Geometry

Question 0

What do the exterior angles of a triangle add to?

Answer 0

360

Question 1

What do the interior angles of a triangle add to?

Answer 1

180 Degrees

Question 2

What is the area of a triangle formula?

Answer 2

Area = (1/2)(B)(H)

Question 3

What is the Pythagorean theorem?

Answer 3

A^2 + B^2 = C^2

Question 4

What is an equilateral triangle?

Answer 4

All sides are equal. All angles = 60 degrees. When an equilateral triangle has an angel bisected it becomes a 30/60/90 triangle.

Question 5

What is an isosceles triangle?

Answer 5

Two sides are equal and two angles are equal

Question 6

What is area of a circle?

Answer 6

Area = (pie)(r^2)

Question 7

What is the circumference of a circle?

Answer 7

Circumference = (pie)(D) = 2(pie)(r)

Question 8

What do you need to find the arc-length or arc degree of a circle?

Answer 8

The degree of an arc/360 is proportional to the area and circumference of a circle

Question 9

What is the relationship between a radius and a diameter?

Answer 9

(2)(radius) = diameter

Question 10

What are the total degrees in a circle?

Answer 10

360

Question 11

What is the volume of a rectangular solid?

Answer 11

Base times height

Question 12

What do two angles on a line equal?

Answer 12

180 degrees

Question 13

What do angles around an intersection of at least two lines add to?

Answer 13

360 Degrees

Question 14

Do parallel lines ever cross?

Answer 14

Not on a 2D plane. Not if they are on the same plane.

Question 15

If a triangle is inscribed inside a circle so that one side of the triangle is a diameter. What type of triangle is it?

Answer 15

A right triangle.

Question 16

If given a radius of a circle what can you determine?

Answer 16

Circumference, diameter, area. All other necessary values on the GMAT

Question 17

What is a tangent line?

Answer 17

A line that touches a circle on exactly one point. It’s perpendicular to the radius at the point if tangency.

Question 18

What axis is vertical?

Answer 18

Y axis

Question 19

What axis is horizontal

Answer 19

X axis

Question 20

What is the slope formula?

Answer 20

Rise/Run - (Y1 - Y2)/(x2 - x1) - (Delta Y / Delta X)

Question 21

How are points written?

Answer 21

(X, Y)

Question 22

What is the line formula?

Answer 22

Y = mx + b

M is slope
B is y intercept
(X,y) is a point on the line

Question 23

What is the theory of triangle sides?

Answer 23

Two sides added together are always longer than the third side. The difference of any two sides is less than the third side.

Question 24

Area if a rhombus?

Answer 24

A = (b)(h)

Question 25

Area of a trapezoid?

Answer 25

A = (1/2)(b1 + b2)(h)

Question 26

What is pie?

Answer 26

Circumference/Diameter. Infinite # 22/7 is close. 3.14 is also close.

Question 27

What is 0/x =

Answer 27

Zero slope/Horizontal line

Question 28

What is a 0 slope look like?

Answer 28

A horizontal Line

Question 29

What does an undefined slope look like?

Answer 29

Vertical line. X/0

Question 30

What is the slope of a vertical line?

Answer 30

Undefined/No Slope - Cannot divide anything by 0. (X/0 = Undefined)

Question 31

Name two unique degree combinations in right triangles and the corresponding sides.

Answer 31

45: 45:90 X:X:Xsq.2 30: 60:90. X:Xsq3:2X

Question 32

What are the two common Pythagorean triples?

Answer 32

3: 4:5 5: 12:13

Question 33

x:12:13

Answer 33

5:12:13

Question 34

5:x:13

Answer 34

5:12:13

Question 35

5:12:x

Answer 35

5:12:13

Question 36

What happens when you draw a diagonal in a parallelogram?

Answer 36

You bisect the area and if you have two lines they bisect each other

Question 37

Def: Paraelleogram

Answer 37

Closed quadrilateral with two sets of parallel lines. Rectangles, squares, rhombus.

Question 38

Volume of a rectangular solid?

Answer 38

V = (l)(w)(h)

Question 39

Surface area of a rectangular solid?

Answer 39

SA = 2( lw + lh + wh) (the faces)

Question 40

Volume of a cylinder?

Answer 40

Base x height. = (pie)(r^2)(h)

Question 41

Surface area if a cylinder?

Answer 41

``` SA = (faces)(lateral surface area) SA = ((2)(pie)(r^2)) + ((2)(pie)(r)(H)) ```

Question 42

What is the lateral surface area?

Answer 42

Surface area of the cylinder height only. Does not include the faces. LSA=(circumference)(height)

Question 43

Area of a Parallelogram?

Answer 43

Area = (b)(h)

Question 44

Interior angles of a parallelogram add to?

Answer 44

360 degrees

Question 45

How many sides does a polygon with 360 degree angles have?

Answer 45

4 sides

Question 46

Area of a trapezoid?

Answer 46

Area=(1/2)(b1 +b2)(h)

Question 47

How many sides are parallel in a trapezoid?

Answer 47

At least one set. If it's two sets of parallel lines it's a parallelogram.

Question 48

Are all trapezoids parallelograms?

Answer 48

No

Question 49

Are all parallelograms trapezoids?

Answer 49

Yes

Question 50

Describe the height of a triangle

Answer 50

Distance from base to opposing apex. Must be perpendicular to base. Any side can be a base.

Question 51

A 45:45:90 triangle is 1/2 a what?

Answer 51

Square

Question 52

When an altitude is drawn from the unequal side of an isosceles triangle is does what?

Answer 52

Bisects the base and the angle.

Question 53

What does congruent mean?

Answer 53

Equal

Question 54

Every equilateral triangle is also what type of triangle?

Answer 54

An Isosceles triangle. All isosceles triangles are not equilateral triangles.

Question 55

What does the height of an equilateral triangle always equal?

Answer 55

(Sq root 3)(x)/(2)where x is the side of the triangle.

Question 56

What is a chord?

Answer 56

A line connecting two points in a circle that doesn't necessarily go through the center of the circle.

Question 57

Describe a diameter in terms of a chord.

Answer 57

A chord that goes through the center of a circle.

Question 58

What is a central angle?

Answer 58

An angle that starts in the center if a circle.

Question 59

What is an inscribed angle in a circle?

Answer 59

It's inside the circle and it starts from the circumference as opposed to a central angle that starts in the center of a circle.

Question 60

If multiple inscribed angles in a circle share the same arc describe the angles.

Answer 60

They are all equal to one another if they share the same arc and they are all inscribed.

Question 61

Describe the relationship of a central angle and an inscribed angle share the same arc.

Answer 61

The central angle is twice the inscribed angle. The inscribed angle is half the central angle.

Question 62

What can you find if you have an inscribed angle and a radius?

Answer 62

All of it! Area/circumference/length arc.

Question 63

What's the slope of parallel lines?

Answer 63

The same.

Question 64

What's the slope of a perpendicular line?

Answer 64

The negative reciprocal of the other line.

Question 65

If you increase the slope what happens to the line ?

Answer 65

It gets steeper.

Question 66

What's the direction of a positive slope?

Answer 66

Northeast

Question 67

What's the direction if a negative slope?

Answer 67

Southeast

Question 68

Describe the quadrants in coordinate geometry.

Answer 68

Starts in the (pos,pos) quadrant with 1 and then moves counter clockwise.

Question 69

How do you find the x intercept?

Answer 69

Set y to zero or use the formula = (-b)/m

Question 70

Describe the slope of two lines if the product of them equals -1.

Answer 70

They are perpendicular.

Question 71

What is the distance between two points?

Answer 71

=sq root{(x1 - x2)^2 + (y1 - y2)^2}

Question 72

Midpoint formula?

Answer 72

={(x1 + x2)/2, (Y2 + y1)/2}

Question 73

How do you determine the number of degrees inside a polygon?

Answer 73

=(n-2)(180) where n=the number of sides

Question 74

What is a rhombus vs trapezoid?

Answer 74

Rhombus - Two sets of parallel lines without right angles. Trapezoid - One set of parallel lines in a quadrilateral. All parallelograms are trapezoids.

Question 75

Describe a major vs a minor arc.

Answer 75

The minor arc is the smaller arc. The major arc is the other/outer arc.

Question 76

What are uniform solids?

Answer 76

If you cut them into cross sections that would have the same bases as the original.

Question 77

What is a vertex? What is he plural version of this?

Answer 77

A corner in a polygon. Plural: Vertices

Question 78

What are supplementary angles?

Answer 78

The add to 180

Question 79

What are complementary angles?

Answer 79

Add to 90 degrees

Question 80

What are bisected angles?

Answer 80

An angle that is split evenly.

Question 81

What are adjacent angles?

Answer 81

The are next to each other on a straight line.

Question 82

Area of a parallelogram

Answer 82

Area = (base)(height)

Question 83

What are vertical angles ?

Answer 83

Just like it says. If two lines cross they are he angles across from each other.

Question 84

What is a transversal?

Answer 84

A line that crosses parallel lines.

Question 85

What is the origin?

Answer 85

Point (0,0) on coordinate geometry.

Question 86

What is the altitude?

Answer 86

The height

Question 87

Describe legs/base in a triangle.

Answer 87

There are two legs and 1 base.

Question 88

How many sides in a pentagon?

Answer 88

5

Question 89

How many sides in a hexagon?

Answer 89

6

Question 90

What is a semicircle?

Answer 90

Half a circle. A circle cut by its diameter

Question 91

What is the exterior angle of a triangle equal to?

Answer 91

The sum of the other two interior angles.

Question 92

What is a regular polygon?

Answer 92

A polygon with equi-angles and equi-sides.

Question 93

What is a polygon?

Answer 93

A closed plane figure formed by three or more line segments.

Question 94

What makes triangles congruent?

Answer 94

Equal angles and equal sides. Basically, equal triangles.

Question 95

Sometimes the height of a triangle is outside of the triangle.

Question 96

72 degrees

Answer 96

1/5 a circle

Question 97

1/6 a circle

Answer 97

60 degrees