Chapter 3
Chapter 5
Chapter 6
Chapter 8
Chapter 12
100
Identify all of the alternate interior angles. Then find all of the pairs of alternate exterior. Subtract the number of interior pairs from the number of exterior pairs (exterior - interior). 30 second time limit.
What is 0?
100
What is the Hinge Theorem?
If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second
100
What is the geometric mean of 4 and 16?
8
100
Definition of a kite
What is a quadrilateral with 2 pairs of consecutive congruent sides where opposites are not congruent?
100
Surface area of a pyramid.
What is B+1/2Pl?
200
Find the value of x
What is 2?
200
What are the points of concurrency for the 4 types of segments in a triangle
Centroid, circumcenter, orthocenter, incenter
200
*No calculator* Simplify this ratio: 8ft:576in
what is 1:6?
200
Which shapes have perpendicular diagonals
What is a rhombus, square, and kite?
200
Volume of a sphere
What is 4/3pir³?
300
Find the measure of angles A, B, C, D, E, F, and G
What is B = 62, A = 118, C = 118, D = 118, G = 62, E = 62, F = 118?
300
Find the coordinates of the centroid in triangle ABC, where A(-3, -4), B(5, 11), and C(10, -16)
(4, -3)
300
The always similar shapes and the never similar shapes
What are circles, squares, regular shapes, and parabolas
What is nothing
300
Polygon Interior Angles Theorem
What is the sum of the measures of the interior angles of a convex n-gon is (n-2)*180 degrees?
300
The surface area and volume of an octagonal pyramid with height of 15 cm and radius of 5 cm.
What is about 312.74 cm² and 353.55 cm³?
400
Find the values of X, Y, and Z in both i and ii. NO CALCULATORS. The angles are not all congruent so ignore the weird arcs in the angles. To make this more challenging, there is a 45 second time limit then the other team can steal.
i - What is Y = 15, X = 105, Z = 60?
ii - What is Z = 30, Y = 45, X = 75?
400
In triangle ABC, where segment AB = 30, segment AC = 18, and segment BC = 11, list the angles in order from smallest to largest
The sum of the lengths of AC and BC aren’t greater than AB, so it’s not possible to construct a triangle with these side lengths
400
ABC and DEF are two similar triangles. ABC has side lengths 395, 92, and 306. DEF has side lengths 567.536, 132.1856, and X. Find x and the scale factor. (no calculator until there's an answer)
X = 439.6608 Scale factor = 1.4368
400
Most specific name of the quadrilateral (30 seconds)
What is a trapezoid?
400
The surface area and volume of an icosahedral pyramid on top of an icosahedral prism with perfectly intersecting bases. The icosahedral pyramid has a height of 10, and the prism has a height of 30. The prism has a radius of 23.
What is 7143.01 cm² and 54490.00 cm³?
500
Find the value of 0. NO CALCULATORS.
What is 0 = 85?
500
AH is an altitude drawn to hypotenuse CB of right triangle ABC. When CH = 72 in and HB = 24 feet, what is the value of altitude AH?
24sqr3 inches
500
Look at the board --->
Find X and write similarity statements for all three triangles.
X = 4.8
ABD ~ CAD ~ CBA
500
In trapezoid WXYZ, WX is parallel to YZ, and YZ = 4.25 cm. The midsegment of trapezoid WXYZ is 2.75 cm long. Find WX
What is 1.25 cm?
500
The surface area and volume of an ice cream cone with a perfectly spherical cherry on top. The cone has a height of 6 inches, and the vertex angle of the cone is 60 degrees. The scoop of ice cream is a perfect hemisphere, fitting on the base of the cone with no overhang. The diameter of the cherry is 1 inch, and is tangent to the ice cream. The stem of the cherry is a perfect cylinder with a radius of 0.05 and height of 2 inches.
What is about 164 square inches and about 166.66 cubic inches?