Two pairs of congruent corresponding sides and their included angle. The angle must be between the two sides. Look for vertical angles.
What is SAS (Side-Angle-Side)?
100
Three pairs of corresponding sides. Look for shared sides.
What is SSS (Side-Side-Side)?
100
If two pairs of corresponding angles are congruent, then the triangles are similar.
What is Angle-Angle Similarity (AA~)?
100
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In some cases, the triangles we must prove overlap. In these cases, its best to ________.
What is redrawing triangles?
100
similarity translations
What is types of transformations that are NOT isometries?
200
Two theorems for triangles are both mean the same thing.
What are AAS and ASA?
200
A triangle with an angle that measures of 90*.
What is a right triangle?
200
Two pairs of proportional corresponding sides with congruent included angles.
What is Side-Angle-Side Similarity (SAS~)?
200
When writing proofs, you must always have this as your first step.
What is a given?
200
Divides a segment into 2 congruent segments.
What is a midpoint?
300
All angles have the same exact measure that when added together, equal 180*. No matter if its a triangle with all sides with the same measure of 60*, or a square with all sides with the same measure of 45*.
What are equilateral angles?
300
A triangle with three different measure of sides.
What is a scalene triangle?
300
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Measure of angle A is congruent to measure of angle D (all right angles are ____)
Measure of BCA is _____ measure of ECD (vertical angles are _____)
Triangle ABC is similar to triangle DEC by AA~
What is congruent?
300
Line RS is congruent to line RS.
What is reflexive?
300
Multiply or divide all dimensions by the same factor, known as the scale factor (K)
What is a dilation?
400
AAS, SAS, SSS, ASA, HL
What are the 4 methods for proving two triangles are congruent?
400
An angle on a triangle that's greater than 90* but less than 180*.
What is an obtuse triangle?
400
If triangle ORC is congruent to triangle HID, then line OC is congruent to line HD.
What are congruent triangles?
400
In a proof, after you have proved two triangles congruent, then you may use this definition to state that ANY pair of corresponding parts (angles or sides) are congruent.
What is CPCTC?
400
Corresponding angles must be congruent.
Corresponding sides must be _________.
What is proportional?
500
All angles in a polygon must add up to this number.
What is 180*?
500
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When looking for the measure of a missing angle, subtract the measure of the angles you are given from 180 to find the _______ of the unknown.
What is measure?
500
Rather than having to make sure that ALL angles are congruent and ALL sides are proportional, there are shortcuts to show they are very similar.
What is triangular similarity?
500
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1. Angle three is congruent to angle four 1. Given
2. Angle one is congruent to angle two 2. _________
3. Line RS is congruent to line RS 3. Reflexive
4. Triangle ROS is congruent to triangle RES 4. ASA
5. Line OS is congruent to line ES 5. CPCTC
What is bisectors divides an angle into two congruent angles?
500
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A dilation with K>1 is an 1) _______.
A 2) ______ with 0>K>1 is a reduction.