Ratios
Proportions
AA/SSS/SAS
True or False
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?
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
A similarity statement must ONLY match corresponding angles.
FALSE.
A similarity statement must match both corresponding angles and sides.
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
if Two triangles are similar then their corresponding sides are congruent
False, corresponding sides are proportionally equal in similar triangles
200
Are these triangles similar?
Yes by AA
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. These triangles are similar based on...
What is the Angle Angle Similarity method?
300
Triangle ABC is similar to triangle RST. Complete this staement: Triangle BCA is similar to SRT
False Triangle BCA similar to STR
300
Are these similar?
What is yes, by SSS similarity?
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
A triangle with sides 3,5,7 is similar to triangle with sides 4.5, 7.5, 10.5
True, Scale factor 3/2 or 1.5
400
Similar?
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
Yes similar, by SAS similarity theorem.
500
The Triangles KNL and MNL are Similar
True, they are congruent by HL, hence they are similar
500
Double Jeopardy...place your bet!
Double Jeopardy!!!
Answer C 80 feet