#### Solved Examples and Worksheet for Exploring Intersecting, Parallel and Perpendicular Lines

Q1Identify the pairs of parallel line segments in the figure.

A. AB and CD, EF and GH.
B. AB and GH, CD and EF.
C. AB and EF, CD and GH.
D. None of the above

Step: 1
In the figure, CD is parallel to AB and EF is parallel to GH.
Step: 2
So, AB and CD, EF and GH are the pairs of parallel line segments.
Correct Answer is :   AB and CD, EF and GH.
Q2How many pairs of parallel lines are there in the figure?

A. 2
B. 4
C. 1
D. 8

Step: 1
From the figure, AB is parallel to CD and MN is parallel to OP.
Step: 2
Number of pairs of parallel lines in the figure = 2.
Q3In a plane, if two lines are parallel to a third line, then they are

A. not parallel to each other
B. perpendicular to each other
C. parallel to each other
D. intersecting each other

Step: 1

Step: 2
In a plane, if two lines are parallel to a third line, then they are parallel to each other.
Correct Answer is :   parallel to each other
Q4Which figure shows a pair of lines that are neither parallel nor perpendicular to each other?

A. Figure 3
B. Figure 4
C. Figure 2
D. Figure 1

Step: 1
Parallel lines are the lines in the same plane that do not intersect.
Step: 2
The lines in Figure 1 and Figure 4 represent parallel lines.
Step: 3
Lines that meet or cross one another at right angles are perpendicular to one another.
Step: 4
The lines in Figure 2 represent perpendicular lines.
Step: 5
The lines in Figure 3 are neither parallel nor perpendicular lines.
Correct Answer is :   Figure 3
Q5Which two streets shown on the map look parallel?

Step: 1
Lines that do not cross are said to be parallel.
Step: 2
Q6Which two streets shown in the map look parallel?

A. Langdon Street and Park Street
B. Park Street and University Avenue
C. Lake Street and Langdon Street
D. Lake Street and Park Street

Step: 1
Lines that do not cross are said to be parallel.
Step: 2
Lake Street and Park Street shown on the map look parallel.
Correct Answer is :   Lake Street and Park Street
Q7John drew a street map. Which of the streets in the map are parallel?

A. CLARK STREET and SACAGAWEA LANE
B. SACAGAWEA LANE and LEMHI PASS DRIVE
C. SACAGAWEA LANE and JOHN FREMONT STREET
D. LEWIS STREET and LEMHI PASS DRIVE

Step: 1
Lines that do not cross are said to be parallel.
Step: 2
SACAGAWEA LANE and LEMHI PASS DRIVE are parallel on the map.
Correct Answer is :   SACAGAWEA LANE and LEMHI PASS DRIVE
Q8Identify the polygon that has its opposite sides parallel and of the same length.
A. rectangle
B. triangle
C. trapezoid

Step: 1
A triangle does not have sides parallel opposite to each other.
Step: 2
A trapezoid has only one pair of sides parallel, and these sides need not be of same length.
Step: 3
In a rectangle, opposite sides are parallel and same length.
Step: 4
So, a rectangle has opposite sides parallel and the same length.
Q9Identify the pair of intersecting lines.

A. Figure 3
B. Figure 1 and Figure 2
C. Figure 1
D. Figure 2

Step: 1
If two straight lines meet at a point, they are called intersecting lines.
Step: 2
From the figure, only the two lines in Figure 3 meet at a point.
Step: 3
So, the lines shown in Figure 3 are intersecting.
Correct Answer is :   Figure 3
Q10Which of the following figures have two pairs of parallel sides?

A. Only V
B. Only IV
C. II and III only
D. I, II, III, and V

Step: 1
A trapezoid has only one pair of parallel sides.
Step: 2
A parallelogram has two pairs of parallel sides.
Step: 3
A rhombus, a rectangle, and a square are all parallelograms.
Step: 4
So a rhombus, a square, and a rectangle also have two pairs of parallel sides.
Correct Answer is :   I, II, III, and V