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Unit 5 Vocabulary
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Terms in this set (29)
Angle bisector
line, ray, or segment that divides an angle into two congruent angles
Congruent angles
angles whose angle measurements are equal
Congruent segments
line segments whose lengths are equal
Corresponding angles
angles in two figures whose relative position is the same
Geometric construction
construction of accurate representations of lengths, angles, and geometric figures using only a straight edge and compass
Geometric mean
a positive number x such that , so x2 = ab and x =
Hypotenuse of a right triangle
the longest side of a right triangle, the side opposite the right angle
Perpendicular bisector of a line segment
line, ray, or segment that divides a line segment into two congruent segments and forms a 90º angle at the point of intersection
Perpendicular lines
lines that intersect at a 90º angle to form right angles
Proportional sides
corresponding side lengths form equivalent ratios
Segment bisector
point, line, ray, segment, or point that divides a line segment into two congruent segments
Similar figures
shapes whose angles are congruent and side lengths are proportional (equal scale factor)
Trigonometric ratios
a ratio of the measures of two sides of a right triangle based on their position in relation to an acute angle in the right triangle
Angle of depression
the angle between the horizontal and the line of sight to an object beneath the horizontal.
Angle of elevation
The angle above horizontal that an observer must look to see an object that is higher than the observer.
Converse of Pythagorean Theorem
If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
Cosine
the trigonometric function that is equal to the ratio of the side adjacent to an acute angle (in a right-angled triangle) to the hypotenuse.
Equilateral triangle
Triangle in which all sides are congruent
Hypotenuse
the longest side of a right triangle, opposite the right angle.
Isosceles right triangle
Right triangle with congruent legs and 45 degree angles
Leg adjacent
the side of a right triangle that is part of the angle being addressed
Leg of a right triangle
The two sides of the right triangle that form the right angle
Leg opposite
the side of a right triangle that is across from the angle being addressed
Pythagorean Theorem
If the sum of the squares of the two sides of a right triangle equal the square of the other side of a triangle, then the triangle is a right triangle.
Pythagorean triple
a set of three integers a, b, c which form the sides of a right angled triangle
Right triangle
Triangle in which one of the angles is 90 degrees
Sine
the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse.
Special right triangle
a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. (ex 45-45-90 and 30-60-90)
Tangent
the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the side adjacent the same angle.
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