The endpoints of AB have coordinates A(-3,4) and B(5,2). If AB is dilated by a scale factor of 2 centered at (3,5), what are the coordinates of the endpoints of its image, A'B'?
A'(-9,3) and B'(7,-1)
What does it mean when two shapes are similar?
same Proportions, different sizes
What are the two things you need to describe a Dilation?
Scale Factor and Center
How do we write out Pythagorean Theorem?
What day is the Geometry Regents?
Wednesday (6/14)
Directed line segment AB has endpoints whose coordinates are A(-2,5) and B(8,-1). Determine and state the coordinates of P, the point which divides the segment in the ratio 3:2.
P= (4, 1.4)
What are two of the three similarity Theorems
AA Theorem, SSS Theorem, SAS Theorem
I multiply to corresponding sides to help your pre-image become the image. What am I?
Scale Factor
What are the Two special right triangles we know about?
45-45-90 and 30-60-90
A circle is continuously rotated about its diameter. Which three-dimensional object will be formed?
A Sphere
The area of triangle TAP is 36 cm2. A second triangle, JOE, is formed by connecting the midpoints of each side of triangle TAP. What is the area of triangle JOE, in square centimeters?
9
Corresponding angles in similar triangles are what?
Congruent
What do we draw to typically help us find the Center?
Connecting lines
What does x equal? (remember your units)
6 cm
Which polygon does not always have congruent diagonals?
Rhombus
Which Trigonometric Ratio should I use to solve for Angle B?
Cosine (Cos)
Are these two triangles similar? How do you know?
yes, AA Theorem.
Which point is the Center?
Point B
45-45-90 triangles are half of which shape?
Square
If the circumference of a standard lacrosse ball is 19.9 cm, what is the volume of this ball, to the nearest cubic centimeter?
133
Solve for Angle A.
66.4 Degrees (or about 66)
Are these two triangles similar? How do you know?
yes, SAS theorem.
What's the scale factor between these two triangles?
3 or 1/3
30-60-90 Right Triangles are half of which shape?
Equilateral Triangles
A jewelry company makes copper heart pendants. Each heart uses 0.75 in3 of copper and there is 0.323 pounds of copper per cubic inch. If copper costs $3.68 per pound, what is the total cost for 24 copper hearts?
$21.40