Geometry Triangle

T is the Incenter of ΔPQR. Find ST.

• 15

• 13

• 26

• 30

Using the Triangle Inequality Theorem, find the inequality that represents the possible side lengths of the given triangle.

(Note: The triangle is not necessarily drawn to scale)

Determine if the triangle △ABD and △CBD are congruent in the given figure. If they are congruent, what triangle congruence property can be used to prove they are congruent?

• Yes, they are congruent by Angle-Side-Angle

• No, the triangles are not congruent.

• Yes, they are congruent by Side-Angle-Side

• Yes, they are congruent by Angle-Angle-Angle

If △ABE≅△DCE, then which angle is congruent to ∠ABE?

Determine if the given triangles can be proven congruent. If they can, state the name of the postulate or theorem that can be used to prove them congruent.

• No, there is not enough information to prove the triangles are congruent.

• Yes, SAS congruence postulate

• Yes, ASA congruence postulate

• Yes, HL congruence theorem

Are the two triangles shown congruent? (Note: Angles are in terms of degrees, and the figure is not necessarily drawn to scale)

• No, they are not congruent

• Yes, they are congruent

• Maybe, but there is not enough information to determine

Find m∠C in the given figure.

Which of the following inequalities can be used to prove using the "triangle inequality theorem" that a triangle with sides of lengths 13, 30, and 14 cannot be made?

• 14+30+13>0

• 13+30>14

• 13+14<30

• 14+30>13

Which of the following acronyms is not a triangle congruence postulate or theorem?

• HL (Hypotenuse-Leg)

• ASA (Angle-Side-Angle)

• SSS (Side-Side-Side)

• SSA (Side-Side-Angle)

Using the Triangle Inequality Theorem, which set of side lengths below could not be used to make a triangle?

• {1.5 m, 2 m, 3 m}

• {20, 60, 70}

• {200 ft, 150 ft, 51 ft} 

• {120 cm, 60 cm, 50 cm}