This was the only congruence condition that needs one set of congruent angles as the middle condition
What is Side-Angle-Side (SAS)
What is 10
At least two sets of angles are congruent in a pair of triangles
What are Angle-Angle similar triangles
It's the notation to indicate a line segment
What is a bar over the vertices that make the line segment
This is the only congruence condition that doesn't need an angle
What is Side-Side-Side (SSS)
It is the angles opposite of each other that are created by intersecting lines
What are vertical angles
Matching sides are called
What are corresponding sides?
When a pair of triangles have 3 sets of proportional sides
What are Side-Side-Side similar triangles
This is the only type of congruence condition that requires a right triangle
What is Right Hypotenuse-Leg (RHL)
It's what you can conclude if G is the midpoint of segment AB
What is segment AG is congruent to segment GB OR the same length
Two objects that are the same shape but not the same size are _______.
What is similar
If at least two corresponding sides are proportional in a set of triangles what else would we need to show they are similar
What is one more proportional side OR a congruent angle between the sides.
It's how we know triangles are similar based on their sides
What is proportional corresponding side lengths
It's the property used to replace one value with another equivalent value
What is the Substitution Property (also a good way to check your answer)
OVERLAPPING TRIANGLES
inner triangle has side lengths 5 and 7
larger triangle has side lengths 3x-7 and 5x-5
Assume that the first measurements are corresponding, and the second measurements are too. What is the value of x?
x=-6
The similarity condition for a pair of triangles share vertical angles with two corresponding proportional sides surrounding it
What is Side-Angle-Side similarity
It's the statement in a proof whose Reason was ASA (or AAS or SAS or SSS or HL)
What is a Triangle Congruence Statement
It's the congruence condition that has one set of corresponding congruent sides on the outside of the set of two congruent sets of angles angles
What is Angle-Angle-Side (AAS)
If triangle ABC and triangle DEF are similar, and line segments AB=27, BC=36, DE=3, and EF=3x-5 what is x
What is x=3
The type of similarity of overlapping triangles with a parallel base
What is AA or SAS similarity
It's how angles are indicated
What is a wedge in front of the vertices that make the angle