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