Geometry Flashcards
two-dimensional shapes
flat shapes (squares,circles)
rechter Winkel
right angle ( 90°)
spitzer Winkel
acute angle ( angle less than 90°)
stumpfer Winkel
obtuse angle ( angle more than 90°)
innerer Winkel
inner angle
äußerer Winkel
outer angle
Geometry
Geometry is a major branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids.
plane geometry
geometry that deals with flat or plane shapes
triangle
simplest two-dimensional shape with three sides and three angles
equilateral triangle
equal sides and equal angles ( each 60°)
isosceles triangle
two equal sides ( angles ,opposite the equal sides are also, equal)
isosceles: greek for equal legs
scalene triangle
no equal sides or angles
quadrilateral
shape with four straight sides and four angles
square
quadrilateral shape with four equal sides ( in length) and angles
Parallelogram
opposite sides are parallel and equal in length
Rhombus
a parallelogram with equal sides
trapezium
at least one pair of parallel sides
kite
two pairs of adjacent sides with equal lengths ( two isosceles with their bases joined)
isosceles trapezium
the non-parallel sides are equal in length ( has one line of symmetry)
Polygons
shape with three or more sides
regular
polygon whose sides and angles are equal
Pythagoras’ Theorem
in a right-angled triangle, the area of the square drawn on the hypotenuse is equal to the sum of the areas of the squares drawn on the other two sides.
hypothenuse
The longest side of a right-angled triangle , opposite of the right angle)
Three-dimensional shapes
have length, width and height