Geometry Unit 1 Test

2

A line always has how many points?

3

A plane always has how many points?

Convex

A polygon that is convex if no line that contains a side of the polygon contains a point in the interior of the polygon.

Two angles that are NEXT TO each other and share a common side.

Adjacent Angles

Complementary Angles

Any two angles who sum is 90 degrees.

A polygon that is not convex is called non-convex or concave.

Concave

Have angles that curve

Convex polygons can not do what?

What does the term bisects mean?

Cuts in half

look up picture

Distance formula?

In an equilateral polygon, all sides are congruent.

Equilateral

c comes before s in the alphabet and 90 comes before 180 complementary= 90 degrees supplementary= 180 degrees

How can you remember the difference between supplementary angles and complementary angles?

Distance always has two capital letters.

How do you know if you are solving a distance problem or midpoint problem?

1.) Set the two equations equal to each other... 5x + 12= 6x-11 2.) Solve for x... x=23 3.) Use the equation of angle one and plug in 23 for x... solve for angle 1 measure angle 1= 127 degrees

How would you solve the following problem? Angle 1 and 2 are vertical angles. If angle 1= (5x + 12) and angle 2= (6x-11), find the measure of angle one.

1.) Set the equations equal to each other... 4x+3=7x-33 2.) Solve for x... x=12 3.) Solve for AEF... AEF= 51 4.) Solve for FED... FED= 51 5.) Solve for CEB... 51+51= 102 CEB=102

How would you solve the following problem? If EF bisects AED, AEF= (4x + 3), and FED = (7x-33), find CEB.

1.) Set the equations equal to each other... 5x+17=8x-31 2.) Solve for x... 3.) Plug x in to the equation for RS 4.) RS=97

How would you solve the following problem? If S is the midpoint of RT, RS= 5x+17, and ST= 8x-31, find RS.

1.) Set the two equations equal to each other... 4-5x=2x+25 2.) Solve for x... x=-3 3.) Plug x in for AB equation... AB=19 4.) Plug x in for BC equation... BC=19 5.) 19 + 19= 38 6.) AC= 38

How would you solve the following problem? If line y bisects AC, AB+ 4-5x, and BC= 2x+25, find AC

x + 4x - 5= 180 x= 37 m∠Q=37 m∠P= 4x-5 4 (37)-5 m∠P= 143°

How would you solve the following problem? The measure of angle P is five less than four times the measure of angle Q. If angle P and angle Q are supplementary angles, find measure angle P.

Equiangular

In an equiangular polygon, all angles in the interior of the polygon are congruent.

If an angle is supplementary it is also always going to be...

Linear Pair

look up pciture

Midpoint formula?

3- triangle 4- quadrilateral 5- pentagon 6- hexagon 7- heptagon 8- octagon 9- nonagon 10- decagon

Names of Polygons: 3- 4- 5- 6- 7- 8- 9- 10-

Non- Collinear

Points that do NOT lie on the same line.

Non- Coplanar

Points that do NOT lie on the same plane.

Collinear

Points that lie on the same line.

Coplanar

Points that lie on the same plane.

A polygon is regular if all sides and all angles are congruent.

Regular

Any two angles who sum is 180 degrees.

Supplementary Angles

Linear Pair

Two adjacent angles that are ADJACENT and SUPPLEMENTARY. They form a STRAIGHT LINE!

Vertical Angles

Two angles ACROSS from each other on intersecting lines. They are always CONGRUENT!

Adjacent and Vertical Complementary and Supplementary

Which two types of angles cant both be "checked"? 2 answers