TOPIC 7 Practice

If the highlighted sides on the figure shown have the same proportional relationship and the highlighted angles are ≅ to each other, what postulate can prove the triangles ~ to each other?

• SSS ~

• AA ~

• SAS ~

• The triangles are not similar to each other.

If the highlighted sides on the figure shown have the same proportional relationship and <A ≅ <D, what postulate can prove the triangles are similar to each other?

• SSS ~

• AA ~

• SAS ~

• The triangles are not similar to each other.

Choose the correct scale factor that maps for polygon PNDM to polygon P'N'D'M':

• 2
• 3
• 1/3
• 1/2

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)

Determine whether the triangles are similar (name the postulate or theorem you used).

• SSS ~

• AA ~

• SAS ~

• IDK, but I do see the vertical angles and alternate interior angles.

Tell whether the two figures are congruent.

• Yes, same size and same shape
• No, same shape but different sizes
• No, different size and different shapes

The two rectangles are scale drawings. What is the measurement of x?

• 21
• 1.25
• 20
• 4

Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?

• 25 inches
• 60 inches
• 30 inches

Find the perimeter of the large triangle.

• 24
• 36
• 12
• 54

A map has a scale of 1 cm = 5 km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 

• 1.7 km
• 5 km
• 15 km
• 17 km