Show:
Similar Polygons
Similar Triangles
Right Triangles
Proportions
General Review
100
What is congruent in similar polygons?
Angles
100

What is the ratio of corresponding sides called in similar triangles?

Scale Factor

100
What is the altitude of a triangle?
The perpendicular line that connects one side of a triangle to a vertex. Visuals encouraged.
100

A car travels 150 miles in 3 hours. How many miles will it travel in 5 hours if it maintains the same speed?

250 Miles

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 corresponding sides of 4 inches and 2 inches and the included angles are congruent can you conclude that the triangles are congruent?Why?

Yes, because corresponding sides will have the same scale factor and all corresponding angles are congruent

200
What is a hypotenuse?
The side across from a right angle in a right triangle.
200

If 3 apples cost $1.50, how much will 7 apples cost?

$3.50

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

In a 30-60-90 triangle, if the shorter leg is 5 units, the length of the hypotenuse is this many units.

10
300

A recipe calls for 2 cups of sugar for every 5 cups of flour. How much sugar is needed for 15 cups of flour?

6 cups

300

What is Perraut's Middle Name?

Elizabeth

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

What must be true when naming vertices in triangles?

They must all have a different name.

400

A map has a scale of 1 inch = 20 miles. If two cities are 3.5 inches apart on the map, how far apart are they in real life?

70 Miles

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

If 4 workers can paint 8 walls in 2 days, how many walls can 6 workers paint in the same amount of time?

12 Walls

500
Write the equation for a line parallel to y = 2x + 8
y = 2x + ____