Similar and Congruent Triangles

Similar Shapes

Objects that have the same shape, but do not necessarily have the same size.

You can r__________, r_____________, t______________, or r________ a shape in order to see if it is similar.

Rotate, reflect, translate, resize.

Polygons are similar if all their angles are c___________ (equal in measure), and the corresponding sides are in the same r_______.

Congruent, ratio.

Tests for Similar Triangles:

AAA, SAS, SSS

Setting out proofs for similar triangles:

1) Find three facts about the pair of triangles.
2) Give a reason after each fact in brackets.
3) State which of the three tests was used to prove similarity.

Congruent shapes

Objects that have the same shape and size.

You can r__________, r_____________, or t______________ a shape in order to see if it is similar.

Rotate, reflect, translate.

Polygons are congruent if all of their a________ and their c______________ sides are c____________ (equal in measure).

Angles, corresponding, congruent.

Two triangles are congruent if they have:

1) Exactly the same three sides.
2) Exactly the same three angles.

Tests for congruent triangles:

SSS, SAS, ASA, RHS

Even if all three angles of a triangle are e_______ to corresponding three angles in another triangle, the triangles may n___ be c__________.

Equal, not, congruent.

Setting out proofs for congruent triangles:

1) Find three facts about the pair of triangles.
2) Give a reason after each fact in brackets.
3) State which of the four tests was used to prove similarity.