Republic of the Philippines
Department of Education
Region 02
Division of Isabela
Benito Soliven District
VILLALUZ INTEGRATED SCHOOL
Benito Soliven
UNANG MARKAHANG PAGSUSULIT SA GMRC VI
Pangalan:_
Petsa: _
I.
Panuto: Basahin ang mga sumusunod na sitwasyon

Why is ES 1 important in
Engineering?
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Li gl
an
LINES
The shortest distance between two points.
A set of points organized that have length and
direction, but no thickness.
E
A
C
B
G
D
F
Transferr

Isometric Drawing
Axonometric Projection
Parallel & normal
to picture plane
B
A
Line
of
sight
D
A
C
B
D
C
Axonometric Projection
Type of axonometric drawing
Axonometric axis
a
1. Isometric
A
b
All angles are equal.
c
B
B
Axonometric axis
a
A
C
D
D
2. Dime

SKEW LINES
Common Perpendiculars
Shortest Distance
Shortest Horizontal Distance
1
Definition
Skew lines are two lines
in space that do not
intersect but are not
parallel.
2
Common Perpendiculars (CP)
Project points
Find true length (TL)
Project ARP perpen

Piercing Points
What is a piercing point?
Piercing points are nonparallel lines running
through and intersecting a plane. They define
the place on the plane where a line intersects
it.
Examples of Piercing Point
in Real Life
Examples of Piercing Point
in

PARALLEL LINES
AND PLANES
BY PAMILICIOUS
DETERMINING PARALLEL LINES
Parallel lines are lines which
appear parallel in any view.
In general, if two lines are parallel
in two adjacent views, they are
considered parallel.
As an exception to that rule, lines

LINES AND PLANES
LINES AND PLANES
True Length
Point View
Edge View
True Size
ALWAYS REMEMBER
TO PROJECT!
And know the
essence of TWO VIEWS.
TRUE LENGTH
-is the real distance between two endpoints
of a line or plane
Top view of a pyramid
Determining the
Tr

PERPENDICULAR AND
INTERSECTING LINES AND
PLANES
Number 6
Maranan, Llamas, Santos, Tianco
LINE TO LINE
CONCEPT:
Perpendicular Lines will appear
perpendicular in views where ONE or
BOTH of the lines are in TRUE LENGTH
(TL)
Ex. 1 Is AB perpendicular to CD?
A

Engineering Drawing
Geometric Construction 3
ES 1
Arc of radius R tangent to a point
on a line
R
X
Given radius R, line
XY, and point P
P
Y
Arc of radius R tangent to a point
on
a
line
1. Draw a line
perpendicular to
line XY passing
through point P.
R
X
P

Lecture 4.2
ES 1 Supplementary
Welcome to the world of 3D
Engineering Science 1!
Some Definitions
Point
Line (line segment)
A set of points bounded by two end points such
that it is arranged in a straight manner
Plane
An single element in space
A set of l

Triangles
Squares and Rectangles
Polygons
MEMBERS: CORTEZ, DEFENSOR, EBRON, NUADA,
GEOMETRIC
BY GROUP TWO
CONSTRUCTION
2
VIEWS
Circles/Arcs
Determining the Center
Drawing a Circle through 3
Points
Rectifying an Arc Length
Setting off a Given Length
al

Republic of the Philippines
Department of Education
Region IV-A CALABARZON
DIVISION OF BATANGAS
Name _
Grade and Section _
Date: _
Score: _
FIRST PERIODICAL TEST SCIENCE & HEALTH VI
Directions: Read each item carefully. Encircle the letter of the correct

CIRCUMSCRIBING A CIRCLE AROUND
TRIANGLE ABC
Given: Triangle ABC
A
B
C
CIRCUMSCRIBING A CIRCLE AROUND
TRIANGLE ABC
1. Draw a perpendicular bisector (Line DE) to
side AB.
A
D
B
E
C
CIRCUMSCRIBING A CIRCLE AROUND
TRIANGLE ABC
2. Draw a perpendicular bisecto

Republic of the Philippines
Department of Education
Region IV-CALABARZON
Division of Batangas
Balete District
Balete
S.Y. 2012-2013
Third Periodical Test in Science and Health V
Name: _
Date: _
Direction: Read carefully. Encircle the letter of the correct

NAT REVIEWER IN ENGLISH 6
Name_
Part I Reading
I. Choose the affix, which if added to the underlined word, completes the meaning of the sentence.
_1. Dad told me a story, the he _told the same story to my younger sister.
a. re
b. dis
c. mis
d. pre
_2. I l

Geometric Construction 2
Circles
Arcs
Polygon
DETERMINING THE CENTER
Arc
Circle
DETERMINING THE CENTER OF AN
ARC/CIRCLE
Given: an arc
DETERMINING THE CENTER OF AN ARC
1. Draw an arbitrary line with endpoints on the
circumference of the circle. Label the

ES 1: ENGINEERING DRAWING
Geometric Construction 1
Lines
Angles
LINES
Lines
- The shortest distance
between two points
A
- A set of points
organized that has
length and direction,
but no thickness
B
D
F
C
E
Transferring a Given Length
of a Line
Given: Li

Department of Community and Environmental Resource Planning
College of Human Ecology
University of the Philippines Los Baos
CERP 21 ENVIRONMENTAL HEALTH
First Semester, AY 2016-2017
Course Description
Nature of environmental hazards including pollution an

ES 1
ENGINEERING
DRAWING
DIMENSIONING
DIMENSIONING
The process of measuring the cubic space
that a package or object occupies.
Use:
Production
and Industry
Accessibility,
work
Accuracy, and Precision in the line of
LINES USED IN DIMENSIONING
Dimension L

MULTIVIEW
PROJECTION
Alberto
Encarnacion
Fernando
Ferrer
Mercado
Sy
What is multiview projection?
Getting the two-dimensional representation of the various
faces of a three-dimensional figure, namely the front view,
top view and the right side view (in t

Section Views
Section Views
The technique called section views is
used to improve the visualization of new
designs, clarify multiview drawings and
facilitate the dimensioning of drawings.
For mechanical drawings section views
are used to reveal interior

Line of Intersection
between Planes
Line of Intesection
P
C
Given:
Two views
of plane
ABC and
MNOP.
O
B
A
M
N
HRP
FRP
C
N
B
M
O
A
P
Line of Intersection
Steps:
1.Determine the piercing
point R of Line MP on Plane
ABC, then locate the piercing
point S of

Lines and Planes
True Length
Point View
Edge View of a Plane
True Size of a Plane
Introduction
Concept: The location of the points in a space
is defined by the intersection of the
projection lines from one view to another.
The primary reference planes a

Lines and Planes
Parallel Lines and Planes
Relationship Between Two Lines
1.
2.
3.
4.
Parallel
Perpendicular
Intersecting
Skew
Parallel Lines
Concept:
If lines are parallel
in space, they will
appear parallel in
any view taken of
them.
In general, lines

Lines and Planes
Perpendicular
Intersecting
Perpendicular Lines
Concept:
When lines are perpendicular to each other, they
will appear perpendicular in a view in which ONE
or BOTH of the lines are in TRUE LENGTH (TL).
Perpendicular Lines
D
Determining if t

ANGLE BETWEEN PLANES
Angle Between Planes
Concept:
The true angle between two surfaces can
be found by construc:ng an auxiliary view
wherein the LOI appears as a point or both
surfaces appear in edge view.
Angle Be

Visibility of Overlapping Lines & Planes ES 1
To determine the visibility of lines, you have
to check each apparent* point of
intersection in each view.
In the case of intersecting planes, first check
the apparent* points of intersection that
are closest

MultiviewProjectio
n
Classification of Sketches:
Each classification of sketch
has a particular purpose
from production useto
technical illustration.
Projection types:
Heres how the same object may look using different
projection styles.
We have already s

Piercing Point
Edge View Method
Cutting-plane Method
Edge View Method
Given: Line 12 and Plane ABC
C
C
1
Piercing Point
1
AB
B
TL
HRP
FRP
2
HRP
ARP
A
1
A
B
C
2
2
Cutting - Plane Method
Given: Line 12 and Plane ABC
C
1
x
y
HRP
FRP
2
A
A
B
1
y
B
x
C
2
Vis

Skew Lines
Perpendicular Lines and distance between
Skew Lines
P
AR
HR
A
Determine the common perpendicular
between the two lines.
P
SD | ARP
CP
CD
A
D
C
CP
B
B
HRP
FRP
B
CP
A
C
D
Common perpendiculars of lines which appear
perpendicular to the reference