What are the three ways you can prove triangles similar?
AA~, SAS~, SSS~
100
What is the altitude of a triangle?
The perpendicular line that connects one side of a triangle to a vertex. Visuals encouraged.
100
What type of line is added to a triangle to make the side splitter theorem work?
A line parallel to a side of the triangle.
100
Where do you see similar shapes in real life?
Answers vary.
200
How would you describe the relationship between corresponding sides of similar figures?
Proportional.
200
If one triangle has sides of 8 inches and 4 inches and another triangle has sides of 4 inches and 2 inches and the included angles are congruent can you conclude that the triangles are congruent?
Yes, by SAS~
200
What is a hypotenuse?
The side across from a right angle in a right triangle.
200
If a triangle has the top left segment of 12 units, the bottom left is 15 units, and the top right is 9 units, what is the length of the final segment?
11.25 units.
200
In parallel lines cut by a transversal what types of angles are congruent?
Corresponding, Alternate interior, and alternate exterior.
300
Draw a pair of similar trapezoids.
All angles must be congruent to the corresponding angle and sides are proportional.
300
Why do you only need two angles to prove triangles similar?
The third angle theorem proves that the third angles would also be congruent.
300
Solve (5 + x) / 10 = 10/5
x = 15
300
What theorem proves the two triangles similar that are created by the side splitter theorem?
AA~
300
Who is the Geometry student most likely to end up in TK's office....?
Sam ..... visiting E of course...
400
If triangle ABC is similar to triangle XYZ, list the congruent parts and the proportional parts.
Angle A is congruent to angle X
Angle B is congruent to angle Y
Angle c is congruent to angle Z
AB is proportional to XY
BC is proportional to YZ
CA is proportional to ZY
400
The first triangle has sides of 6, 8, and 10. The second triangle has sides of 3, 4, and 6. The third triangle has sides of 9, 12, and 15. Which triangles are similar?
The first and third.
400
Solve problem 20 on page 482
5.9 or sqrt(35)
400
Do problem 26 on page 482
12
400
How do find the slope?
Rise over run.
500
Why are all squares similar to each other?
Because by definition the angles are all right and therefore congruent and there is only one side length in a square so it is always the scale factor.
500
A 3 foot vertical post casts a 24 inch shadow at the same time a pine tree casts a 30 foot shadow. How tall is the pine tree?
45 feet
500
How do you find the third side of a right triangle?
Pythagorean Theorem. a^2 + b^2 = c^2
500
Where in real life might the side splitter theorem be useful?
City planning with parallel roads.
500
Write the equation for a line parallel to y = 2x + 8