7.1 Dilations
Dilate the triangle 1/3 the distance from the origin. (#1 on the review)
A ( 3, 3), B ( 6, 3), C ( 6, 6)
A' (1, 1)
B' (1, 2)
C' (2, 2)
Determine if the triangles are similar. If so, name the similarity shortcut used (SSS~, SAS~, AA~). Otherwise, write not similar.
(Look at #4 from the review)
Yes the triangles are similar by SSS~.
Who was the mathematician who coined the formula a2 + b2 = c2
Pythagoras
From #11 on the review, find the value of the variable x. Make sure to write any radicals in simplest form.
x = 2 sqrt(30)
Find the value of x for each set of triangles.
(Look at #15 on the review)
x = 16
Dilate the triangle 2 the distance from the origin. (#2 on the review)
A ( 3, 3), B ( 6, 3), C ( 6, 6)
A' (6, 6)
B' (6, 12)
C' (12, 12)
Determine if the triangles are similar. If so, name the similarity shortcut used (SSS~, SAS~, AA~). Otherwise, write not similar.
(Look at #5 from the review)
Yes the triangles are similar by SAS~.
What is the mathematical holiday celebrated on March 14th?
Pi Day
From #11 on the review, find the value of the variable y. Make sure to write any radicals in simplest form.
y = 2 sqrt(21)
Find the value of x for each set of triangles.
(Look at #16 on the review)
x = 9
What is the scale factor of the similar shapes?
(The top left pair of shapes form #3)
Scale factor: 2/3
Determine if the triangles are similar. If so, name the similarity shortcut used (SSS~, SAS~, AA~). Otherwise, write not similar.
(Look at #6 from the review)
Yes the triangles are similar by AA~.
Who is traditionally regarded as the "Father of Geometry" and wrote The Elements?
Euclid
From #12 on the review, find the value of the variable x. Make sure to write any radicals in simplest form.
x = sqrt(10)
Find the value of x for each set of triangles.
(Look at #18 on the review)
x = 15
What is the scale factor of the similar shapes?
(The top right pair of shapes form #3)
Scale Factor: 5/3
Determine if the triangles are similar, then find the length of the stated side.
(Look at #8 on the review)
? = 5
The sequence 1, 1, 2, 3, 5, 8, 13, .... was described by what Italian mathematician in 1202?
Fibonacci
From #12 on the review, find the value of the variable y. Make sure to write any radicals in simplest form.
y = 3 sqrt(30)
Find the value of x for each set of triangles.
(Look at #20 on the review)
x = 3
What is the scale factor of the similar shapes?
(The bottom left pair of shapes form #3)
Scale Factor: 1/6
Determine if the triangles are similar, then find the length of the stated side.
(Look at #9 on the review)
FG = 2.8
What ancient sivilization is credited with developing a base-60 number system?
From #13 on the review, find the value of the variable x. Make sure to write any radicals in simplest form.
x = 10.66667
DE is the midsegment of each triangle. Find the value of x.
(Look at #22 on the review)
x = 13