QuestionIdentify corresponding points and sides in two $H$ -shaped polygons. Find the scale factor for the smaller copy.

Studdy Solution

STEP 1

Assumptions1. The two polygons are $H$ -shaped and the second one is a scaled copy of the first one. . The scale factor is constant for all corresponding points and sides.
3. We can identify corresponding points and sides visually or by labeling.

STEP 2

To identify one pair of corresponding points, we can choose any point on the original polygon and find its corresponding point on the copied polygon. For example, we can choose the top left vertex of the original polygon and its corresponding point would be the top left vertex of the copied polygon.

STEP 3

To identify two pairs of corresponding sides, we can choose any two sides on the original polygon and find their corresponding sides on the copied polygon. For example, we can choose the top horizontal side and the left vertical side of the original polygon. Their corresponding sides would be the top horizontal side and the left vertical side of the copied polygon respectively.

STEP 4

To determine the scale factor, we need to compare the lengths of any corresponding sides in the original polygon and its copy. The scale factor is the ratio of the length of a side in the copied polygon to the length of the corresponding side in the original polygon.
$Scale\, factor = \frac{Length\, of\, side\, in\, copied\, polygon}{Length\, of\, corresponding\, side\, in\, original\, polygon}$

STEP 5

Measure the length of the chosen side in the copied polygon and the length of the corresponding side in the original polygon.
Let's denote the length of the side in the copied polygon as $_{copy}$ and the length of the corresponding side in the original polygon as $_{original}$ .

STEP 6

Substitute the measured lengths into the formula for the scale factor.
$Scale\, factor = \frac{_{copy}}{_{original}}$

STEP 7

Calculate the scale factor.
The scale factor is the value obtained from the calculation in the previous step. This is the factor by which the original polygon was scaled to produce the copied polygon.

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QuestionIdentify corresponding points and sides in two $H$ -shaped polygons. Find the scale factor for the smaller copy.

Studdy Solution

STEP 1

Assumptions1. The two polygons are $H$ -shaped and the second one is a scaled copy of the first one. . The scale factor is constant for all corresponding points and sides.
3. We can identify corresponding points and sides visually or by labeling.

STEP 2

To identify one pair of corresponding points, we can choose any point on the original polygon and find its corresponding point on the copied polygon. For example, we can choose the top left vertex of the original polygon and its corresponding point would be the top left vertex of the copied polygon.

STEP 3

STEP 4

STEP 5

Measure the length of the chosen side in the copied polygon and the length of the corresponding side in the original polygon.
Let's denote the length of the side in the copied polygon as $_{copy}$ and the length of the corresponding side in the original polygon as $_{original}$ .

STEP 6

Substitute the measured lengths into the formula for the scale factor.
$Scale\, factor = \frac{_{copy}}{_{original}}$

STEP 7

Calculate the scale factor.
The scale factor is the value obtained from the calculation in the previous step. This is the factor by which the original polygon was scaled to produce the copied polygon.

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QuestionIdentify corresponding points and sides in two HHH-shaped polygons. Find the scale factor for the smaller copy.

Studdy Solution

STEP 1

Assumptions1. The two polygons are HHH-shaped and the second one is a scaled copy of the first one. . The scale factor is constant for all corresponding points and sides.3. We can identify corresponding points and sides visually or by labeling.

STEP 2

STEP 3

STEP 4

STEP 5

STEP 6

Substitute the measured lengths into the formula for the scale factor.Scale factor=copyoriginalScale\, factor = \frac{_{copy}}{_{original}}Scalefactor=original​copy​​

STEP 7

Calculate the scale factor.The scale factor is the value obtained from the calculation in the previous step. This is the factor by which the original polygon was scaled to produce the copied polygon.

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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.

QuestionIdentify corresponding points and sides in two $H$ -shaped polygons. Find the scale factor for the smaller copy.

Assumptions1. The two polygons are $H$ -shaped and the second one is a scaled copy of the first one. . The scale factor is constant for all corresponding points and sides.
3. We can identify corresponding points and sides visually or by labeling.

Substitute the measured lengths into the formula for the scale factor.
$Scale\, factor = \frac{_{copy}}{_{original}}$

Calculate the scale factor.
The scale factor is the value obtained from the calculation in the previous step. This is the factor by which the original polygon was scaled to produce the copied polygon.