What theorem concludes that segments are parallel?
Converse of the Triangle Proportionality Theorem
100
Write down the three ways to represent a ratio of x and y
x to y
x:y
x/y
100
If two rectangles are similar and one has side lengths of 4 and 3, and the other has side lengths of 12 and 16; what is the similarity ratio?
4:1 or 1:4
100
What is a dilation?
a transformation that makes a shape larger or smaller
100
In a problem that includes a scale drawing or replica, what is always one of your ratios in the proportion?
The scale!
200
Look at SLIDE 6 and answer the question..
Lines EF and BC must be parallel.
200
Describe the similarities and differences between a ratio and a proportion.
Both include ratios (fractions)
Ratio is only one, proportion is two ratios equal to each other.
200
For two figures to be similar, the side lengths must be ____________ and the angles must be _______________.
sides must be proportional, angles must be congruent
200
By just looking at the scale factor, how can you tell if the dilation is going to make a bigger or smaller figure?
Scale factor larger than 1 = bigger
Scale factor between 0 and 1 = smaller
200
In SLIDE 12, if you were solving for the missing length what would your first step be?
converting the ft/in into inches.
300
Look at SLIDE 7, set up an accurate proportion based off of the picture.
AD/AB=CD/CB
AD/CD=AB/CB
300
Given that two points on line m are C(-2, 3) and D(6,5), write a ratio expressing the slope of m.
1/4
300
Name and describe all the shortcuts that can be used to show two triangles are similar.
AA - two sets of corresponding angles are congruent.
SAS - two sets of sides are proportional and the included angles are congruent.
SSS - all corresponding sides are proportional.
300
Write down the new coordinates for triangle ABC with points A(0,3); B(3,6); C(6,0) after a dilation with scale factor 2/3
A'(0,2)
B'(2,4)
C'(4,0)
300
The statue of liberty holds a tablet that is 7.19 m long and 4.14 m wide. If you made a scale drawing using the scale of 1cm:0.75 m, what would the dimensions be on the scale drawing, to the nearest tenth?
w=5.5 cm
l = 9.6 cm
400
Go to SLIDE 8 and solve the problem.
PS=28
SR=35
400
Go to SLIDE 4 and solve the proportion.
y=3
400
Go to SLIDE 2 and explain why the two figures are similar.
AA
400
Go to SLIDE 13 and answer the question.
U(0,12)
400
Go to SLIDE 11 and solve for the height of the building.
48ft 9in
500
Go to SLIDE 9 and solve the problem.
LN=3.9
500
Go to SLIDE 5 and solve the proportion.
+/- 3
500
Go to SLIDE 3, explain why the figures are similar and find the missing length.
RT=15
500
Go to SLIDE 14 and find the new coordinates.
M'(.5, 1)
N'(1,2)
P'(2.5,1)
500
Find the perimeter and area of rectangle RSTU on SLIDE 10, given that rectangle MNQP is similar to rectangle RSTU