{{asɛmtiNe Ɔkyerɛwfo}} | Nhomakorabea | Nneɛma a ɛma wotumi yɛ ade

An architect is designing an office building that will have a width of 50 feet, a length of 50 feet and a height of 100 feet. A scale model of the building has a width of 18 inches, a length of 18 inches and a height of 36 inches. A diagram showing a building model and its real dimensions. The real building is 100 ft high and the model is 36 in high. The building's real width is 50 ft and the model's width is 18 in.

1

The entrance to the office building is 8 feet high by 7 feet wide. What is the correct height and width of the entrance on the scale model? Round your answers to the nearest tenth.

2.4 inches by 2.8 inches

2.5 inches by 2.9 inches

3.5 inches by 4 inches

5 inches by 5.8 inches

1

The triangles shown below are similar. Which of the following statements is FALSE?

$ \frac{AB}{XY} = \frac{BC}{YZ} $
Equation showing proportional sides of triangles: BC/YZ = AC/XY.

$ \triangle ABC \sim \triangle XYZ $
Equation stating triangle similarity: ΔABC ~ ΔXYZ.

$ \frac{BC}{YZ} = \frac{AC}{XY} $
Equation showing proportional sides of triangles: BC/YZ = AC/XY.

$ \frac{CA}{ZX} = \frac{BA}{YX} $
Equation showing proportional sides of triangles: CA/ZX = BA/YX.

$ \frac{AC}{XZ} = \frac{AB}{XY} $
Equation showing proportional sides of triangles: AC/XZ = AB/XY.

1

The perimeter of a rectangle is 36 units. The ratio of the lengths to the sides is 2:7. What are the lengths of the sides?

1

Not Similar

Similar by $AA$

Similar by $SAS$

Similar by $SSS$

1

Not Similar

Similar by $AA$

Similar by $SAS$

Similar by $SSS$

1

Not Similar

Similar by $AA$

Similar by $SAS$

Similar by $SSS$

1

Not Similar

Similar by $AA$

Similar by $SAS$

Similar by $SSS$

1

Not Similar

Similar by $AA$

Similar by $SAS$

Similar by $SSS$

1

Given that the triangles shown below are similar, what is the length of AC to the nearest tenth?

$18$

$18.1$

$20$

$20.1$

The dilation of to from point D is shown. Two triangles, △ABC in red with sides 10 and 24, and △A'B'C' in blue with side 42, are shown sharing a common vertex along with point D.

1

Which of the following choices best describes the type of dilation and the scale factor?

Reduction, $ k = \frac{4}{7} $

Reduction, $ k = \frac{7}{4} $

Enlargement, $ k = \frac{4}{7} $

Enlargement, $ k = \frac{7}{4} $

1

The dilation of to from point D is shown.

null

1

Which of the choices best describes the type of dilation and the scale factor?

Reduction, $k = \frac{13}{22}$

Reduction, $k = \frac{22}{13}$

Enlargement, $k = \frac{13}{22}$

Enlargement, $k = \frac{22}{13}$

1

Answer the following questions using the diagram below

null

1

Which proportion can be used to solve for BD to the nearest tenth?

$\frac{35}{24} = \frac{40 - BD}{BD}$

$\frac{35}{24} = \frac{BD - 40}{BD}$

$\frac{24}{35} = \frac{40 - BD}{BD}$

$\frac{24}{35} = \frac{BD - 40}{BD}$

1

Solve a proportion to determine the value of BD to the nearest tenth.

1

Find the distance labeled x and y in the diagram. Round answers to the nearest tenth.

1

The two parallelograms shown are similar. What are the values of x and y?

1

Geometry: Unit 4 Similarity REVIEW for you Fields

Geometry: Unit 4 Similarity REVIEW for you Fields

The entrance to the office building is 8 feet high by 7 feet wide. What is the correct height and width of the entrance on the scale model? Round your answers to the nearest tenth.

The triangles shown below are similar. Which of the following statements is FALSE?

The perimeter of a rectangle is 36 units. The ratio of the lengths to the sides is 2:7. What are the lengths of the sides?

Given that the triangles shown below are similar, what is the length of AC to the nearest tenth?

Which of the following choices best describes the type of dilation and the scale factor?

Which of the choices best describes the type of dilation and the scale factor?

Which proportion can be used to solve for BD to the nearest tenth?

Solve a proportion to determine the value of BD to the nearest tenth.

Find the distance labeled x and y in the diagram. Round answers to the nearest tenth.

Given , what is the length of $CE$?

The two parallelograms shown are similar. What are the values of x and y?

Given that $\angle RQT \cong \angle SQT$, what is the value of $RT$ in the diagram?

The entrance to the office building is 8 feet high by 7 feet wide. What is the correct height and width of the entrance on the scale model? Round your answers to the nearest tenth.

The windows of the scale model each measure 3 inches wide and 2 inches high. What is the correct height and width of the windows on the actual building? Round your answers to the nearest tenth.

The triangles shown below are similar. Which of the following statements is FALSE?

The perimeter of a rectangle is 36 units. The ratio of the lengths to the sides is 2:7. What are the lengths of the sides?

Given that the triangles shown below are similar, what is the length of AC to the nearest tenth?

Which of the following choices best describes the type of dilation and the scale factor?

What is the value of A'B' to the nearest tenth?

Which of the choices best describes the type of dilation and the scale factor?

What is the value of A'B' to the nearest tenth?

Which proportion can be used to solve for BD to the nearest tenth?

Solve a proportion to determine the value of BD to the nearest tenth.

Find the distance labeled x and y in the diagram. Round answers to the nearest tenth.

Given , what is the length of $CE$?

Given that , what is the perimeter of $\triangle ABC$?

The two parallelograms shown are similar. What are the values of x and y?

Given that $\angle RQT \cong \angle SQT$, what is the value of $RT$ in the diagram?

The windows of the scale model each measure 3 inches wide and 2 inches high. What is the correct height and width of the windows on the actual building? Round your answers to the nearest tenth.

What is the value of A'B' to the nearest tenth?

What is the value of A'B' to the nearest tenth?

Given that , what is the perimeter of $\triangle ABC$?