This theorem states that triangles are similar if all of the corresponding sides are equal.
What is SSS (side-side-side)
100
You want to know the height of a flagpole by measuring with a mirror. If you place the mirror 10 feet from the flagpole and then you go and stand another 5 feet from the mirror. You are 6 feet tall. Draw similar triangles depicting this situation.
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|
| | 6
|_________*____|
10 5
100
Picture 1
5
100
Are these triangles similar? Which theorem? Picture 5
What is SSS
100
Two triangles are similar by the AA theorem can they also be assumed to be congruent?
No, there is not enough information
200
This theorem says that triangles are similar if two pairs of corresponding sides of two triangles are proportional and the included angle are congruent.
What is SAS (side-angle-side) Similarity Theorem
200
How tall is the flagpole?
You want to know the height of a flagpole by measuring with a mirror. If you place the mirror 10 feet from the flagpole and then you go and stand another 5 feet from the mirror. You are 6 feet tall. Draw similar triangles depicting this situation.
12 feet.
200
Picture 5
22
200
Are these triangles similar? Which Theorem? Picture 6
Not enough information
200
Fact or Fiction: Congruent triangles are always similar triangles
What is OF COURSE---TRUE!
300
This theorem states that if two angles of one triangle are congruent to the corresponding angles of another triangle then the triangles are similar.
What is AA (Angle-angle) Similarity Theorem
300
A 2ft tall statue stands next to a baby elephant casting a 3 foot shadow. If the baby elephant casts a shadow that is 12ft long, then how tall is the elephant?
What is 8 feet tall
300
Picture 3
What is 7
300
Picture 9 Are these triangles similar? Which Theorem?
What is SAS
300
Main difference between similar triangles and congruent triangles.
What is similar triangles can have sides that are proportional and not the same length.
400
This theorem states that triangles are congruent if two corresponding angles and the included side are the same.
What is ASA Congruency Thm.
400
You are trying to estimate the height of a tree but you do not have measuring tape that long. So you are going to indirectly measure it.
You are 5.5 feet tall and right now have a 4 foot shadow.
The tree currently has a shadow of 6 feet. How tall is the tree?
What is 8 1/4 ft or 8 ft 3 in or 8.25
400
Picture 4
What is 1
400
Are these triangles similar? Which Theorem? Picture 8
What is AA
400
Two triangles have angle measurements of A=45, B=50, C=85 and D=45, E=50, F=85
Are these similar/congruent/both/neither
What is similiar
500
This theorem states that triangles are congruent if two corresponding angles and the non-included side are the same.
What is AAS Congruency Theorem
500
You have a triangle with sides 14, 21 and 28. Which of the following are lengths of a a similar triangle?
A. 15,15, 25
B. 24,30,36
C.18, 27, 36
D.21, 28, 35
What is C.18, 27, 36
500
Picture 2
What is 150
500
Are these triangles similar or congruent or both or neither? Which Theorem(s)? Picture 7
What is similar and congruent by the SSS Theorem
500
Triangles that are found similar by this theorem are also congruent.
What is SSS.....If all sides are the same then the triangles are similar and congruent