### Present Remotely

Send the link below via email or IM

Present to your audience

• Invited audience members will follow you as you navigate and present
• People invited to a presentation do not need a Prezi account
• This link expires 10 minutes after you close the presentation
• A maximum of 30 users can follow your presentation

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

# Geometry 5th Grade

No description
by

on 29 July 2014

Report abuse

#### Transcript of Geometry 5th Grade

5th Grade Geometry: Lines, Shapes, Angles, & More
LINE, LINE SEGMENT, & RAYS
LINES
Parallel Lines- are parallel if they are always the same distance apart, and will never meet. Parallel lines also point in the same direction

Perpendicular Lines- Lines that are at right angles (90°) to each other

Transversal Line- A line that crosses at least two other lines.

What is this figure?

line
line segment
ray
QUESTION
MY CITY PROJECT
ANGLES
POLYGONS
How many sides does a
Heptagon
have?
___ Sides
Is this a polygon?

yes
no
What is this?

line
line segment
ray
QUESTION

1a –b. Two streets (lines) that are parallel to each other.
2. A diagonal street (line) that is a transversal to the parallel streets.
3. Add two coffee shops that are located in corresponding angles.
4. Draw two gas stations that are located in alternate interior angles.
5. Add two grocery stores located in alternate exterior angles.
6a – b. Two streets (lines) that are perpendicular to each other.
7. A street that is a ray.
8. A street that is a line segment.
9. Draw a school in the shape of a trapezoid that is at an obtuse angle.
10. Draw a post office in the shape of a rhombus located at an acute angle.
11. Draw a courthouse in the shape of a pentagon located at a right angle.
12. a-b-c. Draw three swimming pools, each colored blue: 1 scalene, 1 isosceles, and 1 equilateral triangle.
13. Draw a hexagonal building (or neighborhood)
14. Draw an octagonal building (or neighborhood)
15. Draw a decagonal building (or neighborhood)

TRIANGLES
Scalene- A triangle with all sides of different lengths.
No sides are equal and no angles are equal.

Isosceles-A triangle with two equal sides. The angles opposite the equal sides are also equal.

Equilateral- A triangle with all three sides of equal length. All the angles will be 60 degrees.°
PAIRS OF ANGLES
Corresponding Angles- The angles in matching corners
1 and 5
2 and 6
3 and 7
4 and 8

Alternate Interior Angles- The pairs of angles on opposite sides of
the transversal but inside the two lines
3 and 6
4 and 5

Alternate Exterior Angles- The pairs of angles on opposite sides of the transversal but outside the two lines
1 and 8
2 and 7

Obtuse Angle- An Obtuse Angle is more than 90 degrees but less than 180°degrees

Acute Angle- is less than 90 degrees°

Right Angle- an internal angle which is equal to 90 degrees°
SHAPES
Line- is straight (no curves), has no thickness, and extends in both directions without end (infinitely).

Line Segment- part of a line connecting two points.
It has definite end points.

Ray- A line with a start point but no end point (it goes to infinity)
Your city must include:
QUESTION
A polygon is a plane (2D) shape with straight sides.
To be a regular polygon all the sides and angles must be the same:
Triangle-3 sides
Square-4 sides
Pentagon-5 sides
Hexagon-6 sides
Octagon-8 sides
Nonagon-9 sides
Decagon-10 sides
Heptagon-7 sides
A
Rhombus
is a flat shape with 4 equal straight sides. It looks like a diamond. All sides have equal length. Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram). The altitude is the distance at right angles to two sides.

A
trapezoid
is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel. It has a pair of parallel sides
It is called an Isosceles trapezoid when the sides that aren't parallel are equal in length and both angles coming from a parallel side are equal.

What are these angles?
Full transcript