Warm-up 10/20/2023: Dilation and Scale Factor Review

Albetina, Asende, and Yahya are working on a project where they have to enlarge a triangular garden by a scale factor of 3 with the origin as the center of enlargement. The garden has vertices A(3,3), B(6,6), and C(9,3). Can you help them find the coordinates of the enlarged garden after the enlargement?
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)

Tags

CCSS.8.G.A.3

Yahya, Derartu, and Saba are working on a map project for their geography class. They have a point N(-1, 2) representing a city and point N'(-2, 4) representing its scaled version on the map. Giselle wonders what scale factor was used to get from point N to point N'. Can you help them figure it out?

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.8.G.A.3

Asende, Kazadi, Derartu, Yahya, and Welongo are working on a project about similar triangles. They found two triangles, ΔDEF and ΔABC, in a blueprint of a building. Can you help them find the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

Tags

CCSS.7.G.A.1

Asende, Welongo, and Yahya are participating in a charity marathon. Asende is 4 times faster than Welongo. What is the scale factor between Asende's and Welongo's speeds?

• 4

• .25

• 5

• 6

Tags

CCSS.7.G.A.1

Giselle, Welongo, and Asende are on a treasure hunt. They found a map with two points P(-3, 5) and P'(-6, 10) marked on it, representing the locations of two trees. If they have to scale the map to reach the treasure, what would be the scale factor from the first tree (point P) to the second tree (point P')?

• 2

• 3

• 1/2

• 1/3

Tags

CCSS.7.G.A.1

Saba, Yosef, and Yahya are working on a project to create a device that can dilate objects. They decide to test it on point Q(4, -2). If they use a scale factor of 4 with the origin as the center of dilation, what would be the new coordinates of point Q?

• (16, -8)

• (8, -4)

• (12, -6)

• (6, -3)

Tags

CCSS.8.G.A.3

Welongo, Derartu, and Saba are working on a project about shrinking maps. They have a map M and its shrunken version M'. If the scale factor from map M to map M' is 1/2, can you help them find the coordinates of a landmark A(6, 3) in the shrunken map M'?

• (3, 1.5)

• (12, 6)

• (1.5, 0.75)

• (9, 4.5)

Tags

CCSS.7.G.A.1

Saba, Yahya, and Albetina are on a treasure hunt. They found a map with two similar triangles ABC and A'B'C'. If triangle ABC represents the size of a small island, what is the scale factor to triangle A'B'C' representing the size of a larger island?

• 1/2

• 2

• 3

• 1/3

Tags

CCSS.7.G.A.1

Albetina, Arof, and Derartu are planning a road trip. They have a car at point R(2, -4) on their map. Suddenly, their car gets caught in a traffic diversion with a scale factor of 3, with the city center as the center of diversion. Can you help them find the new coordinates of their car?

• (6, -12)

• (9, -18)

• (3, -6)

• (12, -24)

Tags

CCSS.7.G.A.1

Imagine Kazadi, Welongo, and Giselle are architects working on a project. They have a blueprint with two points P(-4, 6) and P'(-8, 12) marked on it. If they have to scale the blueprint to build the structure, what would be the scale factor from point P to P'?

• 2

• 3

• 1/2

• 1/3

Tags

CCSS.7.G.A.1