2ND 6 WEEKS REVIEW, Pythagorean Theorem, CATEGORY 1, 2, AND 3, TRANSLATING EXPRESSIONS, Write Mathematical Expressions
200 feet; make a table and find the y intercept
A submarine is below sea level. The submarine starts to descend farther below the surface. The depths of the submarine from sea level for Minutes 2, 4, 6, and 8 are 230 feet, 260 feet, 290 feet, and 320 feet, respectively. What was the initial depth of the submarine before this descent? Assume that the relationship between the two quantities is linear.
B
AREA OF THE BASE
right angle
An angle that measures 90 degrees
PERIMETER
CM
AREA
CM^2
SURFACE AREA
COVER
Yes, the small squares add to the biggest square.
Can 18, 24, and 30 make a right triangle?
No, the triangle will not be a right triangle. The small squares do not add to the biggest square.
Can 8, 72 and 75 make a right triangle?
croc = 2
Determine whether the relationship between the two quantities shown is linear. If so determine the constant rate of change.
croc = 30
Determine whether the relationship between the two quantities shown is linear. If so determine the constant rate of change.
58; extend the line to the y intercept
Ella checks out a book from the library. She does not read any pages that day. Starting the next day, she reads the same number of pages each day. The graph shows the number of pages Ella has left to read to finish the book. Determine the number of pages in the book. Assume that the relationship between the two quantities is linear.
VOLUME
FILL
130 degrees; alternate exterior angles are congruent
Find angle 1 if angle 8 is 130 degrees.
12
Find b: a=5 b=? c=13
The side opposite the right angle
Hypotenuse
c, and the longest side of a right triangle
Hypotenuse
60
If angle 2 is 60 degrees, than what is angle 6?
140 degrees; angle 3 and 5 are same side interior angles which equal 180 degrees
If angle 3 is 40 degrees, then what is angle 5?
80 degrees; 150 - 70 = 80
If the exterior angle is 150 degrees and angle x is 70 degrees, then what angle y equal to?
The function is non-proportional: 3/1 not equal 5/2 not equal 7/3
Is the table proportional or non proportional?
No
Is this a right triangle: a=4, b=6, c=9
yes
Is this a right triangle: a=5 b=12 c=13
labeled a and b, the other two sides of the right triangle
Leg
Sides that are adjacent (same vertex, share a common side) the right angle. There are two.
Legs
not a function; -1 is the cheater
Not a Function or function
leg
One side of a right triangle that forms the right angle.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, and 144 are examples of _________________
Perfect square numbers
Greek philosopher, 570-495 BC. There is no evidence that Pythagoras himself worked on or proved the Pythagorean Theorem, which was used previously by Babylonians and Indians.
Pythagoras
the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Pythagorean Theorem
A right triangle (with a 90 degree angle) is composed of two legs and a hypotenuse (side opposite the right angle).
Pythagorean Theorem Definition
A triangle that has one right angle (90 degrees) with 2 legs, and one hypotenuse.
Right Triangle
a triangle where one angle is guaranteed to be 90 degrees.
Right Triangle
c = 6.5t; keyword each, make 6.5 the slope(m)
Student tickets for the school play cost $6.50 each. Write an equation that can be used to find the total cost c of any number of student tickets t.
Perimeter
The distance around a shape.
RADIUS
The distance from the center of a circle to any point on the circle
The slope represents $5, the cost per hour renting roller skates; the y-intercept, $10, represents the entrance fee to the skate park.
The entrance fee to the skate park is $10. Renting roller skates is $5 per hour. The total cost for roller skating x hours can be represented by the equation is y = 5x + 10. Interpret the slope and y-intercept.
Area
The number of squares inside the shape
Pythagorean Theorem
The squares of the legs add to the square of the hypotenuse.
The rate of change is $7.50; and the initial value is $20
The table shows the cost of working at home per hour. Find and interpret the rate of change and initial value.
h = 1.5d
The table shows the number of hours of video games Raul plays per day. Write an equation to find the total hours of video games played by Raul in any number of days.
Perfect square numbers
These numbers can make squares.
The area is 100
What is the area of a square with side length 10?
The area is 10
What is the area of a square with side length √10?
y = -4/5x + 3
What is the equation of this line in slope-intercept form?
y = 3x + 2
What is the equation of this line in slope-intercept form?
The exact side length is 10
What is the exact side length of a square with area 100?
130 degrees; 70 + 60 = 130
What is the measurement of angle x?
3/2
What is the slope of these 2 points? P( 2, 3) and Q (4, 6)
12
Which side length would be considered c? 9,12,10
Yes
Would these sides form a right triangle? 24, 25, 7
No
Would these sides form a right triangle? 50, 70, 50
Yes
Would these three sides form a right angle 8, 15, 17
yes
Would these three sides form a right angle 8, 15, 17
y = 2x + 1
Write an equation in slope-intercept form for the table.
y = 3/2x -4
Write the equation of the line shown in the graph.
right triangle
a triangle with one right angle
23.4
a=18, b=15, c=?
5
a=3 b=4 c=?
10
a=6 b=8 c=?
69.3
a=65, b=?, c=95
25
a=7 b=24 c=?
60
a=80, c=100, b=?
73.3
b=95, c=120, a=?
Hypotenuse
c, and the longest side of a right triangle, opposite the right angle
10
c=26, a=24, b=?
function; each x has exactly one partner (no cheating)
function or not a function
function
function or not a function?
The longest side of a right triangle. It is always opposite of, and never is a part of, the right angle.
hypotenuse
Math operations that reverse the effect of each other.
inverse operations
Leg
labeled a and b, the two sides of the right triangle that join to form the right angle
Either of the two shortest sides of a right triangle, they meet at a common vertex to form a right angle.
leg
Approximate
not exact, but close
Exact
perfect
A square with a whole number root.
perfect square
NON PROPORTIONAL; HAS Y INTERCEPT(0,1), 3/1 not equal 5/2 not equal 7/3
proportional or non proportional
non proportional
proportional or non proportional
proportional
proportional or non proportional
proportional; GOES THROUGH THE ORIGIN
proportional or non proportional
The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
pythagorean theorem
An angle of exactly 90 degrees.
right angle
A triangle that contains a right angle.
right triangle
y = 2x - 7
slope: 2; y intercept: -7
The result of multiplying a number by itself.
square
hypotenuse
the longest side of a right triangle, across from the right angle.
