Geometry Basics
When triangle NED is congruent to triangle RWO, this is the angle that corresponds to angle WRO.
What is angle END?
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 snd 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)
Two of the three things listed below occur when a line bisects the vertex angle of an isosceles triangle. Which does NOT? 1) the line is a perpendicular bisector of the base, 2) the line is also a vertex, 3) the line is a line of symmetry for the triangle
What is #2
The meaning of CPCTC
What is Corresponding Parts of Congruent Triangles are Congruent?
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?
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? or What is the Pythagorean theorem?
The x that makes this equation true sin(x)=cos(25)
What is 65?
This is the distance between (-9, 3) and (1, -5)
What is the square root of 164? (about 12.8)
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)
TWO PARTS: a) What a regular polygon is, b) The measure of one interior angle of a 5 sides regular polygon
a) What is a polygon where all sides are equal and all interior angles are equal?, b) What is 72 degrees?
The volume of a triangular pyramid with height of 36 inches whose base is a right triangle with dimensions of 6 in, 8 in and 10 in
What is a volume of 288 cu. inches? area of base (the right triangle) is 1/2(6•8) or 24, 3. volume is 1/3(area of base)(height) = 1/3(24)(36)
A central angle of a circle measures 230° and its radius is 6 cm. What is the length of the arc intercepted by the angle?
24.08 cm
The sum of opposite angles in a cyclic quadrilateral?
What is 180 degrees?
This sequence of transformations is create by the rule (x+6, -y).
What is translate right 6 units and reflect over the x-axis?
TWO PARTS: a) this was how pi was "discovered" by ancient mathematicians
b) the Greek mathematician who wrote down the basics of the geometry we learn today
a) What is circumference of a circle divided by it's diameter?, b) Who is Euclid?
There is a zip line from the top of the Empire State Building to a point on the ground 1867.6 meters away from the base of the Empire State Building with a 22 degree angle of elevation. How long is the zip line?
1367.15 meters
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?
You have a bag of 17 marbles. Four are blue, 6 are green, 2 are red, and the others are yellow. What is the probability of drawing a green marble, putting it aside, and then drawing another green marble?