Geometry: Transformations and Law of Cosines

Mathematics

An overview of solving oblique triangles using the Law of Cosines and understanding geometric transformations including translation, reflection, and rotation.

Geometry Trigonometry Transformations

10 Questions Medium Ages 14+ Aug 26, 2026

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About this Study Set

This study set covers Mathematics through 10 practice questions. An overview of solving oblique triangles using the Law of Cosines and understanding geometric transformations including translation, reflection, and rotation. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 10 questions from the Geometry: Transformations and Law of Cosines study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 What is the standard form of the Law of Cosines to find side a?

A a^2 = b^2 + c^2 - 2bc cos A
B a^2 = b^2 + c^2 + 2bc cos A
C a^2 = b^2 - c^2 - 2bc cos A
D a^2 = c^2 - b^2 - 2bc cos A

2 In geometry, what is the movement of a figure in the Cartesian plane called?

A Reflection
B Rotation
C Transformation
D Translation

3 Which transformation slides a figure without turning or flipping it?

A Rotation
B Reflection
C Translation
D Dilation

4 What is the general coordinate rule for a translation of a point P(x, y)?

A P'(x-a, y-b)
B P'(x+a, y+b)
C P'(ax, by)
D P'(x/a, y/b)

5 What is the formal definition of reflection in geometry?

A Turning a figure
B Flipping a figure over a line
C Sliding a figure
D Resizing a figure

6 What is the term for the initial image before a transformation occurs?

A Final image
B Reflection
C Pre-image
D Coordinate

7 What is the coordinate rule for rotating a point 90 degrees counterclockwise about the origin?

A (x, y) -> (y, -x)
B (x, y) -> (-y, x)
C (x, y) -> (-x, -y)
D (x, y) -> (x, -y)

8 What is the coordinate rule for rotating a point 180 degrees about the origin?

A (x, y) -> (-x, -y)
B (x, y) -> (-y, x)
C (x, y) -> (y, x)
D (x, y) -> (x, -y)

9 What is the coordinate rule for rotating a point 270 degrees counterclockwise about the origin?

A (x, y) -> (-y, x)
B (x, y) -> (y, -x)
C (x, y) -> (-x, y)
D (x, y) -> (x, y)

10 What is the fixed point around which a figure is turned during rotation called?

A Origin
B Center of rotation
C Vertex
D Midpoint

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