Similar Triangles Review

Similar Triangles Review

This Quizizz Lesson will take you through the Unit 7 Test Review

Unit 7

• Ratios and Proportions

• Similar Polygons

• Proving Triangles Similar

• Proportional Parts

Ratios and Proportions

• Numbers are in ratio if they have a common factor.

• Proportions are ratios that are equal

Fill in the Blanks

The three angles of a triangle are in ratio of 3:4:8. What is the equation that you could solve to find the measure of each angle? Please type the equation without using spaces.

Multiple Choice

The measure of the three angles of a triangle are in ratio of 3:4:8. What is the measure of the shortest side?

• 36

• 48

• 96

• 144

Similar Polygons

• Similar Polygons have proportional sides

• The scale factor can be found be finding the ratio of a pair of corresponding sides.

• Here, the scale factor is 1/10 because quad ABCD is 1/10 of quad WXYZ.

Proving Triangles Similar

• Two triangles are similar if:

• There are two pairs of congruent angles (AA)

• There is one pair of congruent angles and the sides of the angles are proportional (SAS)

• All corresponding sides are proportional (SSS)

Multiple Choice

What postulate/theorem would you use to verify that the two triangles are similar?

• SSS Similarity Postulate

• AA Similarity Theorem

• SAS Similarity Theorem

Fill in the Blanks

What does x need to equal to ensure that the two triangles are similar?

Proportional Parts

• When triangles are similar all two-dimensional lengths are proportional

• Medians, Altitudes, Angle Bisectors, Perimeter

• If parallel lines are intersected by two different transversals the sections of the transversals are proportional.

Multiple Choice

Find x in the similar triangles.

• 9

• 28/3

• 29/3

• 10

Multiple Choice

Find x in the figure.

• 1

• 2

• 3

• 4

Multiple Choice

What is the perimeter of triangle PQM?

• 4

• 10

• 11

• 27.5

Multiple Select

What parts are proportional in similar polygons?

• Sides

• Angle Bisectors

• Medians

• Perimeters

• Altitudes

Multiple Choice

What is the perimeter of triangle ABC?

• 13.5 in

• 27 in

• 54 in

• 71 in

Thanks a lot! See you next time!