How was Euclid important to geometry? All of the above None of the above Cannot be determined He set up a deductive system by starting with a set of statements (axions), assumed to be true, and then showed that geometric discoveries followed logically from these assumptions.

He set up a deductive system by starting with a set of statements (axions), assumed to be true, and then showed that geometric discoveries followed logically from these assumptions.

Definition of collinear Points that are on the same line Cannot be determined None of the above All of the above

Points that are on the same line

Is it possible to have 2 points that are not collinear? None of the above All of the above Cannot be determined It is not possible because every time there are two distinct points, there is always a line containing them.

It is not possible because every time there are two distinct points, there is always a line containing them.

If A and B are points, what is AB? Cannot be determined AB represents the distance between points A and B. None of the above All of the above

AB represents the distance between points A and B.

Can the length of a line be measured? Cannot be determined All of the above None of the above No; it is continuous and infinite in both directions.

No; it is continuous and infinite in both directions.

What is the criteria for a point to be in-between two other points? None of the above The three points must be collinear and the distance between the first point and the middle point + the distance between the middle point and the last point must equal the total length from the first point to the last point. All of the above Cannot be determined

The three points must be collinear and the distance between the first point and the middle point + the distance between the middle point and the last point must equal the total length from the first point to the last point.

Can the thickness of a line be measured? None of the above All of the above No; geometrically, a line has no breadth or width. Cannot be determined

No; geometrically, a line has no breadth or width.

Definition of axion All of the above Cannot be determined None of the above Statement that cannot be proven

Statement that cannot be proven

Geometry True or False Flashcards: Polygons, Symmetry, and Shape Relationships

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Cards in this deck(100)

How was Euclid important to geometry?

How many points are needed to uniquely determine a line?

How many points are contained in a line?

Definition of collinear

Is it possible to have 2 points that are not collinear?

If A and B are points, what is AB?

Can the length of a line be measured?

What is the criteria for a point to be in-between two other points?

Can the thickness of a line be measured?

Definition of axion

Definition of theorem

How many points are needed to uniquely determine a plane and what requirement is placed on those points?

Definition of coplanar

Definition of skew lines

Definition of intersecting lines

Definition of parallel lines

What is the symbol that represents parallel?

Definition of coincident lines

Can two lines share exactly two points?

When two planes intersect, what do they have in common?

Definition of angle

Definition of adjacent angle

Definition of supplementary angle

Definition of acute angle

Definition of obtuse angle

Definition of right angle

What is the notation for writing degrees, minutes, and seconds?

Definition of circle

Definition of arc

Definition of chord

Definition of diameter

Definition of perpendicular lines

Can a "curve" be composed of line segments?

What is a connected curve?

What is a simple curve?

What is a closed curve?

What is a polygon?

What is a vertex?

What is a polygonal region?

How many sides or vertices does a triangle have?

How many sides or vertices does a quadrilateral have?

How many sides or vertices does a pentagon have?

How many sides or vertices does a hexagon have?

How many sides or vertices does a heptagon/septagon have?

How many sides or vertices does an octagon have?

How many sides or vertices does a nonagon have?

How many sides or vertices does a decagon have?

How many sides or vertices does a dodecagon have?

What is an example of a simple closed curve that is not a polygon?

What is a convex curve?

What is a concave curve?

How would you explain to a child what a "diagonal" of a polygon is?

How many distinct diagonals are in a polygon with n sides?

What determines an interior angle of a polygon?

What determines an exterior angle of a polygon?

What are congruent parts?

What are congruent polygons?

What is the symbol for congruence?

What is the difference between two lines that are equal and two lines that are congruent?

What is a regular polygon?

What is an equiangular polygon?

What is an equilateral polygon?

True or false: All regular polygons are equiangular

True or false: All equiangular polygons are regular

True or false: All regular polygons are equilateral

True or false: All equilateral polygons are regular

What is an acute triangle?

What is a right triangle?

What is an obtuse triangle?

What is an equilateral triangle?

What is an isosceles triangle?

What is a scalene triangle?

What is a parallelogram?

What is a rectangle?

What is a rhombus?

What is a square?

What is a trapezoid?

What is an isosceles trapezoid?

What is a kite?

Is it possible for a parallelogram to have exactly one right angle?

Is it possible to draw a rhombus with exactly two congruent sides?

Is it possible to draw a square with exactly two congruent sides?

Is it possible to draw a rectangle that is not a parallelogram?

What is a rhombus that is also a rectangle?

What is a kit that is also a trapezoid?

Why did the authors of the textbook choose the definition for a square rather than the one you probably learned as a child?

Which of the special quadrilaterals defined in the chart could be concave?

True or false: Every quadrilateral is a square

True or false: Every square is a quadrilateral

True or false: Every rectangle is a trapezoid

True or false: Every trapezoid is a rectangle

True or false: Every square is a kite

True or false: Every kite is a square

True or false: Every square is a rhombus

True or false: Every rhombus is a square

True or false: Every trapezoid is an isosceles trapezoid

True or false: Every rectangle is a kite

True or false: Every kite is a rectangle

True or false: Some kites are rectangles

What is a line of symmetry?

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Geometry True or False Flashcards: Polygons, Symmetry, and Shape Relationships

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