Math / Geometry

QuestionWhich is the scale factor proportion for the enlargement shown?
Not drawn to scale $\frac{1}{x}=\frac{2}{6}$ $\frac{1}{x}=\frac{6}{2}$ $\frac{1}{6}=\frac{2}{x}$ 1 . A Mark this and return Save and Exit

Studdy Solution

STEP 1

What is this asking? We need to find the correct proportion that represents how the smaller parallelogram was enlarged to the bigger one. Watch out! Make sure you match corresponding sides of the parallelograms correctly!
It's easy to mix them up.

STEP 2

1. Set up the proportion
2. Find the matching sides

STEP 3

We can write the proportion as a fraction: \frac{\mbox{small side}}{\mbox{big side}} = \frac{\mbox{another small side}}{\mbox{another big side}}.
This shows how the sides relate to each other in the enlargement.

STEP 4

Let's pick the side of the small parallelogram with length $1$ inch as our first small side.

STEP 5

The $1$ -inch side on the small parallelogram corresponds to the $x$ -inch side on the big parallelogram.
They are in the same position on both shapes.
So, our matching big side is $x$ inches.

STEP 6

Now, let's pick the other side of the small parallelogram, which is $2$ inches long, as our second small side.

STEP 7

The $2$ -inch side on the small parallelogram corresponds to the $6$ -inch side on the big parallelogram.
So, our matching big side is $6$ inches.

STEP 8

Now we can plug our chosen sides into the proportion: \frac{\mbox{small side}}{\mbox{big side}} = \frac{\mbox{another small side}}{\mbox{another big side}} becomes $\frac{1}{x} = \frac{2}{6}$ .

STEP 9

The correct proportion is $\frac{1}{x} = \frac{2}{6}$ .

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QuestionWhich is the scale factor proportion for the enlargement shown?
Not drawn to scale $\frac{1}{x}=\frac{2}{6}$ $\frac{1}{x}=\frac{6}{2}$ $\frac{1}{6}=\frac{2}{x}$ 1 . A Mark this and return Save and Exit

Studdy Solution

STEP 1

What is this asking? We need to find the correct proportion that represents how the smaller parallelogram was enlarged to the bigger one. Watch out! Make sure you match corresponding sides of the parallelograms correctly!
It's easy to mix them up.

STEP 2

1. Set up the proportion
2. Find the matching sides

STEP 3

We can write the proportion as a fraction: \frac{\mbox{small side}}{\mbox{big side}} = \frac{\mbox{another small side}}{\mbox{another big side}}.
This shows how the sides relate to each other in the enlargement.

STEP 4

Let's pick the side of the small parallelogram with length $1$ inch as our first small side.

STEP 5

The $1$ -inch side on the small parallelogram corresponds to the $x$ -inch side on the big parallelogram.
They are in the same position on both shapes.
So, our matching big side is $x$ inches.

STEP 6

Now, let's pick the other side of the small parallelogram, which is $2$ inches long, as our second small side.

STEP 7

The $2$ -inch side on the small parallelogram corresponds to the $6$ -inch side on the big parallelogram.
So, our matching big side is $6$ inches.

STEP 8

Now we can plug our chosen sides into the proportion: \frac{\mbox{small side}}{\mbox{big side}} = \frac{\mbox{another small side}}{\mbox{another big side}} becomes $\frac{1}{x} = \frac{2}{6}$ .

STEP 9

The correct proportion is $\frac{1}{x} = \frac{2}{6}$ .

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QuestionWhich is the scale factor proportion for the enlargement shown?Not drawn to scale 1x=26\frac{1}{x}=\frac{2}{6}x1​=62​ 1x=62\frac{1}{x}=\frac{6}{2}x1​=26​ 16=2x\frac{1}{6}=\frac{2}{x}61​=x2​ 1 . A Mark this and return Save and Exit

Studdy Solution

STEP 1

What is this asking? We need to find the correct proportion that represents how the smaller parallelogram was enlarged to the bigger one. Watch out! Make sure you match corresponding sides of the parallelograms correctly!It's easy to mix them up.

STEP 2

1. Set up the proportion2. Find the matching sides

STEP 3

We can write the proportion as a fraction: \frac{\mbox{small side}}{\mbox{big side}} = \frac{\mbox{another small side}}{\mbox{another big side}}.This shows how the sides relate to each other in the enlargement.

STEP 4

Let's pick the side of the small parallelogram with length 111 inch as our **first small side**.

STEP 5

The 111-inch side on the small parallelogram corresponds to the xxx-inch side on the big parallelogram.They are in the same position on both shapes.So, our **matching big side** is xxx inches.

STEP 6

Now, let's pick the other side of the small parallelogram, which is 222 inches long, as our **second small side**.

STEP 7

The 222-inch side on the small parallelogram corresponds to the 666-inch side on the big parallelogram.So, our **matching big side** is 666 inches.

STEP 8

Now we can plug our chosen sides into the proportion: \frac{\mbox{small side}}{\mbox{big side}} = \frac{\mbox{another small side}}{\mbox{another big side}} becomes 1x=26\frac{1}{x} = \frac{2}{6}x1​=62​.

STEP 9

The correct proportion is 1x=26\frac{1}{x} = \frac{2}{6}x1​=62​.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionWhich is the scale factor proportion for the enlargement shown?
Not drawn to scale $\frac{1}{x}=\frac{2}{6}$ $\frac{1}{x}=\frac{6}{2}$ $\frac{1}{6}=\frac{2}{x}$ 1 . A Mark this and return Save and Exit

What is this asking? We need to find the correct proportion that represents how the smaller parallelogram was enlarged to the bigger one. Watch out! Make sure you match corresponding sides of the parallelograms correctly!
It's easy to mix them up.

1. Set up the proportion
2. Find the matching sides

We can write the proportion as a fraction: \frac{\mbox{small side}}{\mbox{big side}} = \frac{\mbox{another small side}}{\mbox{another big side}}.
This shows how the sides relate to each other in the enlargement.

Let's pick the side of the small parallelogram with length $1$ inch as our first small side.

The $1$ -inch side on the small parallelogram corresponds to the $x$ -inch side on the big parallelogram.
They are in the same position on both shapes.
So, our matching big side is $x$ inches.

Now, let's pick the other side of the small parallelogram, which is $2$ inches long, as our second small side.

The $2$ -inch side on the small parallelogram corresponds to the $6$ -inch side on the big parallelogram.
So, our matching big side is $6$ inches.

Now we can plug our chosen sides into the proportion: \frac{\mbox{small side}}{\mbox{big side}} = \frac{\mbox{another small side}}{\mbox{another big side}} becomes $\frac{1}{x} = \frac{2}{6}$ .

The correct proportion is $\frac{1}{x} = \frac{2}{6}$ .