NAME_____________________________________DATE_______________________
GEOMETRY
MRS. BINASO
SPECIAL KINDS OF TRIANGLES
In numbers 1-4, indicate whether the statement is true or false.
1. A triangle can have more than one right angle.
2. An equilateral triangle is equiangular.
3. In a right triangle, the side opposite the right angle is the shortest leg of the triangle.
4. An obtuse triangle has exactly one angle between 90˚ and 180˚.
5. The measure of the vertex angle of an isosceles triangle is 50˚. Find the measure of
one of the base angles of the triangle.
6. The measure of each base angle of an isosceles triangle is 20˚. Find the number of
degrees in the measure of the vertex angle.
7. Two angles of a right triangle are congruent. What is the number of degrees in the
measure of each of these angles?
8. In an equilateral triangle, what is the degree measure of any one of its exterior angles?
9. In the accompanying diagram, triangle GHI is isosceles with side HI as the base. If
m<H = 30, find m<G.
G
I
H
10. The lengths of the legs of an isosceles triangle are 2x – 10 and x + 4. What are the
Lengths of the legs of the triangle?
11. The lengths of the sides of an equilateral triangle are 3x + 1, 5x – 9, and 2y + 2.
a. What are the lengths of the sides of the triangle?
b. What is the value of y?
12. Triangle ABC is an isosceles triangle and m<A is the vertex angle. If m<A = 4x – 4,
m<B = 6x + 4, and m<C = 8x – 18, find the measure of each angle.