Pythagorean Theorem
What is the equation for solving right triangles with Pythagorean theorem?
a2 +b2 = c2
The length of the shorter leg of a 30°-60°-90° triangle is 3. What is the length of the hypotenuse?
6
(2,3)--->(4,6) What is the scale Factor?
What is 2?
Given the scale factor 0.5, what are the new points? A (4,8) A' (_____) B (-2,-12) B' (_____) C (6,-10) C' (_____)
A' (2,4) B' (-1,-6) C' (3,-5)
Dilate points (1,2) with a scale factor of 2
(2,4)
Calculate the scale factor. A triangle with a side length of 10 is dilated to a side length of 30
3
The length of one leg of a right triangle is 1 and the length of the hypotenuse is the square root of 50. What is the length of the other leg?
7
The length of the longer leg of a 30°-60°-90° triangle is root108. What is the length of the shorter leg?
6
(3,4) has a sale factor of 5, what is the points of the new figure?
What is (15,20)?
What are the new coordinates if the scale factor is 1.5? A (4,5) A'(____) B (6,9) B'(____) C (1,1 )
A'=(6, 7.5) B'= (9,13.5 ) C'=(1.5,1.5)
Dilate (2,4) with a scale factor of 1/2
(1,2)
Calculate the scale factor. A triangle with a side length of 25 is dilated to a side length of5
1/5
With side lengths 6.5, 7.1, and a hypotenuse of 11.2, does this figure form a right triangle?
What is no
The length of one leg of a 45°-45°-90° triangle is root3. What is the length of the hypotenuse?
What is root6
(20,15) has a scale factor of 1/5, what are the points of the new figure?
What is (4,3)?
What are the new coordinates if the scale factor is 1.3? A. (6,3)
A' (7.8, 3.9)
Dilate (3,6) with a scale factor of 4
(12,24)
Calculate the scale factor. A triangle with a side length of 44 is dilated to a side length of 8
2/11
What is the value of the short leg with a hypotenuse of square root 58 and a long side of 3?
What is 7?
The long leg of a 30-60-90 triangle is 10. What are the lengths of the short leg and the hypotenuse?
Short leg: 10root3over3 Hypotenuse: 20root3over3
(2,10)---->(5,25) What is the scale factor?
What is 2.5?
Given the scale factor 2/3, what are the new points?
A. (2,3) A'.( , )
B. (-1,-5) B'. ( , )
A' (4/3,2) B' (-2/3, -10/3)
Dilate points (4,8) with a scale factor of 4.5
(18,36)
Calculate the scale factor. A triangle with an ordered pair of ( 4, -2 ) dilated to an ordered paid ( 20, -10 )
5
The sides of a triangle are x, 5, and 20. The longest side is 20. What is the value of x?
What is 20.6?
A 30-60-90 triangle has a longer leg with measure 8. What is the measure of the hypotenuse?
What is 16squareroot3/3?
(25,50)--->(5,10) What is the scale factor?
What is 1/5?
A rectangle with the side lengths of 7 and 9 has a scale factor of 2. What is the new perimeter ?
P= 64
Dilate points (6,8) with a scale factor of 4.3
(25.8,34.4)
Calculate the scale factor. A triangle with an ordered pair of ( -12, 24 ) dilated to an ordered paid ( -2, 4 )
1/6