Similar Triangles | Similarity Worksheets

Explore this multitude of similar triangles worksheets for high-school students; featuring exercises on identifying similar triangles, determining the scale factors of similar triangles, calculating side lengths of triangles, writing the similarity statements; finding similarity based on SSS, SAS and AA theorems, solving algebraic expressions to find the side length and comprehending similarity of right triangles and more.

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Check for Similar Triangles

Each worksheet of this compilation comprises eight triangle pairs with indicated side lengths. Determine whether the triangles are similar by checking if their corresponding sides are proportional and label them.

Scale Factor of Similar Triangles

Determine the scale factor by finding the corresponding sides and writing their ratio. Find the scale factor of the bigger to the smaller triangle or vice versa in Part A and in Part B find both the scale factors.

Find the Sides of the Triangles using the Scale Factor

Offered in this set of worksheets are the scale factors and side lengths of one of the similar triangles. Equate the ratio of the sides with the corresponding scale factors to determine the side lengths of the triangles.

Write the Similarity Statement | Level 1

Compare the similar triangles and complete the similarity statements, using the SSS criterion. Identify the proportional pairs of sides and rearrange the vertices based on the triangle given in the statement.

Write the Similarity Statement | Level 2

Bolster skills in writing the similarity statement with these printable worksheets. Figure out the proportional sides of the rotated similar triangles using the scale factor and name the triangles accordingly.

Similar Triangles | SSS, SAS and AA | Type 1

Observe the triangle pairs and based on the proportionality of their sides and congruence of their angles, identify the similarity postulates SSS, SAS, or AA and complete the similarity statements.

Similar Triangles | SSS, SAS and AA | Type 2

The triangles in this batch of worksheets are either overlapped or combined. Decompose the triangles and identify the similarity criterion to complete the similarity statement in this array of high school worksheets.

Similar Triangles | Find the side | Type 1

Form an equation using the SSS criterion. Equate the ratios of two proportional pairs of sides in Part A and three proportional pairs of sides in Part B to find the missing lengths and sum up the side lengths to find the perimeter in Part C.

Similar Triangles | Find the sides | Type 2

Level up with this bundle of worksheets featuring overlapping similar triangles. Analyze the flips and rotations, decompose the triangles and find their scale factor to figure out the indicated length(s).

Algebra in Similar Triangles | Solve for 'x' | Type 1

Each pair of triangles offered in this worksheet compilation is similar. Plug in the corresponding side length expressed as an algebraic expression in the similarity ratio and solve for 'x'.

Algebra in Similar Triangles | Solve for 'x' | Type 2

The similar triangles in this set of printable PDFs have common sides and vertices and involve side lengths presented as linear equations. Equate the ratios of the corresponding sides of the two triangles and simplify the equation to solve for 'x'.

Right Triangle Similarity

Conceptualize the right triangle similarity theorem with this collection of worksheets. Write the similarity ratio of the right triangles using the known values to find the indicated length(s).