Shapes
The edge of Lester's rubix cube measures √6. How long is the diagonal of the cube?
√6
What are vertical angles?
Opposite angles formed by two intersecting lines.
Find 2 points on the line y=2 that are 9 units away from (3,-6).
(3,2+√17) and (3,2-√17)
Quadratic formula
√(x2-x1)2 + (y2-y1)2
TVWX is an iscosceles trapezoid. TX = 6, VW = 16, and angle V is 30. Find TZ and TV.
https://docs.google.com/document/d/1uhSscF3U2uZ0f1cuQMzLHhkYLugJq2ZvI7jgPfnjIk0/edit
TZ = 3√3 / 3
TV = 10√3 / 3
90 degrees counterclockwise
(x, y) to (-y, x)
Let A = (-1,4) and B = (5,8). Find, in slope intercept form, the equation for the perpendicular bisector of AB.
y = 3/2x +9
Oh no! A bug is on my math paper! I don't know how to get rid of it. It is right at the coordinates (2,-3). Then, after a little while another bug comes along. Bug #1 asks bug #2, "Can you translate me to (7,-5)" "Sure," replies bug #2. What is the vector that is being used to move bug #1?
(5,-2)
The length of the altitude drawn from AB to CD measures 3√6. If the measure of angle A is 45, and the length of CD is 12, then what is the perimeter of the trapezoid?
https://docs.google.com/document/d/1T9tOQUsR9wlmOHNmgysS18-StjuVEbWVj4g0xIAFLvs/edit
12√2 + 6√6 + 24
Point slope form
y-y1 = m(x-x1)
In a dream, Shari is confined to a coordinate plane. Shari's position at 2am is (4,6) and at 4am she is at (1,7). What is her position at 5:45 when she wakes up to go on a run?
(-1.625, 7.875)
Find the span of a regular hexagon if one of the sides is equal to 10.
10√3
One of the legs of a right triangle is 3 times the other leg. The perimeter is 12. Find each of the lengths of the sides and round to three decimal points.
5.026, 1.675, 5.298
State the converse, inverse, and contrapositive of the statement: If a quadrilateral is a rectangle, then it has two pairs of parallel sides. Is the statement biconditional?
Converse - If it has two pairs of parallel sides, then the quadrilateral is a rectangle.
Inverse - If a quadrilateral is not a rectangle, then it does not have 2 pairs of parallel sides.
Contraposititve - If it does not have two pairs of parallel sides, then the quadrilateral is not a rectangle.
Biconditional - NO
Find 2 points on the x axis that are 11 units away from (2,5).
(2-4√6,0) and (2+4√6,0)
The sides of an isosceles trapezoid have lengths of 3in, 15in, 21in, and 5in. Make a diagram and show that the diagonals intersect perpendicularly.
The lengths of the diagonals of a rhombus have a ratio of 2:1. If the perimeter is 20cm, what is the sum of the diagonals? (in simplest radical form).
6√5 cm
State the law of syllogism, law of detachment, and the law of contrapositive by using the letters A and B.
Syllogism: a->b and b->c then a->c
Detachment: a->b and a is true, then b is true
Contrapositive: a->b then notb->nota
If A=(1,4) B=(6,6) and C=(3,10), where C is at the top of the triangle, determine the equation of the line parallel to AC and goes through B, in point-slope form.
y-6=3(x-6)
The perimeter of a 30 60 90 triangle is 12√3. What is the measure of the shortest side?
6√3 - 6