Unit 1 Flashcards
Constructing segment bisector
- Put compass on endpoint of line then draw curve
- Put compass on other endpoint then draw curve
Construct angle bisector
- Draw curve that intersects both lines on each side of angle
- Put compass on intersection point 1 then draw curve
- Put compass on intersection point 2 then draw curve
Congruency statements for triangles
- SSS (side side side)
- SAS (side angle side)
- AAS (angle angle side)
- ASA (angle side angle)
Step 1 for statement and reason prompts
Statement 1 is the info given in the problem
Reason 1 is always “given”
What is it called when one side is a part of two shapes and is therefore congruent to itself
Reflexive property
When two angles are congruent, what other statement is true about their supplements
Supplements of congruent angles are congruent
When finding only a certain part of the statement reason prompt what is the last step
CPCTC
Corresponding Parts of Congruent Triangles are Congruent
What is the Triangle Inequality
If you add 2 sides of a triangle they always have to be greater than the 3rd side of the triangle
What is the partition postulate
Partition is when the whole is equal to the sum of its parts (notation= partition or part for short)
Sum of Interior angles formula
180(n-2)
n is the number of sides
Sum of Exterior angles is…
360 degrees
Exterior angle measure of regular polygon formula
360/n
n is the number of sides
Interior Angle Measure of a Regular Polygon
180(n-2) over n
n is the number of sides
What is a centroid
A centroid is the connector of all midpoints in a triangle and it makes 2:1 ratios on each of its lines
How to construct an altitude
- Put compass on top point of triangle, draw curve through bottom line, hitting line twice
- Put compass on intersection points without changing distance and draw a small curve on each intersection points without
Constructing a perpendicular line
- Place compass on given external point
- Set the compass width to approx 50% more than the distance to the line
- Draw an arc across the line on each side of E, don’t adjust compass
- Draw arcs from intersection points then draw line down the middle
Stating two parts of a line are equal because of a midpoint
Def midpoint
When a line bisects another line
Def segment bisector
When a line bisects another line (in a triangle) creating a midpoint
Def median