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- North-carolina
- Carolina Day School
- Honors Geometry 1
- Codd
- Theorems For 5-13

Abigail W.

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What is a parallelogram?

a quadrilateral with both pairs of opposite sides parallel

Opposite sides o a parallelogram are ______________

congruent

Opposite angles of a parallelogram are ____________

congruent

Diagonals of a parallelogram __________ each other

bisect

If both pairs of opposite sides of a quadrilateral are congruent, the the quadrilateral is a _______

parallelogram

If one pair of opposite sides of a quadrilateral are both congruent and parallel the the quadrilateral is a ___________

parallelogram

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a ___________.

What are the five ways to prove that a quadrilateral is a parallelogram?

If two lines are parallel, then all the points on one line are ___________ from the other line.

The segment that joins the midpoints of two sides of a triangle:

What is a rectangle?

What is a rhombus?

What is a square?

The diagonals of a rectangle are ___________

The diagonals of a _________ are perpendicular

Each diagonal of a _________ bisects two angles of the __________

The ______ of the hypotenuse of a right triangle is equidistant from the three vertices.

If an angle of a parallelogram is a right angle, then the parallelogram is a ____________.

If two consecutive sides of a parallelogram are congruent, then the parallelogram is a __________.

What is a trapezoid?

What is an isosceles trapezoid?

The base angles of an _________ __________ are congruent.

The median of a trapezoid:

Statement:

Inverse of a statement:

Contrapositive of a Statement

Converse of a statement:

A statements and its _________ are logically equivalent.

A statement is not logically equivalent to its ______ or to its __________.

How do you write an indirect proof?

The sum of the lengths of any two sides of a triangle is ________ than the length of the third side.

What are the properties of proportion when a/b=c/d?

What is the AA similarity postulate?

What is the SAS Similarity Theorem?

What is the SSS Similarity Theorem?

If three parallel lines intersect two transversals, then they divide the transversals ___________.

What is the geometric mean of a and b?

What is the Pythagorean Theorem?

If c2=a2+b2, then m<c=90 and ABC is a _____ triangle.

If c2<a2+b2, then m<C<90 and triangle ABC is ______.

If c2>a2+b2, then m<C>90 and triangle ABC is ______.

In a 45-45-90 triangle, the hypotenuse is ___ times as long as a leg.

What is the tangent ratio?

What is the sine ratio?

What is the cosine ratio?

What is a chord?

What is a secant?

What is a diameter?

What is a tangent?

What is the point of tangency?

Tangents to a circle from a point are ________.

What is the arc addition postulate?

In the same circle or in congruent circles:

A diameter that is perpendicular to a chord ________ the chord and its arc.

In the same circle or in congruent circles:

What is an inscribed angle?

The measure of an inscribed angle is equal to half the __________ of its intercepted arc

If two inscribed angles intercept the same arc, then the angles are _________.

An angle inscribed in a semi-circle is a _____ angle.

If a quadrilateral is inscribed in a circle, then its opposite angles are _____________.

The area of a square is the square of the length of a side, what is the formula?

If two figures are congruent, then they have the same _______

The area of a region the sum of the _______ of its non-overlapping parts.

The area of a rectangle equals the product of its ________ and _________

The area of a parallelgoram equals the product of a _______ and the _________ to that _________.

The area of a triangle equals half the product of a ________ and the ________ to that ________.

The area of a rhombus equals half the product of its ___________.

The area of a trapezoid equals half the product of the ________ and the sum of the ________.

The area of a regular polygon is equal to half the product of the __________ and the _____________.

Formula for the circumference of a circle:

Formula for area of a circle:

Comparing the areas of triangles:

If the scale factor of two similar figures is a:b, then:

What is the altitude of a prism?

What is the formula for lateral area?

What is the formula for total area?

What is the formula for volume?

The lateral area of a right prism equals the ___________ of a base times the _________ of the prism.

The volume of a right prism equals the _______ of a base times the ________ of a prism.

What is the formula for the lateral area of a pyramid?

What is the formula for the volume of a pyramid?

The volume of a pyramid equals one third the _______ of a base times the _________ of the pyramid.

What is the formula for the lateral area of a cylinder?

The lateral area of a cylinder equals the ________ of a base times the ________ of a cylinder.

What is the formula for the volume of a cylinder?

The volume of a cylinder equals the _______ of a base times the ________ of the cylinder.

What is the formula for the lateral area of a cone?

The lateral of a cone equals half the ________ of the base times the _______ ________.

What is the formula for the volume of a cone?

The volume of a cone equals one third the ______ of the base times the ________ of the cone.

What is the formula for the area of a sphere?

The area of a sphere equals ____ times the square of the radius.

What is the formula for the volume of a sphere?

The volume of a sphere equals _____ times the cube of the radius.

If the scale factor of two similar solids is a:b, then:

What is the distance formula?

What is the formula for the center of a circle with a radius of r?

What is the formula for the slope of a line?

Two nonvertical lines are parallel if and only if their slopes are ________

Two nonvertical line are perpendicular if and only if the product of their slope is _____

How do you find the magnitude of a vector?

What is the midpoint formula?

What is standard form?

What is slope intercept form?

What is point slope form?

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