Polygons whose corresponding angles are congruent and corresponding side lengths are proportional.
100
What is the AA similarity postulate?
If two angles of one triangle are congruent to two angles of another triangle then the triangles are similar.
100
Verify that the triangles ABC and DEC are similar. AC= 16, BC=23. CD=32 and EC= 46. (Draw triangle on board)
They are similar by SAS
100
This variable stands for scale factor in this equation.
?>1 and ?<1
What is k?
200
What is 90/36=240/x
96
200
What is scale factor?
The ratio of the lengths of two corresponding sides of two similar polygons.
200
There are two right triangles one has a 40 degree angle the other has a 70 degree angle . This postulate makes then similar.
What is AA Similarity Theorem?
200
Verify triangles ABC and DEF are similar using SAS. Find the scale factor.
AB=10 EF=20 AC=66 DF=132. Angles ABC and DEF are vertical angles.
Yes they are similar
200
This term stands for two similar figures that are transformed.
What is a dilation?
300
What is the geometric mean of 48 and 8
8√6
300
What is the scale factor of a triangle with a side length of 12 and a side length of 15 to a triangle with a side length of 36 and a side length of 45?
3:5
300
Find x. 9/x=3/54
What is 18
300
Show that triangles ABC and DEF are similar by SSS. Find the scale factor.
AB=25 BC=60 AC=44
DE=45 EF=96 DF=70.4
the scale factor is 5/8
300
This theorem states that if line DE is parallel to line BC then line DE divides AB and AC proportionally.
What is the Triangle Proportionality Theorem?
400
What is a/b=c/d and a/c=b/d an example of?
Interchange Means
400
Which theorm says that if two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths?
Perimeters of Similar Polygons
400
Are the two triangles similar by AA similarity postulate. (Draw triangle).
Yes they are.
400
The triangles are similar. Find the scale factor and the value of X and Z.
AB=x DE=12
BC=10 EF=Z
CA=20 DF=16
X=15
Z=8
the scale factor is 5/4
400
A dilation is an enlargement when k is greater than what?
What is 1
500
AB:BC is 3:8. CB is 48. What is AB?
18
500
In triangle ABC, AB=80 and BC=120. In triangle DEF, DE=116. What is EF?
EF=174
500
In right triangle ABC, angle ABC is the right triangle and angle BAC is 46 degrees. In right triangle DEF, angle DEF is the right triangle and angle DFE is 55 degrees. Are the two triangles similar?
No
500
Sketch the description. Explain if the triangles can be similar. In triangle XYZ, angle X=73 and angle Y= 27. In triangle LMN, angle M=27 and angle N= 80.
The triangles are similar.
500
This theorem states that when three parallel lines intersect two transversals then they divide the transversals proportionally.