Chapter 4
Whats a polygon?
A closed plane figure with at least three straight sides
What are the base angles of a trapezoid?
Two consecutive angles whose common side is a base
What is the Angle-Angle (AA) similarity theorem?
If two angles of one triangle are congruent of another triangle, then the two triangles are similar.
What are Pythagorean Triples?
Whats an inscribed angle?
An angle whose vertex is on a circle and whose sides contain chords of the circle.
Whats the Area of parallelograms formula?
Base times height
Whats a diagonal?
A segment of a polygon that connects any two nonconsecutive vertices.
What is the SSS similarity theorem?
if the sides of two triangles are in proportion, then the triangles are similar.
What is the law of sines?
In any triangle, the ratio of the length of a side to the sine of its opposite angle is consistent.
Whats an intercepted arc
an arc that lies between two lines, rays, or segments
Whats a composite figure?
A figure (or shape) that can be divided into more than one of the basic figures
Define what a kite is
A quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.
What is the SAS similarity theorem?
If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.
What is the angle of elevation?
The angle between the line of sight and the horizontal when an observer looks upward.
Whats a subtend?
A segment or arc subtends an angle if the endpoints of the segment or arc lie on the sides of the angle.
Whats the formula for the area of a triangle
1/2 base times height
Whats the mid-segment of a trapezoid.
A segment that connects the midpoints of the legs of the trapezoid
If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides proportionally.
Whats the angle of depression?
The angle between the line of sight and the horizontal when an observer looks downwards
What is a circumscribed circle?
The circle that contains the vertices of an inscribed polygon
1/2 (Base 1 + Base 2) times height
Whats the polygon interior angles theorem?
The sum of the measures of interior angles of a convex n-gon is (n-2) x 180
Whats the Triangle Angle Bisector theorem?
If a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides.
Whats a vector?
A directed segment representing a quantity that both magnitude, or length, and direction
Whats the Measure of an inscribed angle theorem?
The measure of an inscribed angle is one half the measure of its intercepted arc.