Section 1
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Reflection through the origin
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Cards (100)
Section 1
(50 cards)
Reflection through the origin
(x,y) -> (-x,-y)
Regular Polygon
A polygon with congruent angles and congruent sides is called a ______ polygon.
Ratio
This another name for a fraction or quotient. It can also be written in the forms \'a:b\' and \'a to b\', where a and b are numbers.
Adjacent Angles
These are two angles in a plane which share a common vertex and a common side but do not overlap.
ASA Congruence Postulate
If two angles and the included side of one triangle are congruent to two angles angles and the included side of a second triangle, then the two triangles are congruent.
Parallel
Lines that do not intersect are called ____.
Proportional
Two variables which have a constant ratio between them are said to be ___.
Congruent
When two geometric figures (angles, rectangles, etc.) have the same size and shape, they are called ____.
Pythagorean Theorem Converse
If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
SAS
If two sides one triangle are proportional to two sides of a second triangle, and the included angles of those sides are congruent, then the triangles are similar.
Pythagorean Theorem
This is the mathematical relation relating the three sides, a, b, c, of a right triangle.
Parallelogram
This is a quadrilateral that contains two pairs of parallel sides.
Rotation Formula (270°CCW & 90°CW)
(x, y) -> (y, -x)
Rotation
Moving a figure around a fixed point in the plane is called making a ___.
Reflection over the line y = x
(x, y) -> (y, x)
Isosceles
This is a triangle with exactly two congruent sides.
Quadrilateral
A polygon with 4 sides is called a ____.
Perpendicular Lines
These lines intersect to form a right angle.
Parallel Lines
The slopes of these lines are always the same.
Line
This is the straight path connecting two points and extending infinitely in both directions.
Inscribed Polygon
Inscribed Polygon
Point
The intersection of two distinct lines occurs at a ____.
Alternate Exterior Angles
These are two angles that are located outside two parallel lines on opposite sides of the transversal.
Equilateral
This is a triangle with all sides equal in length.
Rotation Formula (180°CCW & 180° CW)
(x, y) -> (-x, -y)
Angle
These are two rays sharing a common endpoint. They are typically measured in degrees.
Diagonal
In a closed plane figure, a ____ is a segment which joins two non-consecutive vertices. For example, in rectangle ABCD, the segment AC would be one of these.
Angle Bisector
A line, segment, or ray that divides an angle into two congruent, adjacent angles.
Interior Angles
For a polygon, this is the angle formed inside a polygon by two adjacent sides. For parallel lines cut by a transversal, these are any of the four angles formed between two straight lines intersected by a third straight line.
Dilation Formula
(kx, ky) k = scale factor
Congruent Figures
Figures that have the same size and same shape. Their corresponding angles and sides are the same size.
Circle
The set of points in a plane that are equidistant from a given point form a ____.
AA Similarity Postulate
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Dilation
A transformation that increases or decreased the size of a figure according to the scale factor.
Arc
An ___ is a portion of a circle. There are three types of these: minor, major, and semicircle. A semicircle measures 180 degrees, a minor one is shorter than a semicircle, and a major one is longer than a semicircle.
Polygon
This is a closed plane figure formed by three or more line segments that do not cross over each other.
Reflection over y-axis
(x, y) -> (-x, y).
Midsegment Of A Triangle
The segment connecting the midpoints of two sides of a triangle. It is parallel and half the length of the third side.
Opposite Angles
In a quadrilateral, _____ angles are those which have no side in common.
AAS Congruence Theorem
If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of a second triangle, then the two triangles are congruent.
Hexagon
A polygon with six sides.
Rectangle
This is a quadrilateral with four congruent angles (all 90°).
Base Angle
In an isosceles triangle, the _______ angles are the two congruent ones.
Corresponding Angles
These are two angles that are formed by two coplanar lines and a transversal. They occupy the same relative positions.
Inscribed Angle
An angle whose vertex lies on the circle. The measure of this angle is one-half the measure of the intercepted arc.
Bisector
A line that is perpendicular to a segment and intersects the segment at its midpoint is called the perpendicular ____.
Bisect
To divide a figure (such as an angle or a line segment) in half is to ____ it.
Reflection over x-axis
(x, y) -> (x, -y).
Corresponding
In similar figures, ___ sides are proportional.
Alternate Interior Angles
These are two angles that are located between two parallel lines on opposite sides of the transversal.
Section 2
(50 cards)