**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?