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
Define center of dilation
Point the figure dilates off of
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
How does slope connect to dilation?
Similar/dilations are similar triangles, and therefore have the same slope on a graph
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
When making equations from slopes, what variable (letter) are we solving for if we go further?
y
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 a figure is similar? (think materials or graphs or parts of a figure)
side lengths, rulers, parchment paper, units on a graph
400
If we do not have a "triangle" under the line, how can we find slope?
Find two points that intersect coordinates and count vertical length and horizontal length
400
Ms. Cyga's dogs name?
Gino :)
500
Define scale copies
Dilated copies of a figure
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
If two triangles are made from the same line on a graph, what we can determine about those triangles and the slope?
Similar triangles, same slope
500
Most used Ms. Cyga word?
Fantastic