| A | B |
|---|
| An exterior angle of a triangle = sum of | the 2 remote interior angles |
| Vertical angles are | congruent |
| An octagon has | 8 sides |
| A heptagon has | 7 sides |
| The converse is created by | changing the order |
| Perpendicular lines have slope | opposite reciprocals |
| Parallel lines have the _____ slope | same |
| Midpoint formula | (add x's/2, add y's/2) |
| Possible measures of the third side of a triangle are found by | between adding the two sides and subtracting the two sides |
| Across from the smalles angle is the | smallest side |
| Formula for a median of a triangle (mid segment) | 1/2 the base |
| 2 angles whose sum is 90 | complementary |
| The sum of the angles of a quadrilateral | 360 |
| Corresponding angles | same side of the transversal, one is exterior, one interior, non-adjacent |
| Alternate interior angles | 2 non-adjacent, interior angles on opposite sides of the transversal |
| Consecutive interior angles (same side interior) | 2 interior angles on the same side of the transversal, if lines are parallel they are supplementary |
| Similar | same shape, different size |
| Similar triangles have ____ angles and _____ sides | congruent, proportional |
| An angle bisector divides the angle | into two congruent angles |
| A decagon has | 10 sides |
| The inverse is created by | inserting nots or taking out a not |
| The contrapositive is created by | changing the order and inserting the nots |
| The sum of the angles in a triangle is | 180 |
| Consecutive angles of a parallelogram are | supplementary (180) |
| The sum of the exterior angles, one at each vertex, of a polygon is | 360 |
| In a polygon, an exterior and an interior angle | are supplementary |
| 2 angles whose sum is 180 | are supplementary |
| The perimeter is found by | adding all the sides |
| State the distance formula | the square root of (subtract the x's and square it PLUS subtract the y's and square it ) |
| Name 5 ways to prove triangles congruent | SAS, SSS, ASA, AAS, HL |
| Name two ways that triangles cannot be proved congruent | AAA and SSA |
| A reflection is | flipping the figure over a line (mirror image) |
| A rotation is | moving the object through an angle (turning it) |
| A translation is | a slide in any direction |
| A dilation is | enlarging or shrinking an object |
| Angles of parallel lines | obtuse<=obtuse< acute <=acute < obtuse<+acute<=180 |
| The acute angles of a right triangle | are complementary |
| Syllogism's conclusion | if of the first sentence, then of the last sentence |
| Logic symbols | ~ means not, ^ means and |
| Across from the smallest angle of a triangle is | the smalles side of the triangle. |
| Across from the longest side of a triangle is | the largest angle of the triangle. |
| If you know 3 lengths and need to determine if it is a triangle | small side + medium side must be larger than the biggest side. |
| To find coordinates of the top right vertex of a parallelogram placed at the origin, | add the x's and the y's of the other vertices. |
| Exterior angles of a regular polygon | sum is 360 (Note: 360 is always a division problem) |
| When measuring stories of a building, remember to | add each height of the stories together (do not measure the roofs!!!) Then multiply by the scale number. |
| Due south or Due north problems | subtract from 90. |
| To find the diameter's length given 2 end points | Use the distance formula. |
| To find the radius given the center point and a point on the circle, | use the distance formula. |
| Point symmetry | turning the figure upside down and it looks exactly the same. |
| Find the the slope in a right triangle figure. | Rise/Run Vertical number/horizontal number. If going up (left to right) then a positive answer. If down a negative answer. |
| A plane is determined by | 3 non-collinear points. (don't forget the non) |
| Two points determine | a line. |
| Base angles of an isosceles triangle | are congruent. |
| A star is inscribed in a circle. To find the length of an arc from one tip to the next tip | take 360 and divide it by how many tips around the whole circle. |
| Joining the midpoints of a quadrilateral results in a | parallelogram. |
| Central angle of a regular polygon | 360 divided by number of sides. (same as exterior angle) |
| The slope of a line | subtract the y's / subtract the x's |
