Triangle Classification Theorems Answers

The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?

Consider the diagram.

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, negative 1), (2, negative 1), and (negative 1, negative 5). Triangle R S T has points (1, 1), (1, 5), and (4, 1).

The proof that ΔRST ≅ ΔVST is shown.Given: ST is the perpendicular bisector of RV.Prove: ΔRST ≅ ΔVST

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

Triangles W X Z and Y Z X share common side X Z. Angles W X Z and X Z Y are right angles. The lengths of sides W X and Z Y are 21 centimeters.

An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s?

Which pair of triangles can be proven congruent by SAS?

Which diagram shows possible angle measures of a triangle?

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Triangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1).

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.

Triangles A B C and A B F are congruent. Triangle A B C is reflected across line B A to form triangle A B F.

In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?

Which congruence theorem can be used to prove △BDA ≅ △DBC?

Triangles A B C and D E F are shown. Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.