Scale Drawings and SImilar Figures

Last updated over 4 years ago

13 questions

1

Library

Scale Drawings and SImilar Figures

Last updated over 4 years ago

13 questions

1

What properties make two shapes similar?

1

Here is a polygon. Draw a similar polyon using a scale factor of 1/2.

1

The scale of a map says that 4 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 4 kilometers?

1

The scale of a map says that 4 cm represents 5 km. What is the actual number of kilometers that is represented by 5 centimeters on the map?

1

Tyler has two different maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 40 cm. The scale on the second map is 1 cm to 50 km. What is the distance from Cleveland to Cincinnati on the second map? Explain your reasoning.

1

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Draw and label the dimensions of a scale drawing of Elena’s bedroom, using a scale of 1 to 50.

1

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Elena’s bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know.

1

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Elena’s bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed?

1

What properties make two shapes similar?

Quadrilateral ABCD is similar to quadrilateral EFGH. Select all of the true statements.

Segment EF is twice as long as segment AB .

Segment CD is twice as long as segment FG .

The measure of angle HEF is twice the measure of angle DAB .

The length of segment EH is 16 units.

The area of EFGH is twice the area of ABCD .

Suppose Rectangle A ~ Rectangle B. Rectangle A measures 9 inches by 3 inches. Select all of the measurement pairs that could be the dimensions of Rectangle B.

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of the actual park, in square yards?

35

200

1,400

56,000

Here is a polygon. Draw a similar polyon using a scale factor of 1/2.

The scale of a map says that 4 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 4 kilometers?

The scale of a map says that 4 cm represents 5 km. What is the actual number of kilometers that is represented by 5 centimeters on the map?

Tyler has two different maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 40 cm. The scale on the second map is 1 cm to 50 km. What is the distance from Cleveland to Cincinnati on the second map? Explain your reasoning.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Draw and label the dimensions of a scale drawing of Elena’s bedroom, using a scale of 1 to 50.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Elena’s bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Elena’s bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed?

Suppose hexagon LMNPQ were to reflect across the x-axis. What would be the new coordinates of points L', P' and Q'?

L'(2,4), P' (0,0), Q' (0,2)

L'(2,-4), P' (0,0), Q' (0,-2)

L' (2,-4), P' (0,0), Q' (0,-2)

L'(-2,4), P' (0,0), Q' (0,-2)

Suppose hexagon LMNPQ were to translate
. What would be the new coordinates of points L', P' and Q'?

Quadrilateral ABCD is similar to quadrilateral  EFGH. Select all of the true statements.

Segment EF is twice as long as segment AB .

Segment CD is twice as long as segment FG .

The measure of angle HEF is twice the measure of angle DAB .

The length of segment EH is 16 units.

The area of EFGH is twice the area of ABCD .

Suppose Rectangle A ~ Rectangle B. Rectangle A measures 9 inches by 3 inches. Select all of the measurement pairs that could be the dimensions of Rectangle B.

4.5 inches by 1.5 inches

8 inches by 2 inches

10 inches by 4 inches

13.5 inches by 4.5 inches

90 inches by 30 inches

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of the actual park, in square yards?

35

200

1,400

56,000

 Suppose hexagon LMNPQ were to reflect across the x-axis.  What would be the new coordinates of  points L', P' and Q'?

L'(2,4), P' (0,0), Q' (0,2)

L'(2,-4), P' (0,0), Q' (0,-2)

L' (2,-4), P' (0,0), Q' (0,-2)

L'(-2,4), P' (0,0), Q' (0,-2)

 Suppose hexagon LMNPQ were to translate 
.  What would be the new coordinates of  points L', P' and Q'?

L'(5,5), P' (2,1), Q' (2,3)

L'(3,2), P' (1,-2), Q' (1,0)

L' (3,4), P' (1,0), Q' (1,2)

L'(2,3), P' (-2,1), Q' (0,1)

Scale Drawings and SImilar Figures

Scale Drawings and SImilar Figures

What properties make two shapes similar?

Here is a polygon. Draw a similar polyon using a scale factor of 1/2.

The scale of a map says that 4 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 4 kilometers?

The scale of a map says that 4 cm represents 5 km. What is the actual number of kilometers that is represented by 5 centimeters on the map?

Tyler has two different maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 40 cm. The scale on the second map is 1 cm to 50 km. What is the distance from Cleveland to Cincinnati on the second map? Explain your reasoning.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Draw and label the dimensions of a scale drawing of Elena’s bedroom, using a scale of 1 to 50.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Elena’s bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Elena’s bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed?

What properties make two shapes similar?

Quadrilateral ABCD is similar to quadrilateral EFGH. Select all of the true statements.

Suppose Rectangle A ~ Rectangle B. Rectangle A measures 9 inches by 3 inches. Select all of the measurement pairs that could be the dimensions of Rectangle B.

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of the actual park, in square yards?

Here is a polygon. Draw a similar polyon using a scale factor of 1/2.

The scale of a map says that 4 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 4 kilometers?

The scale of a map says that 4 cm represents 5 km. What is the actual number of kilometers that is represented by 5 centimeters on the map?

Tyler has two different maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 40 cm. The scale on the second map is 1 cm to 50 km. What is the distance from Cleveland to Cincinnati on the second map? Explain your reasoning.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Draw and label the dimensions of a scale drawing of Elena’s bedroom, using a scale of 1 to 50.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Elena’s bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Elena’s bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed?

Suppose hexagon LMNPQ were to reflect across the x-axis. What would be the new coordinates of points L', P' and Q'?

Suppose hexagon LMNPQ were to translate . What would be the new coordinates of points L', P' and Q'?

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Draw and label the dimensions of a scale drawing of Elena’s bedroom, using a scale of 1 to 50.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Elena’s bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Elena’s bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed?

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Draw and label the dimensions of a scale drawing of Elena’s bedroom, using a scale of 1 to 50.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Elena’s bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Elena’s bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed?

Suppose hexagon LMNPQ were to translate
. What would be the new coordinates of points L', P' and Q'?