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Help w/ Proofs
Interior/Exterior Angles
Classifying Polygons
Parallelograms & Trapezoids
Quadrilateral Map
100
This theorem says that the sum of the interior angles of any triangle is always 180˚.
What is Triangle Sum Theorem?
100
The answer is always 360 degrees regardless of the number of sides the polygon has.
What is the SUM of the EXTERIOR angles?
100
A polygon that is equiangular and equilateral.
What is regular?
100
A quadrilateral with exactly one pair of parallel sides & two pairs of base angles.
What is a trapezoid?
100
A concave kite.
What is deltoid?
200
This theorem says an exterior angle of a triangle equals the sum of the two remote interior angles.
What is Exterior Angle Theorem?
200
To find this, the formula is 180(n-2). For example, 180(7-2) = 900 degrees for a heptagon.
What is the SUM of the INTERIOR angles?
200
A polygon with 6 sides.
What is hexagon?
200
The consecutive interior angles of a parallelogram are ___________.
What is supplementary?
200
I have congruent legs, base angles congruent, diagonals congruent, and one pair of parallel sides.
What is Isosceles Trapezoid?
300
The property states that when both sides of an equation have the same number subtracted from them, the remaining expressions are still equal. For example, if a = b, then a - c = b - c OR if a - c = b - c, then a = b.
What is SUBTRACTION Property (of equality)?
300
To find this of an equiangular polygon, you take the sum of the interior angles [180(n-2)] and divide it by the number of sides [n].
What is EACH/ONE interior angle of a regular polygon?
300
Classify the triangle with angles 24 degrees & 58 degrees by its angles and its sides.
What is obtuse (by angles) & scalene (by sides)?
300
Parallelogram LMNO has diagonals that are 26 inches and 14 inches. The diagonals intersect at point P. Find LP and OP.
What is 7 inches & 13 inches?
300
A rhombus with four right angles.
What is a square?
400
The property states if x = y, then y can be substituted for x in any expression. For example: x = 2 and x + 5 = 7, then 2 can be substituted in x + 5 = 7 to obtain 2 + 5 = 7
What is SUBSTITUTION?
400
To find this of an equiangular polygon, you take the sum of the exterior angles and divide it by the number of sides.
What is EACH/ONE exterior angle of a regular polygon?
400
Pentagon ABCDE. Name two consecutive angles to angle C.
What is angle B and D?
400
An isosceles trapezoid has one angle of 109 degrees. Find the angle opposite.
What is 71 degrees?
400
A parallelogram with diagonals that are perpendicular and diagonals that are angle bisectors.
What is a rhombus?
500
This property states if x = y and y = z, then x = z.
What is TRANSITIVE Property?
500
If each interior angle of a regular polygon is 144˚, then how many sides does the polygon have?
n=10
500
If a triangle ABC has congruent angles B and C, then these sides of the triangle must be congruent based on the Isosceles Triangle Theorem.
What is line segment AB and AC?
500
A trapezoid has bases of length 68 cm and 115 cm. Find the midsegment.
What is 91.5 cm?
500
A quadrilateral with diagonals that bisect each other.
What is a parallelogram?