Bridges in Mathematics Grade 2 Student Book Unit 6 Answer Key Geometry

Practicing the Bridges in Mathematics Grade 2 Student Book Answer Key Unit 6 Geometry will help students analyze their knowledge of concepts.

Bridges in Mathematics Grade 2 Student Book Answer Key Unit 6 Geometry

Bridges in Mathematics Grade 2 Student Book Unit 6 Module 2 Session 1 Answer Key

If a Triangle Is Worth One

If the area of this triangle is worth 1 unit, what is the area of each of the shapes below? Be sure to prove your answers.

Explanation:
Given:
Area of this triangle = 1 unit.
Area of Rhombus = Area of this triangle + Area of this triangle
= 1 + 1
= 2 units.
Area of Hexagon = 6 × (Area of this triangle)
= 6 × 1 unit
= 6 units.
Area of Quadrilateral = 2 × Area of this triangle
= 2 × 1 unit
= 2 units.
Area of big Rhombus = (2 × Area of this triangle) + (2 × Area of Quadrilateral)
= (2 × 1 unit) + (2 × 2 units)
= 2 + 4 units
= 6 units.
Area of Aplhabet A = (4 × Area of Quadrilateral) + Area of this triangle
= (4 × 2units) + 1 unit
= 8 + 1 units
= 9 units.

If the area of this triangle is worth 1 unit, what is the area of each of the shapes below? Be sure to prove your answers.

Explanation:
Area of the shape L = (2 × Area of Quadrilateral) + Area of Rhombus
= (2 × 2 units) + 2 units
= 4 units + 2 units
= 6 units.
Area of the shape C = (6 × Area of Rhombus) + Area of Quadrilateral
= (6 × 2 units) + 2 units
= 12 units + 2 units
= 14 units.

Bridges in Mathematics Grade 2 Student Book Unit 6 Module 2 Session 3 Answer Key

If the Four-Peg Square Is Worth One

Explanation:
Area of the Small Square = 1 unit.
Area of the Big square shape = 9 Small Squares.
= 9 × Area of the Small Square
= 9 × 1
= 9 units.
Area of the L shape = 7 Small Squares.
= 7 × Area of the Small Square
= 7 × 1
= 7 units.
Area of the Rectangle shape = 8 Small Squares.
= 8 × Area of the Small Square
= 8 × 1
= 8 units.
Area of the Square shape = 16  Small Squares.
= 16 × Area of the Small Square
= 16 × 1
= 16 units.
Area of the L shape = 6  Small Squares.
= 6 × Area of the Small Square
= 6 × 1
= 6 units.
Area of the T shape = 8 Small Squares + 2 Triangles
= (8 × Area of the Small Square) + (2 × Area of triangle)
= (8 × 1) + (2 × 1)
= 8 units + 2 units
= 10 units.
Area of the T shape = 12 Small Squares + 4 Triangles
= (12 × Area of the Small Square) + (4 × Area of triangle)
= (12 × 1) + (4 × 1)
= 12 units + 4 units
= 16 units.
Area of the Triangle shape = 3 Small Squares + 3 Triangles
= (3 × Area of the Small Square) + (3 × Area of triangle)
= (3 × 1) + (3 × 1)
= 3 units + 3 units
= 6 units.

Bridges in Mathematics Grade 2 Student Book Unit 6 Module 2 Session 5 Answer Key

Grid Paper

Bridges in Mathematics Grade 2 Student Book Unit 6 Module 3 Session 3 Answer Key

Quilt Layout Problem

We have ___________ blocks for our class quilt. Take that many colored tiles and push them together to form a rectangle without any gaps or holes. Can you make more than one rectangle? Outline the rectangles you find on grid paper, cut them out, and glue them here to record your discoveries. Label each rectangle with an addition equation to show how many tiles there are in each row.

Yes, we can make more than more than 2 rectangles.
1. Rectangle with horizontal 6 blocks.

2. Rectangle with 3 blocks.

3. Rectangle with vertical 6 blocks.

Explanation:
Given figurre:

We have 12 blocks for our class quilt.
Yes, we can make more than more than 2 rectangles.
1. Rectangle with horizontal 6 blocks.

2. Rectangle with 3 blocks.

3. Rectangle with vertical 6 blocks.

Bridges in Mathematics Grade 2 Student Book Unit 6 Module 3 Session 5 Answer Key

More Quilt Blocks

This quilt block is $$\frac{1}{2}$$ gray and $$\frac{1}{2}$$ white.
This quilt block is more than half gray.
This quilt block is more than half white.
Area of Grey region = 12 units.
Area of White region = 12 units.

Explanation:
Given: Area = 1 unit,
Grey region = 4 Squares + 8 Triangles
Area of Grey region = (4 × 1 unit) + (8 × 1 unit)
= 4 units + 8 units
= 12 units.
White region = 4 Squares + 8 Triangles
Area of White region = (4 × 1 unit) + (8 × 1 unit)
= 4 units + 8 units
= 12 units.

This quilt block is $$\frac{1}{2}$$ gray and $$\frac{1}{2}$$ white.
This quilt block is more than half gray.
This quilt block is more than half white.
Area of Grey region = 12 units.
Area of White region = 16 units.

Explanation:
Given: Area = 1 unit,
Grey region = 12 Triangles
Area of Grey region =  12 × 1 unit
= 12 units.
White region = 4 Squares + 12 Triangles
Area of White region = (4 × 1 unit) + (12 × 1 unit)
= 4 units + 12 units
= 16 units.

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