Geometry

Question 1

Line

Answer 1

connecting two points and extending indefinitely

Question 2

Ray

Answer 2

half-line

Question 3

Line segment

Answer 3

have two endpoints

Question 4

Angle

Answer 4

union of two rays sharing a common endpoint

Question 5

Acute angle

Answer 5

whose measure is more than 0 degree but less than 90

Question 6

Right angle

Answer 6

exactly measures as 90 degree

Question 7

Obtuse angle

Answer 7

the measure is more than 90 degree but less than 180 degree

Question 8

Straight line

Answer 8

exactly 180 degree

Question 9

Are the diagram drawn to scale

Answer 9

no - so an angle might be 1 degree or angle number 1

Question 10

When n line intersect through a common point

Answer 10

the sum of all the angles created by those n lines ta that point is 360 degree

Question 11

Intersecting line is perpendicualr

Answer 11

each angle formed between that line are a 90 degree

- two straight lines are said to be perpendicular when they intersect and form four right angles

Question 12

Supplementary angle

Answer 12

angle that add up to 180 degree

Question 13

Transversal line

Answer 13

two parallel lines cut by a line

Question 14

When lines are cut by a vertical line

Answer 14

vertical angles are equal

Question 15

Triangle add up to

Answer 15

180 degree

Question 16

Largest angle of a triangle

Answer 16

opposite of the longest side of the triangle

Question 17

Smallest angle

Answer 17

opposite of the shortest side of the triangle

Question 18

Exterior angle

Answer 18

Given any polygon, when taking one exterior angle at each vertex, the sum of the measure of the exterior angles will always equal to 360

Question 19

The measure of the two exterior angles of the triangle is equal to the sum of the measure of the

Answer 19

two remotes interior angles

Question 20

altitude

Answer 20

height

Question 21

In any triangle, the sum of the lengths of any two sides of the triangles is greatest than the length of the

Answer 21

third side

Question 22

In any triangle, the difference of the lengths of any two sides of the triangles is less than the length of the

Answer 22

third side

Question 23

scalene

Answer 23

no sides are the same

Question 24

isosceles

Answer 24

two sides are the same

Question 25

equilateral

Answer 25

all sides are the same

Question 26

acute triangle

Answer 26

each of its side is less than 90 degree (can be scalene, isosceles or equilateral)

Question 27

obtuse triangle

Answer 27

one angle is greater than 90 but less than 180 (can be scalene, isosceles)

Question 28

right angle triangle

Answer 28

one angle is 90 degree (can be scalene, isosceles)

Question 29

Pythagorean triple #2

Answer 29

5-12-13 | - any factors/combination of this will be Pythagorean triple so {10-24-26}, { 15-36-39} and so on will be the triples

Question 30

Pythagorean triple #1

Answer 30

3-4-5 | - any factors/combination of this will be Pythagorean triple -> so {6,8,10}, { 9,12,15} and so on will be the triples

Question 31

The area of an isosceles right triangle can be found using the formula

Answer 31

I^2/2 where I is the length of one of side

Question 32

The side of a 45-45-90 right triangle are in a set ratio of

Answer 32

x, x, and xrad2 where x rad 2 represents the lengths of the hypotenuse and x represents the length of each of the shorter legs

Question 33

A square diagonal cuts the square into

Answer 33

two 45-45-90 right triangles

Question 34

The side of a 30-60-90 right triangle are in a set ratio of

Answer 34

Always exhibit the same ratio of x: xrad 3, 2x

Question 35

Area of an equilateral triangle

Answer 35

(s square rad 3)/4

Question 36

Cutting an equilateral triangle in half form

Answer 36

makes the triangle 30, 60, and 90-degree triangle

Question 37

Two triangles are similar if

Answer 37

one triangle is simply an enlargement of another triangle

Question 38

Triangles can be similar if (1)

Answer 38

three angles of one triangle are the same measure as three angles of another triangle

Question 39

Triangles can be similar if (2)

Answer 39

three pairs of corresponding sides have lengths in the same ratio

Question 40

Triangles can be similar if (3)

Answer 40

an angle of one triangle is the same measure as an angle if another triangle and the sides surrounding these angles are in the same ratio

Question 41

Sum of Interior angle

Answer 41

180 (n-2), where n is the number of sides

Question 42

Square

Answer 42

all sides are 90 degree

Question 43

Rectangle

Answer 43

opposite sides are equal

Question 44

Rhombus

Answer 44

all sides are equal

Question 45

The perimeter of a semi-circle

Answer 45

not half of what the circle rather it's -> pi(r)+2r

Question 46

A measure of central angle is always half the

Answer 46

measure of the central angle

Question 47

Arc Length

Answer 47

2(pi)(r)(C/360); where C is the central angle and

Question 48

Area of sector

Answer 48

(pi)(r^2)(C/360), where C is the central angle