Answer all the questions below and press submit to see how many you got right.
Area : The amount of unit squares that is needed to cover a 2-dimensional shape.
Circle : A circle is a two-dimensional shape. The boundary of a circle is a set of points that has the same distance (the radius) from the center of the circle.
Circumference : The perimeter of a circle is called circumference. The length of the circumference $C$ can be calculated as $C=2\pi r=\pi d,$ where $r$ is the radius and $d$ the diameter of the circle. This means that the circumference of a circle with diameter 1 $cm$ (radius 0.5 $cm$) is about 3.14 $cm.$
Cubed : The cube of a number $x$, or $x$ cubed or $x^3$ is the third power of $x$: $x^3=x\cdot x\cdot x.$ For example 2 cubed equals 8.
Diameter : The diameter of a circle is the length of a line segment from the boundary of a circle through the center of the circle to the boundary on the other side of the circle.
Equation : An equation is a mathematical statement in which two expressions are written with an equal sign in between. A solution of an equation is a set of variables that makes the statement a true statement.
Length : Length is the attribute of a one-dimensional shape that can be measured with a measuring tape.
Pi : Pi or $\pi$ is an irrational number approximately equal to 3.14 that is defined as the quotient of the circumference and the diameter of a circle.
Radius : In a circle or sphere the radius is the distance between the center and the boundary.
Squared : $x$ squared refers to the number $x^2=x\cdot x.$ For example 3 squared equals 9.
Volume : Volume refers to the size of a three-dimensional objects measured by how many unit cubes it would take to fill the shape.
Which formula describes the circumference $C$ of a circle with diameter $d?$
Base : When using the height of a triangle or parallelogram (for example in an area calculation), base refers to the side of the triangle or parallelogram that the height starts out at. In a logarithm $\log_{b}x$ or power $b^x$ base refers to the number $b.$
Centimeter : A centimeter ($cm$) is $\frac{1}{100}$ of a meter.
Height : In a triangle a height (or altitude) is the shortest line segment that connects a side to its opposing corner. A height of a triangle is perpendicular to the side is started at. The three heights of a triangle intersect in a point, the so called orthocenter of the triangle. In a parallelogram the height is the shortest distance between two opposing sides. In a pyramid the height is the shortest distance between the base area and the corner of the pyramid that is not part of the base area. In a prism the height is the shortest distance between the two base faces.
Parallelogram : A parallelogram is a quadrilateral with 2 pairs of parallel sides. Rectangles, rhombuses and squares are special kinds of parallelograms.
Square centimeter : Square centimeter or $cm^2$ is a unit of measurement for measuring area. 1 square centimeter is the area of a square with side length 1 $cm,$ so 10,000 $cm^2$ are one $m^2.$
What is the area in square cm of a parallelogram that has a base of 5 cm and a height of 5 cm?
Alternate exterior angle : When two parallel lines are crossed by a third line, alternate exterior angles are a pair of angles that are not between the two parallel lines and are on opposites sides of the crossing line. Alternate exterior angles are equal.
Alternate interior angle : When two parallel lines are crossed by a third line, alternate interior angles are a pair of angles that are between the two parallel lines and are on opposites sides of the crossing line. Alternate interior angles are equal.
Angle : If two line segments (or rays) both start at a common point the opening between the two line segments is called an angle. The common point is called vertex of the angle. The size of an angle is measured in degrees.
Line : A line AB is a one-dimensional shape that includes the points A and B, all the points on the line segment in between A and B and all the points of the straight extension of the line segment beyond A and B. A line does not have an endpoint.
Parallel : Two lines in a two-dimensional plane are called parallel if they never cross.
Straight angle : A straight angle is an angle equal to $180^{\circ}.$
Which statements are true about the angles $\alpha$ and $\beta$ at the crossings of the line EF with the parallel lines AB and CD in the picture above?