Congruent Figures and Triangle Congruence Theorems

What does it mean for two triangles to be congruent?

• They have equal side lengths only

• They have equal angle measures only

• They have equal side lengths AND equal angle measures

• They have equal areas only

A congruence statement tells you which angles and sides are congruent, even if there is no image shown.

• True

• False

Fill in the blank: The five theorems for proving triangle congruence are SSS, SAS, ASA, AAS, and ____.

• HL

• SSA

• AAA

• SAA

For the SAS Theorem, the congruent angle must be the ______ angle.

• included

• opposite

• adjacent

• vertical

For the ASA Theorem, the congruent side must be the ______ side.

• included

• opposite

• adjacent

• exterior

Triangles that share a side are congruent by which property?

• Reflexive property

• Transitive property

• Symmetric property

• Distributive property

Triangles that have intersecting lines have congruent angles because they are ______ angles.

• vertical

• adjacent

• corresponding

• alternate

What is the only transformation that produces similar figures instead of congruent figures?

• Dilation

• Translation

• Reflection

• Rotation

Right ΔPQR is dilated to produce ΔP'Q'R'. The scale factor of the dilation is ___.

• 3

• 2

• 4

• 5

What evidence can we provide that these corresponding angles have the same measure?

• They are all congruent (all 90°)

• They are all supplementary (add up to 180°)

• They are all right angles (all 45°)

• They are all obtuse angles (greater than 90°)