Ratios
Proportions
AA/SSS/SAS
Similarity Statements
Similar?
100

What is a ratio? 

A comparison of two or more quantities that are set up like this:

3:3 

3 to 3

3/3

*Extended ratios are written as a:b:c

100

What is a proportion?

Two fractions set equal to each other.  

100

According to the SAS similarity, what do two triangles need to have in order to be similar? 

What is a pair of congruent included angles and two pairs of proportional sides? 

100

True or false?

A similarity statement must go in alphabetical order

FALSE.

A similarity statement must match the order of both corresponding angles and sides.  That may or may not be in alphabetical order.

100

In what ways can triangles be similar? 

What are the SAS, AA and SSS similarity methods?

200

In the word LUXURIOUS, what is the ratio of vowels to total letters? 

5:9

200

9/54=x/12


Find x

X=2

200

What makes these triangles similar? 

The AA similarity theorem. 

Angle u ~ Angle u 

Angle wxu ~ Angle vtu







200

What is the correct similarity statement? 

NLK ~ NLM

The hypotenuse is congruent, and so are NK and NM

200

Are these triangles similar? 

Yes

300

Find the measurement of each side. 

Side measurements:

55:66:99 -->

5:6:9

5x+6x+9x=220

20x=220

x=11


300

Given two equilateral triangles with sides 16 and 18 respectively.  The scale factor of the larger triangle to the smaller triangle.

What is 9 to 8?

300

Two right triangles have the following angles: Triangle 1 has a 35 degree angle and Triangle 2 has a 55 degree angle.  Are these triangles similar?  If so, how?

Yes, by Angle Angle Similarity method.

300

Triangle ABC is similar to triangle RST.  Complete this staement: Triangle BCA is similar to ...

What is Triangle STR?

300


Are these similar?

What is not similar?

400

The ratio of two complementary angles is 3:7. What is the measure of the smallest angle?

Measurement of smallest angle = 27

3x+7x=90

x=9

*Plug x into smallest number -> 3*9=27

400


Find the perimeter of Triangle DEF

What is 33?




400


What similarity theorem are these triangles similar by? 

These are similar by the SAS similarity. 

400

Given Triangle MNO is similar to Triangle CDE, complete:

Triangle OMN is similar to ....

What is Triangle ECD?

400

Similar? If so, how?


What is yes by SSS similarity?

500

The ratio of the measures of the sides of a triangle is 20:18:14. The perimeter of the triangle is 312. Find the lengths. 

120:108:84

20:18:14

52x=312

x=6

*Plug in x to each number 

500

The value of x:

4 /x = x/ 16

What is x equals 8?

500


These are similar according to the SAS similarity theorem. 

500

Double Jeopardy...place your bet!


Double Jeopardy!!!

Answer C 80 feet


500

What is congruent in similar triangles?


Angles

Click to zoom