Geometry, Unit 3: Triangle Congruence. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
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- What is a triangle?
- A polygon with three sides and three angles
- What is the sum of the interior angles of any triangle?
- 180 degrees
- What does it mean for two triangles to be congruent?
- All corresponding sides and angles are equal
- What does SSS stand for in triangle congruence?
- Side-Side-Side, all three sides equal
- What does SAS stand for in triangle congruence?
- Side-Angle-Side, two sides and the included angle equal
- What does ASA stand for in triangle congruence?
- Angle-Side-Angle, two angles and the included side equal
- What does AAS stand for in triangle congruence?
- Angle-Angle-Side, two angles and a non-included side equal
- What does HL stand for, a congruence rule specific to right triangles?
- Hypotenuse-Leg, the hypotenuse and one leg equal
- Why is AAA not a valid triangle congruence rule?
- Matching angles alone can produce similar, not necessarily congruent, triangles
- What is CPCTC?
- Corresponding Parts of Congruent Triangles are Congruent, used after proving triangles congruent
- What is an isosceles triangle?
- A triangle with at least two congruent sides
- What is the Isosceles Triangle Theorem?
- If two sides of a triangle are congruent, the angles opposite them are also congruent
- What is an equilateral triangle?
- A triangle with all three sides congruent
- What is true about the angles of an equilateral triangle?
- All three angles are congruent, each measuring 60 degrees
- What is a scalene triangle?
- A triangle with no congruent sides
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