COORDINATE SYSTEMS
PYTHAGOREAN THEOREM
MEASUREMENT/TRANSFORMATIONS
COORDINATE SYSTEMS
PYTHAGOREAN THEOREM
100
WHAT IS A PARALLELOGRAM?
A QUADRILATERAL WITH OPPOSITE SIDE PARALLEL AND CONGRUENT
100
Glenn is adding a toy room to his house. The blueprints indicate that the room should be a rectangle with dimensions of 9 yd wide by 12 yd long. Glenn wants to make sure the room is a perfect rectangle before he starts putting up the drywall. To do this, he measures the diagonals of the room, which should be the same length. How long should each diagonal be?
15 yd.
100
Which of the following transformations will always produce a congruent figure?
REFLECTION
100
Plot and connect the points A(4,2), B(-3,2), C(-3,5), D(4,5), and find the length of AB.
7 units
100
Two people leave work at the same time; Sarah is heading due north and Beth is heading due east. One hour later they are 5 miles apart. If Sarah had traveled 4 miles from work, how many miles had Beth traveled?
3 MILES
200
What is A RECTANGLE?
HAS OPPOSITE SIDES THAT ARE CONGRUENT AND FOUR RIGHT ANGLES
200
Two people leave work at the same time; Sarah is heading due north and Beth is heading due east. One hour later they are 5 miles apart. If Sarah had traveled 4 miles from work, how many miles had Beth traveled?
3 miles
200
Polygon ABCDEF is a regular polygon. If point O is located at the center of the polygon, what degree of rotation about point O will carry the polygon onto itself?
Since the polygon has six vertices, it also has six sides. So, the polygon is a regular hexagon. To find the minimum degree of rotation about the center point of a regular polygon that will carry it onto itself, divide 360° by the number of sides. Any degree of rotation about point O that is a multiple of 60° will transform the polygon onto itself. This includes rotations of 60°, 300°, 360°, and 720°.
200
Plot and connect the points A(2,5), B(6,1), C(-4,1), and find the area of the triangle it forms.
20 square units
200
The contractor has a 25 foot ladder. In order to reach 18 feet up a building, how far away from the building should the foot of the ladder be placed?
30 feet
300
WHAT IS A SQUARE?
A SQUARE HAS 4 CONGRUENT SIDES OR SIDES THAT ARE ALL THE SAME LENGTH
300
a = square root of 14cm b = square root of 20cm What is the length of c? Apply the Pythagorean Theorem
Square root of 34cm
300
P(2,2) P'(2,-2) Q(6,4) Q'(6,-4) Given the points above, which of the following transformations maps PQ to P'Q'?
reflection across the x-axis
300
Pretend you are to draw a quadrilateral on the coordinate plane above. Its vertices are (-1, -4), (2, -4), (3, -2), and (6, -2). What type of quadrilateral is it?
RECTANGLE
300
Andrew is adding a toy room to his house. The blueprints indicate that the room should be a rectangle with dimensions of 10 yd wide by 16 yd long. Andrew wants to make sure the room is a perfect rectangle before he starts putting up the drywall. To do this, he measures the diagonals of the room, which should be the same length. How long should each diagonal be? Round to the nearest whole number.
approximately 19 yards
400
What is the distance between the points (-2, -5) and (1, -1)?
5 UNITS
400
a = 28cm b = 45cm What is the length of c?
53 cm
400
How many liters are in 2 gallons? 1 quart = 0.946 liters
7.568 liters
400
MIDPOINT M IS LOCATED AT (-4, 1) AND N IS LOCATED AT (6, -3). FIND THE MIDPOINT OF LINE SEGMENT MN. USE x1 + x2/2 and y1 + y2/2 to get MIDPOINT
(1, -1)
400
a = 10 cm b = 9 cm c = ? Use the Pythagorean Theorem to find the hypotenuse. Round the the whole number
13 cm
500
Pretend you are asked to draw a parallelogram on the coordinate plane shown above. Three of its vertices are (-3, -6), (2, -4), and (-3, -2). Which of the following is the coordinate of the fourth vertex?
(2, 0)
500
c = 25cm a = 7cm What is the length of leg or side b?
24cm
500
If 1,000 milliliters (mL) of water weighs 1 kilogram (kg), and there are 1,000 milliliters per liter, then about how many kilograms would the water in a 175-liter tank of water weigh?
175 kg
500
What is the distance between the points (-4, -3) and (2, 5)?
10
500
Define hypotenuse
The longest side of a right triangle, opposite the right angle.
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