Show:
Geometry Basics
Triangles
Points to Ponder
Other Polygons
Circles
100
A pair of adjacent supplementary angles
What is a linear pair?
100
Whether the lengths of 7.3 cm, 5.02 cm and 2.1 will form a triangle (explain why or why not)
What is no, they will NOT form a triangle because the sum of the two shortest sides is less than the third side.
100
When triangle NED is congruent to triangle RWO, this is the angle that corresponds to angle WRO.
What is What is angle END?
100
A parallelogram with four right angles
What is either a square or a rectangle?
100
The exact area of a circle whose circumference is 20 inches
what is 100/(pi2) square inches (about 10.132)
200
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?
200
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
200
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
200
a quadrilateral that is both equiangular and equilateral
What is a square?
200
two parts: a) the EXACT diameter of a circle if the circle's circumference is 75 pi inches. b) the area of a circle if the circle's diameter is 26 cm
a) what is 75 inches ? b) what 169 pi sq. cm. ? ( pi times radius squared when r = 26/2)
300
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."
300
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 5.4^2 + 7.2^2 = 9^2 ?
300
The sum of the interior angles of a 32 sided polygon
What is 5,400 degrees? (n-2)(180) or here, 30*180
300
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 = 31.6363636…
300
If a line is tangent to a circle, this is the measure of the angle at the point of tangency formed with the radius of the circle at that point. (Draw a picture of the angle too)
What is 90 degrees? (draw a picture too)
400
This is the distance between (-9, 3) and (1, -5)
What is the square root of 164? (about 12.8)
400
The EXACT length of a leg if a right triangle's other two sides measure 12 cm and 18 cm (length must be an integer or in radical format)
What is “6 times the square root of 5” cm (simplified from sq root of 180 )
400
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)
400
The four ways you know a quadrilateral is a parallelogram, other than that all opposite sides are parallel
What is: 1. All opposite angles are equal 2. Both pairs of opposite sides are equal 3. The diagonals bisect each other 4. A pair of opposite sides that are parallel are also congruent
400
Two parts: a) The location of the vertex of any central angle in a circle? b) The measure of the arc intercepted by a central angle that measures 76 degrees.
a) what is the center of the circle? b) what is 76 degrees?
500
a) the definition for pi as it was "discovered" by ancient mathematicians (not looking for any decimal approximation of pi - don't say 3.14159....) b) an activity we did in class to demonstrate the definition in (a) above c) the Greek mathematician for whom the Pythagorean Theorem is named
a) what is circumference of a circle divided by it's diameter? b) what is take a hoodie or shoe lace to approximate diameter and estimate how many diameters would fit around the circle c) who is Pythagoras?
500
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 3. the line is a line of symmetry for the triangle
500
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 (hint: which sides of the triangular base will you use to find the area of the base? )
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)
500
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? one proportion: 4.8/6.75 = x/32.0625 ; solve for x
500
two parts: a) how you know an angle is an inscribed angle (draw a picture) b) the measure of an inscribed angle that intercepts an arc that measures 30 degrees
a) What is the angle intersects a circle in two point and the angle's vertex is ON the circle (draw a picture) b) what is 15 degrees (the inscribed angle measures half of the measure of the arc)