Congruence Conditions
This is the only congruence condition that needs one set of congruent angles as the middle condition
What is Side-Angle-Side (SAS)
The definition of proportional
What is a dilation of a common scale factor
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
Two triangles are similar with a scale factor of 2.5. The larger triangle has this side length, if the corresponding smaller one is 12
What is 30?
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 Hypotenuse-Leg (HL)
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
The scale factor of two congruent triangles
What is a scale factor of 1
If at least two corresponding sides are proportional in a set of triangles either this, or that would be needed 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
There are two of these that are alike, this one, requires an inclusive side.
What is Angle Side Angle (ASA)
These are formed on opposite sides of a transversal that crosses parallel lines.
What are alternate interior angles
One triangle has side lengths of 3, 4, and 5, the other triangle has side lengths of 9, 12, and 15. There scale factor is this.
What is 3?
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 two congruent sets of 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, the value of x is this.
What is x=3
These two triangles have a set of congruent angles not found between the two sets of proportional sides.
What is not similar?
It's how angles are indicated
What is a wedge in front of the vertices that make the angle