Download 2.21similaritygp1

Geometry
2/21 Similarity GP
:seiga assad ____________________________
Teacher Ms. Eberwine
Directions: Show all work on each problem. .
1) (Level 2) Determine if the triangles are similar. If they are similar, write the similarity ratio
and a similarity statement. 2;3 they’r both similar
2) (Level 3) Determine whether the polygons with the given vertices are similar by finding a
congruence transformation and a dilation that maps one polygon onto the other.
ABC: A(2,2), B(2,4); C(6,4) and DEF: D(3,-3); E(3,-6); F(9,-6) The dilation rate is 2/3.
2.21 Similarity GP page 2
Name: _____________________________
3) (Level 3) Prove that circle A with center (0,4) and radius 4 is similar to circle B with center
(-2, -7) and radius 6.
all circles are similar because a circle is a shape created by a set of points that are a constant distance
from the center point of the circle.
4) (Level 3) Prove ABE ~ ACD. Provide all statements and
reasons, then find BE and CD.
there are corresponding angles created by the 2 transversals and the parallel lines. By getting 2 sets of
congruent angles, AA~AA
(3/x)=(7.5/x+6)
5) (Level 4) Given:
Prove:
You have parallel lines, so alternate interior angles are congruent. You also have vertical angles
congruent so AA~AA. Then, you use the theorum "If two triangles are similar, then the ratio of any two
corresponding segments (such as altitudes, medians, or angle bisectors) equals the ratio of any two
corresponding sides."