Enhance Your Learning with Math Triangle Flash Cards for quick learning
A polygon with three sides and three angles.
A triangle with all three sides of equal length and all three angles measuring 60 degrees.
A triangle with at least two sides of equal length and the corresponding angles opposite those sides are congruent.
A triangle with no sides of equal length.
A triangle with one angle measuring 90 degrees.
A triangle with all three angles measuring less than 90 degrees.
A triangle with one angle measuring greater than 90 degrees.
Triangles that have the same size and shape.
The Side-Side-Side congruence postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
The Side-Angle-Side congruence postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
The Angle-Side-Angle congruence postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
The Angle-Angle-Side congruence postulate states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.
The Hypotenuse-Leg congruence postulate states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and the corresponding leg of another right triangle, then the triangles are congruent.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
The measure of the region enclosed by the three sides of a triangle.
A formula for finding the area of a triangle given the lengths of its three sides.
The sum of the lengths of the three sides of a triangle.
Triangles that have the same shape but not necessarily the same size.
The Angle-Angle similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
The Side-Angle-Side similarity postulate states that if the ratio of the lengths of two sides of one triangle is equal to the ratio of the lengths of the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.
The Side-Side-Side similarity postulate states that if the ratio of the lengths of the corresponding sides of two triangles is equal, then the triangles are similar.
The branch of mathematics that deals with the relationships between the angles and sides of triangles.
In a right triangle, the sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In a right triangle, the cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
In a right triangle, the tangent of an angle is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
A special right triangle with angles measuring 30 degrees, 60 degrees, and 90 degrees, and side lengths in a ratio of 1:√3:2.
A special right triangle with angles measuring 45 degrees, 45 degrees, and 90 degrees, and side lengths in a ratio of 1:1:√2.
The point of concurrency of the medians of a triangle, which is also the center of mass of a triangle.
The point of concurrency of the perpendicular bisectors of the sides of a triangle, which is equidistant from the three vertices of the triangle.
The point of concurrency of the angle bisectors of the angles of a triangle, which is equidistant from the three sides of the triangle.
The point of concurrency of the altitudes of a triangle, which is the intersection of the lines containing the heights of the triangle.
A line that passes through the centroid, circumcenter, and orthocenter of a triangle.
Segments that connect each vertex of a triangle to the midpoint of the opposite side.
Segments that extend from each vertex of a triangle perpendicular to the opposite side.
Lines or segments that intersect a side of a triangle at a right angle and pass through the midpoint of that side.
Lines or segments that divide an angle of a triangle into two congruent angles.
The process of creating a triangle given certain conditions, such as side lengths, angle measures, or congruent segments.
A method of proving theorems or properties of triangles using logical reasoning and previously proven statements.
Transformations that preserve angles and ratios of lengths, such as dilations, translations, rotations, and reflections.
Real-world scenarios or problems that involve the use of triangle properties and concepts, such as finding heights, distances, or angles.