GEOMETRY �& SPATIAL SENSE

TERM 1

MRSTAV

GEOMETRY & SPATIAL SENSE

solve angle-relationship problems involving triangles (e.g., finding interior angles or complementary angles), intersecting lines (e.g., finding supplementary angles or opposite angles), and parallel lines and transversals (e.g., finding alternate angles or corresponding angles)

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CURRICULUM

DO IT NOW

GS

# Transversals And Pairs of Angles GS

Transversals And Pairs of Angles

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INTERSECTING LINES�& PAIRS OF ANGLES

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PARALLEL LINES

Are always the same distance apart (called "equidistant"), and will never meet.

= NEVER TOUCH!

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PARALLEL LINES

Parallel lines have so much in common.

It's a shame they will never meet!

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TRANSVERSAL

When parallel lines get crossed �by another line.

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TRANSVERSAL

These angles can be made into pairs of angles which have special names.

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CORRESPONDING ANGLES

ARE EQUAL

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ALTERNATE ANGLES

INTERIOR�(inside)

EXTERIOR�(outside)

EXTERIOR�(outside)

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ALTERNATE EXTERIOR ANGLES

ARE EQUAL

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ALTERNATE INTERIOR ANGLES

ARE EQUAL

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VERTICAL ANGLES

ARE EQUAL

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TRANSVERSAL

These angles can be made into pairs of angles which have special names.

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TRY IT:

The straight lines AB and CD:

1. Are parallel
2. Are NOT parallel – because the two given interior angles do not add to 180^o
3. Are NOT parallel - because the two given corresponding angles are not equal
4. Are NOT parallel - because the two given alternate angles are not equal

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TRY IT:

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

What is the size of angle EFB?

1. 54^o
2. 126^o
3. 136^o
4. 144^o

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TRY IT:

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

What is the size of angle EFB?

1. 54^o
2. 126^o
3. 136^o
4. 144^o

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TRY IT:

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

1. 51^o
2. 59^o
3. 61^o
4. 119^o

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TRY IT:

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

1. 47^o
2. 57^o
3. 123^o
4. 133^o

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TRY IT:

ST and UV are parallel lines.

a and h are…

1. Corresponding angles
2. Alternate interior angles
3. Vertical angles
4. Alternate exterior angles

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• Intersecting Lines
• Parallel Lines
• Equidistant
• Transversals
• Corresponding Angles
• Alternate Interior Angles
• Alternate Exterior Angles

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4(3 + 2n – 1)

5b + 4³ + 42n - 12

Find the angles when b = 4

MRSTAV

GEOMETRY & SPATIAL SENSE

• Sort and classify quadrilaterals by geometric properties, including those based on diagonals, through investigation using a variety of tools.
• solve angle-relationship problems involving triangles (e.g., finding interior angles or complementary angles), intersecting lines (e.g., finding supplementary angles or opposite angles), and parallel lines and transversals (e.g., finding alternate angles or corresponding angles)
• Construct a circle given its centre and radius, or its centre and a point on the circle, or three points on the circle.
• Investigate and describe the applications of geometric properties in the real world.

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CURRICULUM

TECH

INDEPENDENT

WORK

MATH GAME

MATH

JOURNAL

go to: student.desmos.com

code: Q5H 3G9

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CENTRES

GUIDED

WITH STAV

1 2 3 4 5

TECH

INDEPENDENT

WORK

MATH GAME

MATH

JOURNAL

go to: student.desmos.com

code: 3FF UNX

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CENTRES

GUIDED

WITH STAV

1 2 3 4 5

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DIAGNOSTIC

TEST

UNIT

TEST

UNITS

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