Geometry

Distance, Slope, Midpoint

100

What is the slope formula?

 Y₂ - Y₁

_{__________}

 X₂ - X₁

200

What is midpoint formula?

X₁ - X₂           Y₁ - Y₂

_{________    ,    _________}

       2                2

300

Find the Distance between (2,4) and (1,3)

2

400

Find the midpoint of (7,3) and (4,9)

(5.5, 6)

500

Find the slope of (-3, -8) and (10, -7)

1/7

Triangles

100

How many sides does a triangle have?

3

200

A right triangle has a ____ degree angle

90 

300

Name three different types of triangles

Right, obtuse, acute, isosceles, equilateral, scalene, 

400

Name the five different ways to prove that triangles are congruent

SAS, SSS, AAS, ASA, HL

500

How many degrees does all of the angles in a triangle add up to?

180 degrees

Shapes

100

How many sides does an octagon have?

8 sides

200

What is a 10 sided shape called?

Decagon

300

What is the equation to find the sum of the interior angles?

(n-2) x 180

400

what is the sum of the interior angles of a 5 sided shape?

540

500

Find the number of sides for a shape with a sum of 150

12 sides

Yay Proofs

100

Given: AB = DE

           <B = <E

            BC = EF

Prove: Triangle ABC = Triangle DEF

Statement      Reason

AB = DE          Given

<B = <E          Given

BC = EF           Given

Triangle ABC =    SAS

Triangle DEF

200

Given: 4x= 2x + 5

Prove: 2/5

Statement              Reason

4x = 2x + 5          Given

2x = 5                  subtraction POE

2/5                    division POE

 

300

Given: a ll b, c ll d

Prove: <1 = 16

Statement             Reason

a ll b, c ll d           Given

<1 = <8               Transitive POC

<8 = <16              Def. of congruent angles

<1 = <16               Trans. POC

400

Given: RT = TY, S is the midpoint of RT, X is the midpoint of TY

Prove: ST = TX

Statement                      Reason

 1.RT = TY, S is the             Given

midpoint of RT, X 

is the midpoint of TY

2. RS = TS                        Def of midpoint

3. 1/2 RT = ST                  S is midpoint, x is           

1/2 TY = TX                      midpoint

4. ST = TX                        Substitution POE                                  

500

Given: BM = CM

Prove: AB = AM + DM

Statement               Reason

1. BM = CM             1. Given   

2. CM = DM             2. Ref. POC

3. BM = DM             3. Ref. POC

4. BM = DM              4. Trans. POE

5. CM + DM = AM      5. Segment addition postulate

6. AB = AM + DM       6. Subsitution

30-60-90 and 45-45-90

100

What is the equation for a 45-45-90 triangle?

a= x

b= x

c= square root of 2

200

What is the equation for 30-60-90 triangle?

a= x

b= square root of 3

c= 2x

300

45-45-90

a= 4

b= ?

c= square root of 4

What is B?

4

400

30-60-90

a = 6

b = square root of 4

c = ?

what is c?

c = 12

500

A triangle has 2 angles that measure 45 and 90 degrees. What is the measure of the third angle?

45 degrees