The (Ultimate) Geometry Review Sheet Page 8
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15 “If the lengths of two sides of a triangle are unequal, then the larger angle is opposite the longer
side, and vice versa.”
“If the measures of two angles of a triangle are unequal, then the longer side is opposite the larger
angle, and vice versa.”
Some Information and Practice Problems:
A brief review (with diagrams) of the
material in this section.
A listing of these theorems.
More on the Triangle Inequality.
More traditional review problems.
Videos:
A playlist of some videos involving the topics
here. Best to parse through the list first to see what topic you want to focus on.
QUADRILATERALS
*You must be able to apply the properties of all of the special quadrilaterals in algebraic problems as well as
proofs.
1. Properties of Parallelograms
a. 2 pairs of parallel sides
b. 2 pairs of opposite sides congruent
c. 2 pairs of opposite angles congruent
d. consecutive angles are supplementary
e. diagonals bisect each other
f. each diagonal creates 2 congruent triangles
2. Properties of Rhombi
a. All properties of parallelograms
b. Consecutive sides congruent (equilateral quadrilateral)
c. Diagonals are perpendicular
d. Diagonals bisect the angles at each vertex
3. Properties of Rectangles
a. All properties of parallelograms
b. Contains a right angle (equiangular quadrilateral)
c. Diagonals are congruent
4. Properties of Squares
a. All properties of rectangles and rhombi
5. Properties of Trapezoids
a. Only one pair of parallel sides
b. The median of a trapezoid is parallel to both bases and its length is the average of the bases.
6. Properties of Isosceles Trapezoids
a. Non-parallel sides (legs) are congruent
b. Base angles are congruent
c. Diagonals are congruent
d. Opposite angles are supplementary
Video:
Practice:
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