Similar triangles find the missing length Worksheet

Explore this multitude of printable similar triangles worksheets for grade 8 and 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. Make headway with our free similar triangles worksheets!

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Similar triangles find the missing length Worksheet

Check for Similar Triangles

Each 8th grade 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.

Similar triangles find the missing length Worksheet

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.

Similar triangles find the missing length Worksheet

Find the Sides of the Triangles using the Scale Factor

Offered in this set of pdf 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.

Similar triangles find the missing length Worksheet

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.

Similar triangles find the missing length Worksheet

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 find the missing length Worksheet

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 find the missing length Worksheet

Similar Triangles | SSS, SAS and AA | Type 2

The triangles in this batch of similarity 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 missing length Worksheet

Similar Triangles | Find the Sides | 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 missing length Worksheet

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).

Similar triangles find the missing length Worksheet

Similar triangles find the missing length Worksheet

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'.

Similar triangles find the missing length Worksheet

Right Triangle Similarity

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

What is the formula for similar triangles?

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar. Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.

How do you find the area of similar triangles?

The ratio of the area of two similar triangles is equal to the square of the ratio of any pair of the corresponding sides of the similar triangles. For example, for any two similar triangles ΔABC and ΔDEF, Area of ΔABC/Area of ΔDEF = (AB)2/(DE)2 = (BC)2/(EF)2 = (AC)2(DF)2.