Triangle Classifications
What is the definition of an acute triangle?
a triangle with 3 acute angles
What are vertical angles?
Two angles that are created by the intersection of two lines. These angles are congruent.
Look at picture 1:
What is the value of x?
128 degrees
What kind of triangle has the following ANGLE measurements?
30, 62, 88
acute triangle
What is the definition of an obtuse triangle?
A triangle with 1 obtuse angle
What are adjacent angles?
Two angles that share a ray and have the same vertex
Look at picture 2:
What is the value of x?
50 degrees
What kind of triangle has the following SIDE measurements?
35 km, 35 km, 60 km
isosceles triangle
What is the definition of an equilateral triangle?
A triangle with 3 equal sides
What are supplementary angles?
two angles that have a sum of 180 degrees
Look at picture 3:
What is the value of x?
10 degrees
Can a triangle have side lengths of 15 ft, 21 ft, and 8 ft?
Yes
What are the characteristics of an obtuse scalene triangle?
A triangle with 1 obtuse angle and no congruent sides
What are complementary angles?
Two angles that have a sum of 90 degrees
Look at picture 4:
What is the value of x?
7 degrees
Two sides of a triangle are 17 cm and 9 cm. Write a compound inequality to show the range of possible side lengths of the third side.
8<x<26
What are the characteristics of a right isosceles triangle?
A triangle with 1 right angle and two congruent sides
What are alternate exterior angles?
Angles formed by two parallel lines cut by a transversal. These angles are on opposite sides of the transversal, and outside of the parallel lines.
Look at picture 5:
What is the value of x?
19 degrees
What is the term used to describe a pair of angles that are on the same side of the transversal and in the same position?
corresponding angles