7.03 Proving triangles similar

Adaptive

Worksheet

Interactive practice questions

Consider the triangles below.

Which two of these triangles are similar?

Give a suitable reason for your choice.

All corresponding sides are congruent.

All corresponding angles are congruent.

All sides are in the same ratio.

Easy

1min

Consider the triangles below.

Easy

< 1min

The pair of triangles in the diagram already have one pair of angles identified as being equal.

Easy

< 1min

Consider the diagram below.

Easy

< 1min

Prove triangle congruence or similarity using Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, Angle-Angle and Hypotenuse-Leg.

Justify the criteria for triangle similarity using the definition of similarity in terms of non-rigid transformations.

Construct proofs, including proofs by contradiction.

Judge the validity of arguments and give counterexamples to disprove statements.