Similar Triangles Intro

What do congruent triangles have in common?

• Different shapes

• Different sizes

• Only the same angles

• The same size and shape

What must be true for two triangles to be similar?

• They must have the same size

• Their corresponding sides are not proportional

• Their corresponding sides are proportional

• They must have different shapes

What does it mean if two angles are congruent?

• They have the same measure

• They have different measures

• They are proportional

• One is larger than the other

How can you determine if two triangles are similar using angles?

• If they have three pairs of different angles

• If they have two pairs of congruent angles

• If all their angles are proportional

• If they have one pair of congruent angles

What is the ratio of corresponding sides in similar triangles?

• Different for each pair

• Equal

• Based on the triangle's color

• Random

What is the Side-Angle-Side (SAS) condition for triangle similarity?

• No sides are proportional and angles are not congruent

• Two pairs of corresponding sides are proportional and included angles are different

• Two pairs of corresponding sides are proportional and included angles are congruent

• All sides are proportional but angles are different

How can the concept of similar triangles be applied in real life?

• To cook a meal

• To paint triangles

• To measure the height of a building

• To write a book

What is necessary to solve for the missing sides of similar triangles?

• Guessing the lengths

• Using a calculator without setting up proportions

• Setting up and solving proportions

• Knowing the color of the triangles

What does it mean if the ratio of corresponding sides in two triangles is 2 to 1?

• The triangles are congruent

• The triangles are not similar

• One triangle is twice as large as the other

• The triangles have different shapes

How can similar triangles help in finding the height of a tree?

• By climbing the tree

• By measuring the shadow of the tree and using proportions

• By guessing the height

• By comparing it to a building