Geometry Basics
A pair of adjacent supplementary angles
What is a linear pair?
The EXACT length of a leg if a right triangle's other two sides measure 12cm and 18 cm (length must be an integer or in radical format)
What is 6 times the square root of 5 (simplified from the square root of 180 )
This transformation slides an object.
What is a translation?
A parallelogram with four right angles
What is either a square or a rectangle?
The sum of the interior angles of a 32 sided polygon
What is 5,400 degrees? (n-2)(180) or here, 30*180
a) Lines that lie in the same plane but never intersect b) Lines that intersect and form a 90 degree angle
a) what are parallel lines? b) what are perpendicular lines?
When triangle NED is congruent to triangle RWO, this is the angle that corresponds to angle WRO.
What is angle END?
This transformation flips an object.
a quadrilateral that is both equiangular and equilateral
What is a square?
When triangle NED is congruent to triangle RWO, this is the angle that corresponds to angle WRO
What is angle END?
The converse of the conditional: "if you don't water your flowers then they will wilt"
What is "If your flowers are wilted then you didn't water them."
Whether the lengths of 7.3 cm, 5.02 cm and 2.1 will form a triangle
What is no, they will NOT form a triangle because the sum of the 2 shortest sides is less than the third side.
This transformation stretches or shrinks an object.
What is a dilation?
two parts: a) what a regular polygon is. b) the measure of one interior angle of a 15-gon polygon
a) what is a polygon where all sides are equal and all interior angles are equal b) what is 156 degrees [13(180)] / 15
This is the distance between (-9, 3) and (1, -5)
What is the square root of 164? (about 12.8)
The slope of a line perpendicular to a line with slope of 5/3
What is a line with slope of -3/5 (slopes are opposite and reciprocals of each other)
The measure of a base angle in an isosceles triangle whose vertex angle is 37.5 degrees
What is 71.25 degrees? (180-37.5)/2
This transformation turns an object by a certain angle.
What is a rotation?
Two isosceles trapezoids are similar. The smaller trapezoid has bases that are 4.8 inches and 6.75 inches. The longer base of the larger trapezoid is 32.0625 inches (32and 1/16th of an inch). Calculate the length of the shorter base of the larger trapezoid (draw a picture)
what is 22.8 inches? (proportion is 4.8/6.75 = x/32.0625 ; solve for x)
The volume of a triangular pyramid with height of 3 ft whose base is a right triangle with dimensions of 6 in, 8 in and 10 in
what is volume of 288 cu. inches ( change 3 ft to 36 inches; area of base is 1/2 of 6*8 or 24. then volume is 1/3 * 24 * 36)
A wall, table, or ceiling
What is a plane?
The reason why you know that a triangle with side lengths of 5.4”, 7.2” and 9” is definitely a right triangle.
What is because 5.4 squared + 7.2 squared = 9 squared ?
If A(20,15) is dilated: k=2/5, where is A'?
A'(8,6)
The value of x when the four angles of a quadrilateral are given by: 2x, x-5, 3x-2 and 5x+19
What is x = 31.63636364
three of the things that occur when a line bisects the vertex angle of an isosceles triangle
What is : 1. the line is a perpendicular bisector of the base 2. the line is also a median:segment bisector 3. the line is a line of symmetry for the triangle