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

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

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!