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18 Cards in this Set

  • Front
  • Back

Acute Triangle

A triangle where all angles are acute angles

A triangle where all angles are acute angles

Obtuse Triangle

Triangle where one (and only one) angles is an obtuse angle

Triangle where one (and only one) angles is an obtuse angle

Right Triangle


(IMPORTANT!)

Triangle with a 90 degree angle

Triangle with a 90 degree angle

Scalene Triangle

Triangle with 3 side all DIFFERENT lengths

Triangle with 3 side all DIFFERENT lengths

Isosceles Triangle


(IMPORTANT)

Triangle with 2 sides congruents (can be acute, right or obtuse)

Triangle with 2 sides congruents (can be acute, right or obtuse)

Equilateral Triangle

Triangle where all 3 sides are congruent (all 3 angles are also acute, and congruent)

Triangle where all 3 sides are congruent (all 3 angles are also acute, and congruent)

Mid segment of a triangle

There are 3 of them in any triangle.  All 3 have this property. 

There are 3 of them in any triangle. All 3 have this property.

Area of a triangle

1/2 b * h

1/2 b * h

Perimeter of any polygon

The perimeter is the overall length of the "outside" of the polygon. Just add them all up in order! The answer is a linear measure, so answer is given in units only.

Triangle Sum Theorem

All 3 angles in any triangle add up to 180 degrees!

All 3 angles in any triangle add up to 180 degrees!

Exterior angle of a triangle

Exterior angles are the angles formed by the extension of the sides.  They lie OUTSIDE the triangle itself.

Exterior angles are the angles formed by the extension of the sides. They lie OUTSIDE the triangle itself.

Exterior angle theorem

The exterior angle is congruent or equal to the sum of 2 "remote" (or far away) interior angles as shown here.

The exterior angle is congruent or equal to the sum of 2 "remote" (or far away) interior angles as shown here.

Median of a triangle (3 of them!!)

A median is a segment from a VERTEX point to the MIDPOINT of the opposite side.  There are 3 in every triangle

A median is a segment from a VERTEX point to the MIDPOINT of the opposite side. There are 3 in every triangle

Centroid


(created by intersection of all 3 medians)

The centroid is the intersection of all 3 medians.  The medians will ALWAYS intersect at this 1 point!!

The centroid is the intersection of all 3 medians. The medians will ALWAYS intersect at this 1 point!!

Centroid Theorem

The distance from the vertex to the centroid is 2/3 the total median length, the other 1/3 is from centroid to midpoint.  Works for all 3!!

The distance from the vertex to the centroid is 2/3 the total median length, the other 1/3 is from centroid to midpoint. Works for all 3!!

Isosceles Triangle properties and theorems


(VERY IMPORTANT TO KNOW THESE 3 things!)

1. BASE ANGLES are congruent.
2. the altitude (EG here) is the perp. bisector of the base.
3. The altitude ALSO bisects the vertex angle.

1. BASE ANGLES are congruent.


2. the altitude (EG here) is the perp. bisector of the base.


3. The altitude ALSO bisects the vertex angle.

Distance between any 2 points using the distance formula (harder way in my opinion)

Use the coordinates and plug into the formula.  BE CAREFUL OF THE SUBTRACTION!)

Use the coordinates and plug into the formula. BE CAREFUL OF THE SUBTRACTION!)

Distance between 2 points (or anywhere) using the Pythagorean Theorem (much easier to see!)

Just make a right triangle out of the rise and run.  Square the rise, square the run, add them together, and take the square root!!  
     

Just make a right triangle out of the rise and run. Square the rise, square the run, add them together, and take the square root!!