Download Day 2. Pretest Review

Pretest Review (Day 2)
Reviewing skills needed to succeed in
Geometry.
Agenda
 1. Warm Up
 2. Review Homework
 3. Review for Pretest (Day 2) #1-13.
Homework
Please get out your agenda and record tonight’s
homework.
Homework:
 1. “Geometry –Review for PreTest” #15-26.
 2. Parent Signature on Course Expectations.
 3. REMINDER: PreTest is Monday, September 15.
Learning Objectives
Objectives
1. Identify and/or recognize: points, lines, segments, rays.
2. Identify special pairs of angles.
3. Find area and perimeter of a triangle.
4. Find the area and circumference of a circle.
Warm Up
The Coordinate Plane:
 Has 4 quadrants
 The origin is at (0,0)
 Coordinates are (x, y). x is horizontal coordinate, y is
vertical coordinate
Perimeter, Area, and
Circumference
 Perimeter: The sum of the lengths of the sides of a
polygon (called circumference for circles)
 Units of measurement: in, yds, ft, miles, meters,
etc…
 Area: The number of square units a polygon encloses
 Units of measurement: in2, cm2, mi2, etc…
Triangle:
Area =
1
bh
2
h
b
Pythagorean Theorem
 Used to find the missing side length of a right triangle.
 MUST be used on a right triangle
 c is the hypotenuse, a and b are the legs of the
right triangle
2
a
+
2
b
=
2
c
Circle:
 Radius: r
 Diameter: d =2r
 Circumference:
r
 Area:
d
Let’s Practice!
 Try Problems #1-5 with the person next to you.
 I will select some of you to put your answers on
the board. Be ready!
Solving a System of Equations
with 2 variables:
 Example:
Solve for x and y.
y = 3x - 5
4x - 3y = -35
 Since y is isolated in equation 1, we can use the substitution
method.
 Substitute 3x-5 from the first equation in for y in the second.
 Then solve for x.
 Use this value to find y.
Solving a System of
Equations with 2 variables:
 Now, it’s your turn!
 Try #7 on your classwork. Check your
answer with the person behind you.
Simplifying Radicals
 A radical is in simplest form when the number under the
radical sign has no perfect square factors other than 1.
 Example:
1.
Try these:
2.
3.
Solving Quadratic Equations
using the Square Root Method
 1. Isolate the
term.
 2. Take the square root of both sides.
 3. Don’t forget the +/-
Example:
1. Solve for x.
Why?
Let’s Practice!
 Complete #6-10 and #12 on the classwork.
Be prepared to present and explain how you
got your answers.
Vocabulary
Line:
 A series of points that extends in 2 opposite
directions without end
 Can name a line by any two points on the line
with a line above it, or by a single lower case
letter.
(Please note: In Geometry, it is important to use
the correct notations!!)
Use the following image to answer the question.
1.
Name a line.
Examples :
AB, EF , CB, etc.
Vocabulary
 Segment: part of the line consisting of 2 endpoints and
all the points between them
 How you name a segment: Use the 2 endpoints with a
straight line above.
 Ray: part of a line consisting of one endpoint and all the
points of the line on one side of the endpoint
 How you name a ray: Endpoint must be first, then any
other point on the ray; write an arrow pointing to the
right above
Examples:
1.
2.
A
B
A
B
AB
or
AB
or
BA
AC
Read “segment AB” or “segment
BA”
Read “Ray AB” or “Ray AC”.
DO NOT write Ray BA or Ray CA.
Must name endpoint first!!
C
Angles:
 Complementary 2 angles that add up to 90˚
 Supplementary: 2 angles that add up to 180˚
 All straight angles form a line, therefore measure 180˚
Triangles:
Let’s Practice.
 Complete #11 and #13 on your classwork.
Compare your answer with the person to
your right. Be prepared to explain your
answer to the class.
 Don’t forget to use the proper notation!
Nice work, Mathletes!