Vocab
Dilations
Similarity
Slope
Extra Points
100
Define congruent
EXACT same shape
100
Define scale factor
The number that you multiply the lengths of the figure by to make the figure bigger or smaller
100
What are the only things that ALWAYS stay the same when figures are similar?
angles and shapes
100
y/x or x/y?
y/x
100
Dilate these coordinates by a scale factor 1/3.
A (3, 4)
B (-2,-6)
C (7,-12)
A' (1,4/3)
B' (-2/3, -2)
C' (7/3, -4)
200
Define similar
same shape and angles, CAN be different size
200
What is the center of dilation in this image?
O
200
How many angles in the figure must be the same in the similar version?
ALL 3
200
What is the slope?
6/4 or 3/2
200
What remains the same when we dilate an image?
shape and angles
300
Define a dilation and the two things you need for a dilation
making a shape bigger or smaller
- center of dilation
- scale factor
300
What is the scale factor?
2
300
Are these figures similar? If so, what is the scale factor from ABC to DEF?
3/2
300
Find the slope of this line
4/3
300
b=-6
400
Define slope
Steepness, vertical over horizontal
400
When dilations say that the side lengths need to be "proportional, what does that mean?
They must be multiplied by a number (scale factor) to be similar
400
What methods can we use to find out if two figures are similar?
Ratio
Scale Factor
Proportions to Equation
400
The change in y over the change in x can be written using which Greek Symbols?
400
Ms. Nelson's dogs name?
Pippa
500
Which transformation is a non-rigid transformation?
Dilation
500
Select all the true statements. (3 correct)
Dilations ALWAYS increase the length of line segments.
Dilations take perpendicular lines to perpendicular lines. (hint: think parallel)
Dilations of an angle are congruent to the original angle.
Dilations increase the measure of angles.
Dilations of a triangle are congruent to the original triangle.
Dilations of a triangle are similar to the original triangle.
2. Dilations take perpendicular lines to perpendicular lines. (hint: think parallel)
3. Dilations of an angle are congruent to the original angle.
6. Dilations of a triangle are similar to the original triangle.
500
What are the multiple ways we can tell these figures are similar? Tell me the corresponding sides.
Side lengths have a scale factor, angles are congruent
6-10, 10.8-18, 12.6-21, 14.4-24
500
A student claims the slope is 6/2. True or False and why?
False, the student wrote base over height instead of height over base.
500
How many kids and grandkids does Ms. Nelson have?
6 kids and 3 grandkids