Geometry

Question 1

Congruent

Answer 1

Equal

Question 2

Midpoint

Answer 2

The point that divides a line segment into two congruent line segments

Question 3

Opposite angles are…

Answer 3

congruent, have equal measures

Question 4

Acute angle

Answer 4

less than 90 degrees

Question 5

Obtuse angle

Answer 5

more than 90 degrees and less than 180

Question 6

Z angles with parallel lines are…

Answer 6

equal (4 of 8 equal, other 4 are equal)

Question 7

perimeter

Answer 7

the sum of the length of the sides

Question 8

endpoints of a polygon are called…

Answer 8

vertices

Question 9

if a polygon has n sides, it can be divided into…triangles

Answer 9

n-2

Question 10

sum of interior angles of a polygon is…

Answer 10

(n-2)(180)

Question 11

regular polygon

Answer 11

all sides and all interior angles are congruent

Question 12

Characteristics of an equilateral triangle

Answer 12

all sides are equal

all angles equal 60

Question 13

Characteristics of an isosceles triangle

Answer 13

two congruent sides (so two opposite equal angles)

third side is 180-2x

Question 14

Pythagorean theorem

Answer 14

aˆ2 + bˆ2 = cˆ2

where c is the length of the hypotenuse

Question 15

Lengths of sides in a 45-45-90 triangle

Answer 15

x, x, √2x

Question 16

Lengths of sides of a 30-60-90 triangle

Answer 16

x, √3x, 2x

Question 17

Area of a triangle

Answer 17

A = bh / 2
b=base
h=height

Question 18

What conclusions can be drawn about congruency from the statement: “triangles PQR and STU are congruent”?

Answer 18

PQ and ST are same length
PR and SU are same length
QR and TU are same length
(And corresponding angles are also equal)

Question 19

Congruent triangles

Answer 19

triangles with the same shape and size

Question 20

SSS congruence

Answer 20

Side-side-side congruence: if all three sides are congruent, the triangles are congruent

Question 21

SAS congruence

Answer 21

Side-angle-side congruence: If two sides and the angle between them are congruent, the triangles are congruent

Question 22

ASA congruence

Answer 22

Angle-side-angle congruence: If two angles and the side between them are congruent, the triangles are congruent

Question 23

Two ways to prove similar triangles

Answer 23

1. corresponding angles are congruent

2. lengths of corresponding sides have same ratio (can set up proportions to calculate)

Question 24

Congruency in rectangles

Answer 24

1. four right angles
2. opposite sides are parallel and congruent
3. two diagonals are congruent

Question 25

parallelogram

Answer 25

a quadrilateral in which both pairs of opposite sides are parallel opposite sides are congruent opposite angles are congruent

Question 26

trapezoid

Answer 26

at least one pair of opposite sides is parallel | the parallel sides are the bases

Question 27

area of a parallelogram (including squares and rectangles)

Answer 27

A = bh

Question 28

area of a trapezoid

Answer 28

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

Question 29

radius

Answer 29

distance from the center to an end

Question 30

diameter

Answer 30

2r | the distance across the circle going through the middle

Question 31

chord

Answer 31

any line segment joining two points on the circle

Question 32

formula for circumference

Answer 32

C = 2πr

Question 33

arc

Answer 33

the (outer) part of the circle containing two end points and all the points between them

Question 34

measure of an arc

Answer 34

the measure of its central angle

Question 35

length of an arc

Answer 35

length of arc / circumference (2πr) is proportionate to the central angle / 360

Question 36

area of a circle

Answer 36

πrˆ2

Question 37

area of a sector (piece) of circle

Answer 37

area of sector / area of circle (πrˆ2) is proportionate to central angle / 360

Question 38

tangent

Answer 38

a line that intersects a circle at exactly one point

Question 39

a radius drawn to a tangent is .... to the tangent line

Answer 39

perpendicular

Question 40

If all vertices of a polygon lie on a circle, the polygon is... and the circle is...

Answer 40

inscribed in the circle | circumscribed about the polygon

Question 41

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

Answer 41

right triangle

Question 42

volume of a rectangular solid

Answer 42

V = lwh

Question 43

surface area of a rectangular solid

Answer 43

A = 2(lw + lh + wh)

Question 44

volume of a right circular cylinder

Answer 44

V = πrˆ2h

Question 45

right circular cylinder

Answer 45

axis is perpendicular to its bases and the height is a perpendicular distance from both bases

Question 46

area of a right circular cylinder

Answer 46

A 2(πrˆ2) + 2πrh

Question 47

common Pythagorean triples

Answer 47

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