Similar Figures
One rectangle is 3 inches by 7 inches. Another is 12 inches by 29 inches. Are they Similar?
No
Rectangles CDEF and C'D'E'F' are similar. If the measure of CD is 5 and the measure of C'D' is 10, what was the scale factor used?
What is 2.
How do you find the slope of a line from a graph?
What is M= Rise/Run
Corresponding ______ stay the same when performing dilations & all transformations.
What are Angles.
There is a rectangular picture frame that has a width of 2 ft and length of 3 ft. A similar rectangular picture frame has a length of 4.2 ft. What is the width?
What is 2.8 ft
Triangle ABC and DEF are similar and have been dilated using a scale factor of 2. If Angle B is 45 degrees, what is the corresponding angle measure?
What is 45 degrees.
Find the slope of a line that passes through points (1,7) and (3, 12).
What is 5/2.
In similar figures, side lengths change but remain _______ to the original side lengths.
What is proportional.
A palm tree casts a shadow that is 44 feet long. A 6 ft ladder casts a shadow of 11 feet long. What is the height of the palm tree?
What is 24 ft
Quadrilaterals ABCD and A'B'C'D' are similar. They have been dilated by a scale factor of 1/2. If Segment CD is 6 inches, what is the measure of C'D'?
What is 3 inches
The scale factor must be bigger than ___ to make a shape bigger? The scale factor of a dilation must be smaller than ___ to make a shape smaller.
Find the Slope of a line that passes through point (5,3) and (1,2).
What is 1/4.
In order to perform a dilation on a figure you need these two pieces of information.
What is the Center of Dilation & the Scale Factor
Kareem and Julio have rectangular model train layouts that are similar to each other. Julio's layout is 4 ft wide by 7 ft long. Kareem's layout is 6 ft wide. What is the length of Kareem's layout?
What is 10.5 ft
Triangles ABC and A'B'C' are similar. If segment AB is 8 inches long and segment A'B' is 2 inches long, what was the scale factor used?
What is 1/4.
When a dilation is performed, this point does not move.
What is the center of dilation
When using a graph to find slope, locate two points on the line and then count the number of spaces ____ and ____ to get from the first point to the second point.
What is up/down and over (left or right).
Or What is vertically and horizontally.
What is the formula to find slope from two points?
M = (y2 - y1) / (x2 - x1)
An architect is building a model of a tennis court for a new client. On the model, the court is 6 in wide and 13 in long. An official tennis court is 36 ft wide. What is the length of a tennis court?
What is 78 ft long
True or False:
All similar figures sides and angle measures are always congruent.
What is False; Angles measures are always congruent but side lengths may change.
If the side lengths of Rectangle A are 6 ft by 9 ft and a dilation of A - Rectangle B - has side lengths of 2ft and 3 ft, what is the scale factor of the dilation?
What is 1/3
Find the slope of a line that passes through points (4,6) and (2,4)
What is 1
Two points on a line are (5,13) and (2,4). Is point (0,-2) also on this line? How do you know?
The slope is 3. Yes, point (0,-2) is on the line as well. When we use one point on the line and (0,-2) in our slope formula, we get the same slope (3). Therefore, it is one the same line.