Geometry Basics
Triangles
Points to Ponder
Other Polygons
Special Angles
100
A pair of adjacent supplementary angles
What is a linear pair?
100
Whether the lengths of 5 cm, 12 cm and 13 will form a right triangle (explain why or why not)
Yes, 52 + 122 = 132
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 a rectangle?
100
What is the relationship between <3 and <5?
Same Side Interior Angles
200
a) Lines that lie in the same plane but never intersect
a) what are parallel 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
What is the measure of one interior angle of a 15-gon polygon
what is 156 degrees? [13(180)] / 15
200
a quadrilateral that is both equiangular and equilateral
What is a square?
200
If < 1 and < 2 are vertical angles, and m< 1 = 6x +20 and m<2 = 4x + 40.
What is m< 1 =
m< 1 = 80
300
Adjacent angles share....
a common ray
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: 4x 6x 3x and 5x
What is x = 20
300
What is the relationship between an exterior angle and it two remote interior angles?
The sum of the two remote interior angles is equal to the measure of the exterior angle.
400
This is the distance between (-9, 3) and (1, -5)
What is the square root of 164? (about 12.8)
400
What is the height of and equilateral triangle with sides of 6cm
62-32 = sqrt(27) = 5.19 cm
400
What is the special name for the distance from the center of a regular polygon to the midpoint of any side?
Apothem
400
The four ways you know a quadrilateral is a parallelogram, other than that all opposite sides are parallel. Name (2 of 4)
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
What is wrong with a triangle having m<1 =43,
m<2 = 60 and m<3 = 79
m<1 + m<2+ m<3 should equal 180 (it does not).
500
The midpoint M of Segment AB is M(2.5 , 7)
If A is :( 2, 9) what is B?
( 3, 5)
500
What is the measure of the vertex of an isosceles triangle with base angles of 71 degrees?
38 degrees
500
If the sum of the interior angles of a regular polygon is 2160 degree, how many sides does the regular polygon have?
14 sides
500
Two isosceles trapezoids are similar. The smaller trapezoid has an area of 10cm2. Calculate the area of the larger trapezoid if the larger is 3 times bigger than the small trapezoid.
90 cm2
500
Why is m<L = m< J?
AIA are congruent