Shape and Space

Question 1

ray - part of a line, one endpoint

angle - formed by 2 rays that have same endpoint

vertex - endpoint of angle

Answer 1

Question 2

perpendicular line segments

lines at right angles to eachother 90⁰

Question 3

Angle - define (4)

Answer 3

• formed by two rays that share same endpoint
• 3 points
• name of angle tells name of each point
• Measured in degrees

Question 4

acute angle

Answer 4

measures less tha 90⁰

Question 5

right angle

Answer 5

measures exactly 90⁰

Question 6

obtuse angle

Answer 6

measures more than 90⁰ but less than 180⁰

Question 7

straight angle

Answer 7

measures exactly 180⁰

Question 8

reflex angle

Answer 8

measures more than 180⁰

Question 9

Protractor (how to use)

measures and constructs angles

Answer 9

1. place centre of protractor on vertex
2. line up zero line with the ray of the angle
3. use proper scale to determine degree of angle (starts at 0)

Question 10

When drawing an angle - steps (3)

Answer 10

1. Draw the ray that represents the zero line
2. Measure the angle, place protractor on the ray so midpoint of protractor lines up on endpoint of ray

Tip: ray points to right, use the inside of scale

Tip: ray points to left, use the outside scale

ALWAYS start measuring at 0⁰

1. Make a tick mark on the spot. Draw the angle by removing protractor, join tick mark to endpoint of original ray (mark the angle wit small arc, and label)

Question 11

Answer 11

practice by drawing examples of each

Question 12

interior angle

angle inside a polygon

add up to 180⁰

Answer 12

Question 13

interior angles of quadrilateral = 360⁰

Answer 13

Question 14

To find missing interior angle, subtract given angles from total interior angles for the triangle or quadrilateral

Answer 14

Step 1

Identify known angles (40 and 70)

Step 2

Add them together (40+70=110)

Step 3

Determine missing measure (triangles interior angles always =180⁰ )

180-110=70⁰

Question 15

Triangles

• 3 sides
• three angles

acute triange - 3 acute angles (less than 90⁰ each)

right triangle - 1 right angle (90⁰ )

obtuse triangle - 1 obtuse angle (greater than 90⁰ and less than 180⁰)

isosceles triangle - 2 equal sides and 2 equal angles

equilateral triangle - 3 equal sides and 3 equal angles

scalene triangle - no equal sides or angles

Answer 15

Question 16

Draw Triangles

use protractor and ruler

Example:

Draw isosceles triangle with a base of 4cm and two congruent angles of 45⁰

Answer 16

Step 1: Draw the base, 4 cm long

Step 2: Construct the two angles

At one endpoint, construct a 45⁰ using protractor

At other endpoint, construct another 45⁰

Step 3: Construct the third angle

the two rays will intersect to form third angle