Similar Figures and Scale Palmer

Abigail and Grace are comparing the models of two buildings they created for a project. The models are scaled versions of actual skyscrapers and are shaped like right triangles. They want to calculate the height of the smaller building model, DEF. What is x, the missing height in building model DEF?  (a)  

• 3.75

• 9.75

• 10

• 12

Tags

CCSS.HSG.SRT.A.2

Ava and Arjun are studying geometry. They noticed that two of their toy cars are the same shape but not the same size. They learned in class that such objects are (a)   .

• Congruent

• Vertical

• Similar

• Complementary

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Elijah has a triangular garden with sides measuring 11 cm, 16 cm, and 16 cm. Lily and Ethan are planning to make a similar triangular garden with sides measuring x cm, 24 cm, and 24 cm. What should be the measurement of x?

• x = 19 cm

• x = 24 cm

• x = 3 cm

• x = 16.5 cm

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Henry and Emma are comparing two different maps of the same city. They notice that all angles in the maps are congruent.   (a)  

• True

• False

Tags

CCSS.8.G.A.2

Find missing side

• 5
• 7
• 9
• 11

Tags

CCSS.HSG.SRT.A.2

Find the PERIMETER of the large triangle.

• 24

• 36

• 12

• 54

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 

• 72 in
• 60 in
• 62 in
• 80 in

Tags

CCSS.7.G.A.1

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?

Tags

CCSS.HSG.SRT.B.5

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 

• 7 in
• 9 in
• 12 in
• 14 in

Tags

CCSS.7.G.A.1