Geometry board final

unit 1

100

Simplify the equation: 

(x+9)+(2x+3)

3x+12

200

Simplify the equation:

4x²(2x-1)

8x³-4x²

300

Simplify the equation:

-2(4x+4)

-8x-8

400

What is the leading term for: 

5x⁶+4x³+5

5x⁶

500

Simplify the equation:

(x²+4)(x-2)

x³-2x²+4x-8

unit 2

100

True or False:

A rectangle is a square.

False

200

True or False:

Is a square a rhombus?

True

300

Find the slope of AL: A(-4,-6) and L(-6,2)

-4

400

Find the slope of AB: A(-3,5) and B(2,-1)

-6/5

500

A[---------------]B    < this is a box. What info is 

[                      ]         needed to show that   

[                       ]       quadrilateral ABCD is a 

C------------------ D     parallelogram?

Use the slope formula to show AB and CD have the same slope, and segment AD and BC have the same slope.

unit 3

100

Reflect triangle KEN with K(4,-1), E(2,-3), and N(-2,-1) in the x axis. What are the coordinates for E?

(2,3)

200

What are three valid congruency statements given the triangles below.

     A                       D

B   △   C             E  △ F

△ABC≅△DEF

△BAC≅△EDF

△CAB≅△FDE

300

Given that △GAB≅△JON, identify corresponding angles. 

∠G≅∠J              

∠A≅∠O

∠B≅∠N

400

Given that △AMB≅△LON, identify corresponding sides and angles.

∠A≅∠L               AM≅LO

∠M≅∠O              MB≅ON

∠B≅∠N               AB≅LN

500

Reflect rhombus ALEX with A(3,-3), L(2,-9), E(3,3), and X(5,-9) in the y axis. What are the coordinates of E?

(-3,3)

unit 4

100

Solve the proportion

2/4=r/10

r=5

200

Solve the proportion

20/4=a/6

a=30

300

Figure A has been dilated to produce to produce Figure B. Find the scale factor of the variables.  

y                        6

X ◇   Z               /\

    2                  /     \

               3     /         \3

                      \         /

                        \      /

                           \ /

                             6

x=1

y=2

z=1

400

Figure A has been dilated to produce to produce Figure B. Find the scale factor and the value of the variables

   L                    7.5

2 ◇   D               /\

    A                  /     \

                5    /          \5

                      \          /

                        \      /

                           \ /

                             7.5

scale factor: 1.5

L=3, D=2.5, A=3

500

Assuming the triangles are similar, find the towers height given the measurement below. 

-----------| ----- \

|             |          \

|             |            \             | --- \

|             |              \     1m |        \

| ----------|------------\          |-------\

                      10m                  0.5m

20m

Vocabulary

100

What is a parallel?

side by side having the same distance consistently between them. 

200

What is the pythagorean theorem?

a²+b²=c²

300

What is the definition of a line?

A straight path extending infinitely in both directions.

400

What is an obtuse angle?

An angle greater than 90 degrees but less than 180 degrees.

500

What is the definition of a ray?

Part of a line with one endpoint that extends infinitely in one direction.