Pythagorean Theorem
Name a Pythagorean Triple.
What is...
3,4,5
5,12,13
7,24,25
What is the distance formula?
SQRT(x1-x2)2+(y1-y2)2
Define similar triangles.
What is...
Same shape, different size.
Angles are congruent, sides are proportional.
Point A(-9,-5) and Point C(-5,-9). Point B is located 1/2 the distance from A to C. What are the coordinates of Point B?
What is (-7,-7)?
Solve for b. Round to the nearest tenth.
32+b2=92
What is 8.5?
Plot points A(-3,4), B(1,4), and C(1,-2). What is mBC?
What is 6 units?
Triangle ABC ~ Triangle XYZ. If mAB=3, mBC=8, and mXY=9, find mYZ.
What is 24?
Point A(0,0) and Point C(9,6). Point B is located 1/3 the distance from A to C. What are the coordinates of Point B?
What is (3,2)?
Solve for c.
62+82=c2
What is 10?
Point A(-5,-4) and Point B(7,8).
Find the midpoint of segment AB.
What is (1,2)?
Draw a diagram of two similar triangles.
Multiple possible answers.
Can the lengths 14, 48, 50 make a right triangle? Explain your answer.
Yes, they are a Pythagorean Triple.
Point A(-1,-4) and Point B(3,7).
Find the midpoint of segment AB.
What is (1,1.5)?
Triangle ABC ~ Triangle XYZ. If mAB=2, mBC=5, mXY=8, and mYZ=20. What is the scale factor?
What is 4?
Use the Pythagorean Theorem to find the length of line segment AB. Point A (-2,8) and Point B (4,-1). Round to the nearest tenth.
Hint: Plot the points on your paper/whiteboard, then create a right triangle.
What is 10.8?
Plot points A(-3,4), B(1,4), and C(1,-2) and connect the points to make a right triangle. Use the distance formula to find side AC. Round to the nearest tenth.
What is 7.2?
Triangle ABC has sides 3,4,5.
Triangle XYZ has sides 5,10,15.
Are they similar? Why or why not?
No, they don't have a consistent scale factor.