Solved Examples and Worksheet for Exploring Intersecting, Parallel and Perpendicular Lines
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.
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
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
A. Market road and Indiana road
B. New York road and Illinois road
C. New York road and Michigan road
D. Pennsylvania road and Vermont road
Step: 1
Lines that do not cross are said to be parallel.
Step: 2
New York road and Michigan road on the map look parallel.
Correct Answer is : New York road and Michigan road
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
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
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.
Correct Answer is : rectangle
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
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
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Related Worksheet
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