangle similar to triangle ?

ANo
BYes

Q2:

Which of the following triangles is similar to the one seen in the given figure?

Q3:

Given that and are parallel, are triangles and similar? If yes, why?

ANo
BYes, as the side lengths are equal.
CYes, as all the corresponding angles in each triangle have equal measures.

Q4:

Are the two triangles in the figure similar?

ANo
BYes

Q5:

Triangles and in the given figure are similar. What, if anything, must be true of the lines and ?

AThey are parallel.
BThey are perpendicular.

Q6:

Which two of these triangles are similar?

Q7:

Given that , what is ?

Q8:

Determine the length of .

Q9:

is a rectangle in which , , and . Calculate the perimeter of .

Q10:

Find the length of rounded to the nearest hundredth, if needed.

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