Exploring Similar Triangles and Proportions

What property do all corresponding angles of similar triangles possess?

• They are congruent

• They are supplementary

• They are complementary

• They are opposite

What does it mean if two triangles are similar?

• They have the same shape but not necessarily the same size

• They have both the same size and shape

• They have the same size but different shapes

• They are congruent

If two angles of one triangle are 40 degrees and 90 degrees, what is the measure of the third angle?

• 80 degrees

• 70 degrees

• 60 degrees

• 50 degrees

What is the measure of the third angle in a triangle if two angles measure 30 degrees and 70 degrees?

• 110 degrees

• 100 degrees

• 90 degrees

• 80 degrees

In similar triangles, if one angle is 52 degrees in both triangles, what does this indicate about those angles?

• They are obtuse angles

• They are right angles

• They are acute angles

• They are corresponding angles

If triangle ABC is similar to triangle DEF, which vertices correspond if A corresponds to D?

• A corresponds to F and C corresponds to E

• A corresponds to E and B corresponds to F

• B corresponds to F and C corresponds to E

• B corresponds to E and C corresponds to F

What is the ratio of the sides of the triangles with side lengths 6, 8, 10 and 9, 12, 15?

• 4:3

• 3:4

• 2:3

• 1:1

What is the ratio of the sides 3, 4, 5 to the sides 6, 8, 10?

• 3:2

• 1:1

• 2:1

• 1:2

How do you find a missing side length in similar triangles?

• Using Pythagorean theorem

• Using proportions

• Using trigonometric ratios

• Using angle bisector theorem

How do you solve for a missing length using proportions in similar triangles?

• Cross-multiplication

• Division only

• Multiplication only

• Addition and subtraction