Polygons and their Angles
Vertical angles are equal in measure. What theorem is this?
What is Vertical Angles Theorem?
What is the equation of a circle with a center of (13, −13) and a radius of 4?
What is (x − 13)^2 + (y + 13)^2=16?
Name two triangles that have all angles under 90 degrees.
What is acute and equilateral?
A right triangle has one angle that is 45 degrees. What is the measure of the 3rd angle?
An exterior angle or triangle is equal in measure to the sum of the measures of its two remote interior angle measures. What theorem is this?
What is Exterior Angle Theorem?
What is the Standard form of 8x + x^ 2− 2y = 64 − y^2?
What is (x + 4)^2+(y − 1)^2=81?
Which of the following could be the side lengths of a right triangle?
3, 13, and 14
4, 5, and 6
4, 9, and 10
5, 10, and 15
5, 12, and 13
What is 5, 12, and 13?
A quadrilateral has 3 angles measuring 90 degrees, 100 degrees, and 70 degrees. What is the measure of the 4th angle?
What is a quadrilateral with two pairs of opposite sides parallel and all sides the same length? (It does not have 4 right angles)
What is a rhombus?
If two parallel lines are intersected by a traversal than alternate interior angles are equal in measure. What theorem is this?
What is Alternate Interior Angles Theorem?
What is the standard form of a circle with three points on the circle being: (−18, −5), (−7, −16), and (4, −5)?
What is (x + 7) ^2 + (y + 5)^2=121?
In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?
What is 3?
The circumference of a circle is 30. What is its area?
The formula used to find the sum of interior angles in a polygon
What is 180(n-2)?
If two angles are complements of the same angle then they are congruent. What theorem is this?
What is Congruent Complements Theorem?
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
2
Classify triangle MNO if MN = 12, NO = 9 MO = 15.
Scalene
A boat has a sail with one pair of perpendicular lines, and two sides the same length. What kind of triangle is it?
What is Right, Isosceles?
Six angles of a convex octagon is congruent. Each of the two remaining angles is 20 degrees more than one of the other six angles. Find the measure of EACH angle.
130° and 150°
If a line parallel to a side of a triangle intersects the other two sides then it divides those sides proportionally. What theorem is this?
What is Triangle Proportionality Theorem?
Find the center if the endpoints of the diameter are at (-12, -7) and (3, 5).
(-4.5, -1)
The length of the hypotenuse of a right triangle is 40 cm. The size of one of its angles is 45 degrees. What are the exact lengths of the other two sides of the triangle?
What is 20 sqrt(2) cm?
A cylinder has a height of 7 and a radius of 6, what is half the size of the cylinder?
126pi