Unit 4 Vocabulary

Acute Triangle

• A triangle with all three angles equal to less than 90°

• A line segment drawn from the midpoints of two sides of the triangle

• A line segment drawn from the midpoints of two sides of the triangle

• Corresponding side lengths form equivalent ratios

Tags

CCSS.4.G.A.2

Base angles of a triangle

• Angles that have one side in common with the base
• A triangle with 2 congruent sides. The angles opposite an isoscles triange are congruent
• Triangles whose corresponding side lengths and corresponding angle measures are equal
• A triangle with no congruent sides
• A triangle with no congruent sides

Tags

CCSS.HSG.CO.C.10

Equilateral Triangle

• A triangle with 3 congruent sides. All angles are congruent and are 60°
• A triangle with three congruent angles. All angles are 60° and all sides are congruent
• The study of plane and solid geometry based on definitions, undefined terms (point, line, plane) and the assumptions of mathematician Euclid
• Angle on the outside of a polygon formed by the side of a polygon and an extension of its adjacent side
• A triangle with one 90° angle

Tags

CCSS.4.G.A.2

Equiangular Triangle

• A triangle with three congruent angles. All angles are 60° and all sides are congruent
• A triangle with all three angles equal to less than 90°
• States that is three side of a triangle are congruent to the sides of another triangle, then the triangles are congruent
• Angle on the inside of a polygon formed by pairs of adjacent sides
• A triangle with one angle larger than 90°

Tags

CCSS.4.G.A.2

Exterior angle of a polygon

• Angle on the outside of a polygon formed by the side of a polygon and an extension of its adjacent side
• A triangle with no congruent sides
• States that if two side and the included angle of a triangle are congruent to two sides and the included angle of another triangle then the triangles are congruent
• A triangle with three congruent angles. All angles are 60° and all sides are congruent
• A triangle with three congruent angles. All angles are 60° and all sides are congruent

Tags

CCSS.8.G.A.5

Interior angle of a polygon

• Angle on the inside of a polygon formed by pairs of adjacent sides
• A triangle with one 90° angle
• States that if two angles and the non-included side of a triangle are congruent to two angles and the non-included side of another triangle, then the two triangle are congruent
• A triangle with one angle larger than 90°
• Corresponding side lengths form equivalent ratios

Tags

CCSS.8.G.A.5

Isosceles Triangle

• A triangle with 2 congruent sides. The angles opposite an isoscles triange are congruent
• A triangle with one angle larger than 90°
• States that if two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the two triangle are congruent
• A triangle with one 90° angle
• Angle on the outside of a polygon formed by the side of a polygon and an extension of its adjacent side

Tags

CCSS.2.G.A.1

Obtuse Triangle

• A triangle with one angle larger than 90°
• A triangle with three congruent angles. All angles are 60° and all sides are congruent
• States that if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle then the triangles are congruent
• A triangle with no congruent sides
• Angles that have one side in common with the base

Tags

CCSS.4.G.A.2

Perpendicular lines

• Lines in the same plane that intersect at 90° angles whose slopes are opposite reciprocals
• Angle on the inside of a polygon formed by pairs of adjacent sides
• Sides and angles in two figures whose relative position is the same
• A triangle with all three angles equal to less than 90°
• Corresponding side lengths form equivalent ratios

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Right Triangle

• A triangle with one 90° angle
• Angle on the outside of a polygon formed by the side of a polygon and an extension of its adjacent side
• Shapes whose angles are congruent and side lengths are proportional (equal scale factor)
• A triangle with 3 congruent sides. All angles are congruent and are 60°
• Figures that are the same size and same shape

Tags

CCSS.2.G.A.1