Geometry Concepts Quiz

The video tutorial covers various geometry problems involving circles, triangles, and trapezoids. It explains the concepts of tangents, secants, and inscribed angles in circles, and demonstrates how to solve related problems. The tutorial also addresses the translation and rotation of triangles on a coordinate plane, as well as the translation of trapezoids using a specific motion rule. The video concludes with a reflection on the geometry test, emphasizing the importance of understanding the concepts discussed.

What is the measure of angle ABC if arc AC is 70 degrees and arc CD is 110 degrees?

• 75 degrees

• 55 degrees

• 45 degrees

• 65 degrees

If an inscribed angle in a circle intercepts an arc of 70 degrees, what is the measure of the angle?

• 55 degrees

• 45 degrees

• 35 degrees

• 65 degrees

What is the measure of arc PQ if angle RPQ is 50 degrees and arc PR is 140 degrees?

• 110 degrees

• 100 degrees

• 90 degrees

• 80 degrees

After translating triangle ABC one unit down and three units to the left, what are the new coordinates of point A?

• (0, -1)

• (-1, 0)

• (-2, 1)

• (1, -2)

What are the new coordinates of point B after translating triangle ABC one unit down and three units to the left?

• (2, 1)

• (1, 2)

• (0, 3)

• (-1, 4)

If triangle ABC is rotated 180 degrees about the origin, what are the new coordinates of point A?

• (-4, -5)

• (5, 4)

• (-5, -4)

• (4, 5)

After rotating triangle ABC 180 degrees about the origin, what are the new coordinates of point B?

• (-3, -4)

• (-4, -3)

• (-3, -2)

• (-2, -3)

Using the motion rule, what are the new coordinates of vertex C prime if C is at (5, 1)?

• (8, -3)

• (7, -2)

• (6, -1)

• (9, -4)

What is the result of adding 3 to the x-coordinate and subtracting 4 from the y-coordinate of point C (5, 1)?

• (8, -3)

• (9, -4)

• (7, -2)

• (6, -1)

What is the new y-coordinate of point C after applying the motion rule of subtracting 4?

• -3

• -2

• -1

• 0