Tangent of an Angle Notes
Geometry (CP)
Writing sides and angles:
Angle names are written with capital letters, sides opposite the angles are named with
small letters.
A
b
C
c
a
B
In two similar right triangles, the ratio of sides are equal (In two simila
Geometry - Topics for Final Exam, 2014
Chapter 7: Triangle lnegualities
Exterior Angle Theorem
inequalities within a triangle
Triangle inequality Theorem
Chapter 8: Quadrilaterals
Identify a quadrilateral and its parts
Sum of the angles of a quadrilateral
Proportions Notes
Geometry (CP)
Ratio: is the quotient of two numbers
Compare two quantities with the same units
Ratios have no units
a
or a : b tells you the ratio of a to b.
b
Rate: compares two quantities with different units (such as 55 miles / 1 ho
Quadrilaterals vs. Triangles Quiz Notes
Angles of quadrilaterals can change, even when the side lengths remain the same
Triangles are rigid once the side lengths are chosen
THEOREM
If 2 angles of one triangle are congruent to 2 angles of another triangle,
NAIviE: - ' . .' Mods: -
Geometry (CP) ReView_ .l-t7 _' '"
I. To use the SSS Triangle Congruence Theorem to prove aDEF gaMNO, you must
showthat Es - ,- g , FE .
,3 ' 1.
2. To use the SAS Triangle Congruence Theorem for :
ll?
you could Show that AY E
10-3: Fundamental Properties of Volume
Geometry (CP)
Volume measures how much a figure will hold - its capacity.
Volume is measures in units3 - a cube whose sides are all 1 unit in length (they
may all be 1 inch in length, which is a cubic inch.)
Think of
10-1: Surface Areas of Prisms & Cylinders
Geometry (CP)
2D
3D
What is it?
Perimeter
Surface Area
a measure of a boundary
Area
Volume
measures the space enclosed by the boundary
surface area (S.A.) tells you how much material you need to make an object.
Fi
Ch 3 Cumulative Review
1.
In the space below, draw a pair of adjacent supplementary angles.
In 2 and 3, use the figure to the right.
2.
If m POT = 149, then mSOR = _
3.
Suppose that m TOR = (11k + 1) and mPOS = k + 26.
a. k = _
b. mTOR = _
c. mPOT = _
4.
10-8 & 10-9: Volume & SA of a Sphere
Volume of a sphere with radius r:
Geometry (CP)
4
V Bh . A sphere has no base, so we replace the B
3
4 2
with the area of a circle and get V r h . But in a sphere, its height is also its radius.
3
V 4 r3
3
Surface Area
10-5: Volumes of Prisms & Cylinders
V = Bh
Geometry (CP)
where B is the area of the base.
Consider a box. You know v lwh . But lw is the area of the base, called B. So the
same formula applies to prisms (including boxes) and to cylinders (anything with 2