Unit 1 Review Itzel

Find points

100

Find the midpoint of segment AB A(2,3), B(6,7)?

M=(2+6²,3+7²)=(4,5)

      

200

Find the distance between P(-1,4) and Q (5,-2)?

d=(5+1)²+(-2-4)²=6²+(-6)²=72=6²

300

Is the line y=3x+7 parallel to 3y=9x-12?

Second equation gives y=3x-4.

Slopes both= 3, Yes they're parallel.

400

Triangle sides: 8,8,5 classify it

Two sides equal, isosceles triangle.

500

Triangle has angles 2x,3x,and x. Find the angles.

2x+3x+x=180=6x=18-=x=30

Angles= 60,90,30.

Lines segments

100

Rhombus diagonals are 12 and 16. Find side length

Diagonals bisects at right angles

s=6²+8²=10

200

What does point stands for in Geometry?

An exact location in space. A point is usually represented by a dot and a capital letter.

300

What does midpoint stands for in Math?

The exact middle point of a line segment.

400

What is the definition of a parallel line?

Lines in the same plane that never intersect and are equidistant from each other.

500

What is complementary angles?

Two angles that add up to 90.

Slop lines

100

Find the slope of the line passing through (3,8) and (-2,-7)

m=-7-8/-2-3=-15/-5=3

200

Write the equation of the line with slope m=-2 through point (4,1)

y-1=-2(x-4)

y=-2x+9

300

If vertical angles measure 5x+10 and 7x-20, find the angle measure.

5x+10=7x-20

30=2x=x=15

Angle= 5(15) +10=85

400

Base=10, height=7. Find are.

A=1/2 bh=35

500

Opposite sides of parallelogram ABCD are:

AB=12, BC=8. What is CD and AD?

Parallelogram-opposites sides equal: CD=12,AD=8.

Parallel lines

100

Angles A and B are complementary. If A=2x-3 and B=x+18, find both.

(2x-3)+(x+18)=90

3x+15=90=x=25

Angles: A=47, B=43

200

If a transversal intersects two parallel lines, corresponding angle is 120, find all other angles.

Corresponding=120

Vertical=120

Alternate interior=120

Adjacent linear pair=180-120=60

300

If alternate interior angles measure 75 and 75, proie lines are parallel.

Since alternate interior angles are congruent

Lines are parallel by AIA converse.

400

Rectangle with length 9 and width 12.

Find diagonal.

d=9²⁺12²=225=15

500

Square has diagonal=8.

Find side length 

s/2=8-^s=8/2=4/2

                 

Definition

100

What is the definition of Congruent?

Congruent mean equal =.

200

What is the definition of line?

A line is typically represented with arrowheads at both ends.

300

How do we find a midpoint?

We add the x-values and divide by 2, then add the y-values and divide by 2.

400

Supplementary Angles mean?

Two angles whose measures sum 180.

500

What does reflection stand for?

A transformation that flips a figure over a line to create a mirror image.