Geometric Transformations and Translations

This video tutorial by Kak Kamil covers the topic of geometric transformations, focusing on translation. It begins with an introduction to the concept, followed by detailed explanations and examples of how translation works in geometry. The tutorial includes step-by-step calculations and problem-solving exercises to help students understand how to apply translation to different geometric figures. The video concludes with advanced problems to challenge students' understanding of the topic.

Which of the following is NOT a type of geometric transformation?

• Rotation

• Scaling

• Reflection

• Translation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a point (2, 3) is translated 3 units to the right, what are the new coordinates?

• (2, 0)

• (5, 3)

• (5, 6)

• (2, 6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What happens to the x-coordinate of a point when it is translated 3 units to the left?

• It remains the same

• It decreases by 3

• It increases by 3

• It becomes negative

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the translation formula T(a, b), what does 'a' represent?

• Rotation angle

• Scaling factor

• Shift in the y-direction

• Shift in the x-direction

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Given a point (2, 3) translated by T(0, 3), what are the new coordinates?

• (2, 6)

• (5, 3)

• (2, 0)

• (5, 6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a point (4, 8) is the result of translating point B by T(15, 9), what are the coordinates of point B?

• (4, -1)

• (11, -1)

• (-11, 17)

• (19, 17)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the translation vector T if point A(-2, 0) is translated to point A'(5, 3)?

• T(7, 3)

• T(3, 7)

• T(7, -3)

• T(-7, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a triangle with vertices A(3, 4), B(-1, 0), and C(0, 2) is translated by T(5, -2), what are the new coordinates of vertex B?

• (5, 2)

• (5, -2)

• (4, -2)

• (4, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the result of translating point D(-10, 21) by T(-4, 2)?

• (-14, 23)

• (-6, 23)

• (-6, 19)

• (-14, 19)

Tags

CCSS.HSG.CO.A.2

If point A(-2, 5) is translated by T(2s, 3t-1) to point A'(3s, 5t-s), what are the values of s and t?

• s = -2, t = 1

• s = -1, t = 2

• s = 2, t = -1

• s = 1, t = 2

Tags

CCSS.HSG.CO.A.2