Similarity
When a triangle is similar because of three congruent angles it is similar due to___
AA
Every pair of ___ triangles are similar but not every similar pair of triangles are ___
Fill in the Blanks with the word that best fits
Congruent
This Triangle has 3 sides that measure the same length
Equilateral
The short sides of a triangle
Legs
The angles of triangles all add to _________
180 degrees
Triangle ABC has sides 3, 4, and 5. Triangle XYZ has sides 6, 8, 10. Are they similar, and if so, by what theorem?
Yes, SSS
Two triangles have 3 sides that measure 3cm, 4cm, and 5cm each are they congruent if so how.
Yes,SSS
A triangle has side lengths of 8 10 and 17 what triangle is it
Scalene
The Long side of a triangle
Hypotenuse
Isosceles triangles have _____ equal sides and _____ equal angles
2, 2
Two triangles have two known legs and one known angle Triangle a has a leg of 3 a leg of 5 and an angle of 45 degrees in between them. Triangle B has an angle of 45 degrees in between the legs that measure 6 and 10. Are the two similar, if so how?
Yes SAS
Two triangles have angles that all measure 60 degrees are they congruent if so how?
There is not enough information to know
This Triangle ABC has two known angles The first Measures 20 degrees and the second measures 50 degrees what type of triangle is it
Obtuse
The Theorem which is used to find missing side lengths in right triangles.
Pythagorean
Equilateral triangles have equal sides length, but also equal ________
angles
If two triangles are congruent they are also what?
Similar
Two triangles have two Congruent sides with a congruent angle between them
SAS
When two side of a triangle are the same the triangle is
isosceles
If the hypotenuse and one leg of two right triangles are congruent, are the triangles congruent and, if so, by what theorem?
Yes, HL
This triangle has no equal side lengths or angles
Scalene
Which of the following is NOT a form of similarity
SSS,AA,SAS,HL
HL
two triangles have 2 congruent angles with a congruent side in between them
A right triangle has a hypotenuse that measures 5cm it also has a leg that measures 3cm. Find the measurement of the other leg.
4cm
If two right triangles share one side length, are they congruent, and, if so, by what theorem?
There is not enough information to know.
DOUBLE JEOPARDY
You have not learned this yet, but there is a way to tell from side lengths along, if something is a triangle or not. Let's see if you can figure out which is a possible triangle
* 9,10,21
*4,9,15
*3,7,9
3,7,9