5 th Grade Geometry Lines & Angles Lauri Hagie IDT 503 Final Project.

27
5 5 th th Grade Grade Geometry Geometry Lines & Angles Lines & Angles Lauri Hagie Lauri Hagie IDT 503 IDT 503 Final Project Final Project

Transcript of 5 th Grade Geometry Lines & Angles Lauri Hagie IDT 503 Final Project.

55thth Grade Geometry Grade GeometryLines & AnglesLines & Angles

55thth Grade Geometry Grade GeometryLines & AnglesLines & Angles

Lauri HagieLauri HagieIDT 503IDT 503

Final ProjectFinal Project

Lines

• Lines have arrows on each end.

• Lines do not end; they go on and on forever in both directions.

Line Segments• Line segments

may also be called segments.

• Line segments are part of a line.

• Line segments do not have arrows.

Rays• Rays begin with a

point at one end.

• Rays go on and on forever in only one direction.

• Rays have an arrow on one end.

Horizontal• Lines, segments, and

rays may be drawn horizontally.

• Horizontal means level with the horizon.

• The horizon is the line in the distance where the land and the sky meet.

Horizontal Line

Horizontal Segment

Horizontal Rays

Vertical

• Lines, segments, and rays may be drawn vertically.

• Vertical means straight up and down.

Vertical Line

Vertical Segment

Vertical Rays

Oblique

• Lines, segments, and rays may be oblique.

• Oblique means slanted.

Oblique Segment

Oblique Rays

Oblique Line

Parallel• Lines, segments, and

rays may be parallel.

• Parallel lines go in the same direction and will never cross over each other.

• Parallel lines can be horizontal, vertical or oblique.

Parallel, Horizontal Segments

Parallel, Vertical Rays

Parallel, Oblique Lines

Intersecting

• Lines, segments, and rays may cross over each other.

• We call this intersecting.

Intersecting Segments

Intersecting Rays

Intersecting Lines

Perpendicular

• Lines, segments, and rays may be perpendicular.

• When lines intersect and form square corners, we call them perpendicular.

Perpendicular Segments

Perpendicular Rays

Perpendicular Lines

Angles• Angles form when lines, segments,

or rays intersect.

• There are 3 types of angles:– Acute– Right– Obtuse

Right Angles• Right angles are 90

• They form square corners.

Acute Angles• Acute angles are less than 90

• “A cute” little angle.

Obtuse Angles

• Obtuse angles are greater than 90

Quiz Time!Name this figure:

Line Segment Ray

Correct!Way to go,

You are right!

Sorry…Your answer

was not correct. Try again.

Quiz Time!Name this figure:

Horizontal Vertical Oblique

Correct!Way to go,

You are right!

Sorry…Your answer

was not correct. Try again.

Quiz Time!Name this figure:

Parallel Perpendicular

Correct!Way to go,

You are right!

Sorry…Your answer

was not correct. Try again.

Quiz Time!Name this figure:

Acute Right Obtuse

Correct!Way to go,

You are right!

Sorry…Your answer

was not correct. Try again.

The EndYou are now a 5th grade expert

in geometry!

Hake, S., & Saxon, J. (2001) Math 65: an incremental development, 2nd edition. Norman, OK: Saxon Publishers, Inc.