Triangles in the Coordinate Plane

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What are the types of triangles based on sides?

Back

1. Equilateral: All sides are equal. 2. Isosceles: Two sides are equal. 3. Scalene: All sides are different.

Front

What are the types of triangles based on angles?

Back

1. Acute: All angles are less than 90 degrees. 2. Right: One angle is exactly 90 degrees. 3. Obtuse: One angle is greater than 90 degrees.

Front

How do you calculate the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides.

Front

What is the distance formula in the coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is given by: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you classify a triangle given its vertices?

Back

Calculate the lengths of all three sides using the distance formula, then classify based on the lengths.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the significance of the vertices in a triangle?

Back

Vertices are the points where the sides of the triangle meet, and they are crucial for defining the triangle's shape and position.

Front

How can you determine if a triangle is isosceles using coordinates?

Back

If two sides have equal lengths calculated using the distance formula, the triangle is isosceles.

Front

What is the relationship between the angles and sides in a triangle?

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.