Proof - Congruent Triangles

Question 1

What does congruent mean

Answer 1

They are the same

Question 2

Rule 1 (side side side) (sss)

Answer 2

If all lengths (even on different sides) are the same the triangle is congruent

The hypotenuse will be the same value.

Question 3

Rule 2 (side angles side) (SAS)

Answer 3

If the angle is between two sides and all if the values (both sides and angle) are equal the triangle is congruent.

Question 4

Rule 3 (Angle side angle) (ASA)

Answer 4

If the side length between two angles is the same (and the angles are the same) the triangle is congruent

Question 5

Rule 4 (RIght angle Hypotenuse Side) (RHS)

Answer 5

The hypotheses are both equal and side opposite the hypotenuse is equal - then the triangles are congruent

Question 6

Rule 5 (Angle angle side) (AAS)

Answer 6

If two angles then a side are equal in both triangles they are congruent

Question 7

What is the difference between congruency and similarity

Answer 7

Similar triangles are the same shape, but different sizes
(They will have the same angles)

Congruent shapes are the same shape and size (equal copies)

Question 8

How do you prove triangle similarity

Answer 8

Find at least two equal angles

If two are equal the third will be equal