G8Q4 L04 - PARALLEL AND PERPENDICULAR LINES

Are you ready and excited to learn?

Word Cloud

In a scale from 1-10, how ready and excited are you to learn new math concept/s today?

ACTIVITY:
REunlocking of Terms

Multiple Choice

WHAT IS PARRALEL LINES.

• Parallel lines are lines that intersect at a right angle.
• Parallel lines are lines that meet at a single point.
• Parallel lines are lines that curve away from each other.
• Parallel lines are lines that do not intersect and are equidistant from each other.

Multiple Choice

WHAT IS INTERSECTING LINES.

• Intersecting lines are lines that cross each other at a point.
• Lines that are completely separate and do not touch.
• Curved lines that bend away from each other.
• Parallel lines that never meet.

Multiple Choice

WHAT IS ADJACENT ANGLES?

• Adjacent angles are angles that are formed by two parallel lines.
• Adjacent angles are angles that are always equal.
• Adjacent angles are angles that have a common vertex and a common side.
• Adjacent angles are angles that do not share a common vertex.

Multiple Choice

WHAT ARE SUPPLEMENTARY ANGLES?

• Two angles that are adjacent to each other.
• Two angles that sum to 180 degrees.
• Two angles that are equal in measure.
• Two angles that sum to 90 degrees.

Multiple Choice

WHAT ARE VERTICAL ANGLES?

• Vertical angles are supplementary angles.
• Vertical angles are formed by parallel lines.
• Vertical angles are always acute angles.
• Vertical angles are equal angles formed by the intersection of two lines.

What have you noticed about the arrangement of paths or corridors in the St. La Salle Building?

If these corridors were represented as lines, how would you describe their relationship?

What do you notice about their angles?

What do you think is this red line called?

Fill in the Blanks

PARRALEL
LINES CUT BY A TRANSVERSAL

Learning Targets

1. I can prove the properties of parallel lines cut by a transversal.

2. I can classify angles formed by parallel lines cut by a transversal.

3. I can solve for measurements of angles formed by parallel lines cut by a transversal.

ACTIVITY 7.
Exploring Parallel Lines, and Pairs of Angles

In this activity, you will discover and generalize the Parallel Lines, and Pairs of Angles through hands-on exploration and observation. In your group in 15 minutes, you will be given a worksheet for you to work on. Scan the QR code given in that particular worksheet to start the activity. Do this activity in voice level 2.

QUICK CHECK!

Multiple Choice

The straight lines AB and CD:

• The lines AB and CD are not parallel.
• The lines AB and CD are perpendicular.
• The lines AB and CD intersect at a right angle.
• The lines AB and CD are parallel.

Multiple Choice

AB and CD are parallel lines and EH is a transversal.

What is the size of angle EFB?

• 54 degrees

• 126 degrees

• 136 degrees

• 144 degrees

Multiple Choice

AB and CD are parallel lines and EH is a transversal.
What is the size of angle AFG?

• 59°

• 61°

• 119°
• 51°

Multiple Choice

AB and CD are parallel lines and EH is a transversal.

What is the size of angle DGH?

• 133 degrees
• 180 degrees
• 90 degrees
• 47 degrees

Multiple Choice

ST and UV are parallel lines.
c and e are:

• alternate interior angles.

• consecutive interior angles.

• supplementary angles.

• vertical angles.

Multiple Choice

ST and UV are parallel lines.

g and f are:

• g and f are vertical angles.
• g and f are alternate interior angles.
• g and f are supplementary angles.
• g and f are corresponding angles.

Multiple Choice

ST and UV are parallel lines.
d and e are:

• d and e are alternate interior angles.
• d and e are vertical angles.
• d and e are corresponding angles.
• d and e are supplementary angles.

Multiple Choice

ST and UV are parallel lines.
d and h are:

• Consecutive Interior Angle

• Corresponding Angles

• Vertical Angles

• Alternate Angles

Multiple Choice

PQ and RS are parallel lines and TW is a transversal.
The size of angle TUQ is (x + 12)° and the size of angle SVW is (3x + 48)°

What is the value of x?

• 18

• 30

• 20

• 42

Multiple Choice

AB and CD are parallel lines and EH is a transversal.
The size of angle EFB is (2x - 100)° and the size of angle CGF is (x + 52)°

What is the actual size of the Angle EFB ?

• 76°

• 52°

• 27°

• 128°

Dropdown

GENERALIZATIONS


Two ​ alternate

Select answer

formed by two parallel lines cut by a transversal have the same measure.

Two ​

Select answer

formed by two parallel lines cut by a transversal have the same measure.

Two ​

Select answer

formed by two parallel lines cut by a transversal have the same measure.

Two ​

Select answer

interior angles formed by two parallel lines cut by a transversal are supplementary.

Revisiting Learning Targets

• I can prove the properties of parallel lines cut by a transversal.

• I can classify angles formed by parallel lines cut by a transversal.

• I can solve for measurements of angles formed by parallel lines cut by a transversal.

Assignment:

Real-World Parallel & Perpendicular Exploration

• Find and take 3 pictures of real-life structures (e.g., roads, bridges, buildings, furniture) that show parallel and perpendicular relationships. Label the lines in each image and explain their relationships. Then, answer the question: Why do you think the designers used parallel or perpendicular lines in these structures? Submit your work via EduQuest.