Logic in Geometry
This logical statement has two parts: the hypothesis and the conclusion.
What is an 'if then' statement?
This is a location with no size or dimension, often represented by a dot.
What is a point?
This angle measures more than 0° but less than 90°.
What is an acute angle?
A triangle with all sides of different lengths is called this.
What is a scalene triangle?
This transformation involves flipping a figure over a line.
What is a reflection?
This is the term for a logical statement that contains a hypothesis and a conclusion.
What is a conditional statement?
These two lines are in the same plane and do not intersect.
What are parallel lines?
This angle is equal to 90°.
What is a right angle?
This triangle has two sides of equal length and two equal angles.
What is an isosceles triangle?
This transformation slides a figure from one position to another without turning it.
What is a translation?
The conclusion drawn from the premises in a logical argument is this.
What is the conclusion?
These are the names given to lines that intersect at a right angle.
What are perpendicular lines?
This is an angle greater than 90° but less than 180°
What is an obtuse angle?
The sum of the interior angles of a quadrilateral is this many degrees.
What is 360 degrees?
In this transformation, a figure turns around a fixed point.
What is a rotation?
This is a formal statement that can be proven using logical reasoning and previously proven statements.
What is a theorem?
This is the flat, two-dimensional surface that extends infinitely in all directions.
What is a plane?
Two angles are this type if the sum of their measures is 180°.
What are supplementary angles?
A polygon with equal sides and angles is known as this.
What is a regular polygon?
This transformation changes the size of a figure but not its shape.
What is a dilation?
A statement that includes the wording 'if and only if'.
What is a biconditional?
The intersection of two distinct planes in space is typically this.
What is a line?
This is the angle formed in the exterior of a polygon by extending one of its sides.
What is an exterior angle?
The sum of the interior angles of a hexagon is this.
What is 720 degrees?
The term for combining two or more transformations to form a single transformation is this.
What is a composition of transformations?