Math Flashcards
What theorem states that if two lines are perpendicular to the same line then the two lines are parallel?
Perpendicular/parallel line theorem
What is the definition of a square?
Quadrilateral with 4 right angles and all sides are congruent
Diagonals of a square are…..
Equal
Opposite sides of a square are
Parallel
Diagonals of a square ——–each other
Bisect
Diagonals of a square ——— the vertex angles
Bisect
Diagonals of a square are ___________ to each other
Perpendicular
Definition of a rectangle
Quadrilateral with opposite sides congruent and 4 right angles
Opposite sides of a rectangle are _____and______
Parallel
Congruent
Diagonals of a rectangle are
Congruent
Diagonals of a rectangle _______ each other
Bisect
Do the diagonals of a rectangle bisect the vertex angles?
No
Are the diagonals of a rectangle perpendicular to each other?
No
What is this a definition of: quadrilateral with two pairs of consecutive congruent sides with opposite that are not congruent?
Kite
One pair of opposite angles of a kite are….
Congruent
The shorter diagonal of a kite is _________by the longer diagonal
Bisected
Are the diagonals of a kite congruent?
No
Do the diagonals of a kite bisect the vertex angles?
Only the longer diagonal bisects the small angle
Are the diagonals of a kite perpendicular to each other?
Yes
Definition of a trapezoid
Quadrilateral with exactly one pair of parallel side
Base angles of an isosceles trapezoid are …..
Congruent
The diagonals of an isosceles trapezoid are…..
Parallel
Are the opposite sides of a trapezoid parallel?
Yes, one pair
Do the diagonals of an isosceles trapezoid bisect each other?
No
Parallelogram definition
Quadrilateral with both pairs of parallel sides
Sine abbreviation and definition
Sin
Opposite angle over hypotenuse
Cosine abbreviation and definition
Cos
Adjacent over hypotenuse
Tangent abbreviation and definition
Tan
Opposite angle over adjacent angle
Cotangent abbreviation and definition
Cot
Adjacent angle over hypotenuse
Secant abbreviation and definition
Sec
Hypotenuse over adjacent angle
Cosecant abbreviation and definition
Csc
Hypotenuse over opposite angles
Sohcahtoa
Way to remember trig ratios
Def. of a parallelogram
Quadrilateral with both pairs of opposite sides parallel
Opposites sides of a parallelogram are ______and________
Congruent and parallel
Opposite angles of a parallelogram are ______
Congruent
Consecutive angles of a parallelogram are_____
Supplementary
The diagonals of a parallelogram _______each other
Bisect
Are the diagonals of a parallelogram congruent?
No
Do the diagonals of a parallelogram bisect the vertex angle
Yes, in a rhombus
No in a parallelogram
Are the diagonals of a parallelogram perpendicular to each other?
No
Def. of a rhombus
Quadrilateral with all sides congruent
Opposite sides of a rhombus are ________and_________
Parallel and congruent
The diagonals of a rhombus are ______ to each other
Perpendicular
The diagonals of a rhombus ________each other
Bisect
The diagonals of a rhombus______the vertex angles
Bisect
True or false
If a quadrilateral is a parallelogram, then it is a rhombus
False
True or false
If a quadrilateral is a rhombus, then it is a parallelogram
False
Which theorem states that if a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally?
Triangle proportionality theorem
Which theorem states if a line divides the two sides of a triangle proportionally, then it is parallel to the third side?
Converse of the triangle proportionality theorem.
Which theorem states if three lines intersect two transversal, then they divide the transversals proportionally?
Proportional segments theorem
Which theorem states that the mid segment of a triangle is parallel to the third side of the triangle and is half the measure of the third side of the triangle?
Triangle mid-segment theorem
Which theorem states if an altitude is drawn to the hypotenuse of a right triangle, the. The two triangles formed are similar to the original triangle and to each other?
Right triangle similarity theorem.
Which theorem states that the measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse?
Right triangle altitude/hypotenuse theorem
Which theorem states that if the altitude is drawn to the hypotenuse of a right triangle, each leg of the right triangle is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg?
Right triangle altitude/ leg theorem
Which theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar?
Angle angle similarity theorem
Which theorem states that if all three corresponding sides of two triangles are proportional, then the triangles are similar?
Side side similarity theorem
Which theorem states that if the two corresponding sides of two triangles are proportional and the included angles are congruent, then the triangles are similar?
Side and side similarity theorem
