Geometry Review

Question 0

Opposite angles (when two lines intersect)

Answer 0

Are equal, called “congruent angles” or “vertical angles”

Question 1

Congruent line segments

Answer 1

Line segments that have equal lengths

Question 2

Polygon with n sides can be divided into

Answer 2

n-2 triangles

Question 3

Sum of the measures of the interior angles of a polygon

Answer 3

(n-2)(180)

Because there are n-2 triangles in the polygon, and the sum of angles in a triangle is 180*

Question 4

Regular polygon

Answer 4

All sides are congruent and all interior angles are congruent

Question 5

The length of each side must be less than…

Answer 5

The sum of the lengths of the two other sides.

Ex. Sides cannot be 4, 7, and 12 because 12 > 4 + 7

Question 6

Area of triangle

Answer 6

1/2(base)(height)

Question 7

Triangles are congruent if they have the same

Answer 7

Shape AND size.

Question 8

3 rules to determine congruency of triangles

Answer 8

All three sides are congruent.
Two sides and their included angle are congruent with that of the other triangle.
Or, one side and two angles are congruent

Question 9

Similar triangles

Answer 9

Same shape not size.

Angles are congruent.

Question 10

Area of parallelogram

Answer 10

A = bh

Question 11

Area of trapezoid (quadrilateral with parallel opposite sides)

Answer 11

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

Question 12

Congruent circles

Answer 12

Equal radii

Question 13

Circumference

Answer 13

C = 2pi(r)

Question 14

Ratio of arc length to circumference is equal to ratio of…

Answer 14

Arc angle to 360deg

Question 15

Area of circle

Answer 15

A= pi(r)^2

“Pi r squared”

Question 16

Sector of circle

Answer 16

Region bound by an arc of the circle and two radii

Question 17

Ratio of sector area and area of circle is also equal to

Answer 17

Ratio of degree measure to 360 deg.

Question 18

Tangent line intersects circle…

Answer 18

At ONE point

Question 19

Polygon is inscribed in a circle if…

Answer 19

All its vertices lie on the circle.

Also described as the circle being circumscribed about the polygon

Question 20

If one side of an inscribed triangle is a diameter of the circle, then the triangle is…

Answer 20

A right triangle

Question 21

Polygon can be circumscribed about the circle as well. In order for the circle to be inscribed inside the polygon…

Answer 21

Each side of the polygon must be tangent to the circle (intersect at one point)

Question 22

Concentric circles

Answer 22

Have the same center

Question 23

Volume of a rectangular solid

Answer 23

V = lwh

Question 24

Surface area (rectangular solid)

Answer 24

Sum of the areas of the six faces

2( lw + lh + wh) = A

Question 25

Circular cylinder

Answer 25

Two congruent circles joined by a lateral surface (made up of all the parallel line segments that join points in the two circles)

Question 26

Axis (cylinder)

Answer 26

Line segment joining the centers of two circles

Question 27

Right circular cylinder

Answer 27

Circular cylinder whose axis is perpendicular to its bases

Question 28

Volume (right circular cylinder)

Answer 28

Area of base x height

V = (pi)r^2h
“Pi r squared times height”

Question 29

Surface area (right circular cylinder)

Answer 29

Area of each circle plus area of rectangle joining them (2 pi r x height)

A = 2(pi r ^2) + 2 pi r h