Similarity/Transformations
Similar Triangles
Vocab
Proof
Miscellaneous
100
What is the scale factor for the dilation above?
(A'B'C'D'E' (image) is a dilation of the original ABCDE (pre-image))
What is 1/3?
100
The equation used to find the image of a point when the center of dilation given is not (0,0).
What is (a+k(x-a),b+k(y-b))?
100
The center of dilation is a fixed point. This type of point may also be called __________ in mathematics.
What is an invariant point?
100
This is a convincing argument that shows why a statement is true.
What is a proof?
100
Name the country your teacher traveled to on her honeymoon.
What is Costa Rica?
200
What is the height of the tower?
What is 984 ft.?
200
Complete a similarity proportion with EF and AC.
What is EF/BC = DF/AC or EF/DF = BC/AC (reciprocal variations are also correct)
200
If two polygons are similar, then the ratio of the lengths of two corresponding sides is called this.
What is a scale factor?
200
These are the two pieces of information that should always be known and written in a two-column proof.
What is the given information and the statement of what is being proved?
200
If Euclid turned into an oak, he would say...
What is "Gee, I'm a tree"?
300
One vertex of a triangle is A (2,-3). If the triangle is dilated about the point (0,2) by a scale factor of -2, what is the location of A’?
What is (-4,12)?
300
List the three similarity theorems used to prove that two triangles are similar.
What is AA, SAS, and SSS Similarities?
300
This is an equation that states that two ratios are equal.
What is a proportion?
300
When to figures share a corresponding side or angle, then the corresponding parts are said to be congruent because they are this.
What is reflexive?
300
Name at least the first ten digits of pi.
What is 3.1415926535...?
400
In triangle ABC, and AD is three times bigger than DB. If DE is 9 cm, determine BC.
What is 12 cm?
400
Find the value of x.
What is 4/3 or 1.33?
400
CPCTC stands for this.
What is Corresponding Parts of Congruent Triangles are Congruent?
400
These are the only three shortcuts that can be used to prove that triangles are similar.
What are AA, SSS, and SAS?
400
What shape is a lozenge? Must be as specific as possible.
What is a rhombus?
500
Point A (5,-12) is rotated 90° about the origin to form A’. A’ is then rotated 90° about the origin to form A’’. Point B (3,4) is rotated 90° about the origin to form B’. B’ is then rotated 90° about the origin to form B’’.
△AA’A’’ and △BB’B’’ are similar by SSS. What is the scale factor of △BB’B’’ to △AA’A’’?
What is 13/5?
500
Right Triangle ABC has sides measuring 8 cm, 15 cm and 17 cm. Triangle ABC is dilated by a scale factor of 1/4 about the origin. What is the area of Triangle A’B’C’?
A. 3.75 cm2 B. 7.5 cm2 C. 15 cm2 D. 30 cm2
What is Choice A?
500
A statement that describes a fundamental relationship between basic terms of geometry. These statements are accepted as true without proof.
What is a postulate?
500
CPCTC can only be used as a reason in a proof after this has been accomplished.
What is proven that two triangles are congruent?
500
Divide 30 by a half and add ten.
What is 70?