Equations and Congruent Triangles

Which two triangles below are similar? Explain your reasoning.

• Triangle A and Triangle B; they have two pairs of congruent corresponding angles.

• Triangle A and Triangle C; they have two pairs of congruent corresponding angles.

• Triangle B and Triangle C; they have two pairs of congruent corresponding angles

If two angles and the included side of one triangle are congruent to the corresponding two angles and included side of another triangle, the triangles are congruent. Note that ASA ≅ is equivalent to ___ ≅.

• SSS

• SAS

• HL

• AAS

Two triangles are congruent if all three pairs of corresponding sides are congruent.

• HL

• ASA

• SSS

• SAS

If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, the two right triangles are congruent. Note that this congruence condition applies only to right triangles.

• HL

• SSS

• AAS

• SAS

Two shapes are _________ if there is a sequence of rigid transformations that carries one onto the other. The corresponding angles and sides of _________ polygons have equal measures. _________ shapes are similar and have a scale factor of 1. The symbol for __________ is ≅.

• acute angle

• congruent

• right angle

• obtuse angle

Solve for x.

• 16

• 11

• 50

• 6

Using the Triangle Inequality Theorem, determine if the measurements given form a triangle.

• Yes they form a Triangle (all equations are true/correct)

• No triangle is formed (at lease one equation is false/incorrect)

Using the Triangle Inequality Theorem, determine if the measurements given form a triangle.

• Yes they form a Triangle (all equations are true/correct)

• No triangle is formed (at lease one equation is false/incorrect)

What is the value of x?

• 37

• 72

• 108

• 18

Using the Triangle Inequality Theorem, determine if the measurements given form a triangle.

• Yes they form a Triangle (all equations are true/correct)

• No triangle is formed (at lease one equation is false/incorrect)