Name: _______________________________________________
Congruent figures, dilatation, and similar figures
1) What does the word congruent mean? Now, explain what a congruent figure is.
_____________________________________________________________________________
_____________________________________________________________________________
2) Indicate if the figures below are congruent “C” or non-congruent “N”.
a)
b)
c)
d)
3) Write down the criteria that is required for two figures to be considered similar figures.


4) Complete the sentences regarding similar figures:
5) For figure A and B below, calculate:
a) the dimension of x: ______________
b) B is the image of A. Indicate if this dilation was an enlargement or a reduction: ___________
c) the scale factor to go from figure A to B: ________________
A
B
Name: _______________________________________________
6) Which of the following is not a characteristic of similar figures?
a) Proportional sides
c) Same shape
b) Equal angle measurements
d) Congruent side lengths.
7) Are the figures below similar? Explain.
_____________________________________________________________________________
_____________________________________________________________________________
8) Which figure is similar to the figure below?
9) If the figures below are proportional, what is true about the angles of the smaller figure?
15 m
5m
_________________________________
Name: _______________________________________________
10) Graph the image of rectangle
ABCD after dilation with the scale
factor of 3, centered at the origin of
the Cartesian plane. (Don’t forget to
draw the dotted lines!)
Point A:
Point A’:
11) Graph the image of rhombus
QRST after dilation with the scale
factor of
1
2
, centered at the origin
of the Cartesian plane. (Don’t
forget to draw the dotted lines!)
Point T:
Point T’: