Geometry Topic 1 Transformations and Congruence Study Guide

Geometry Topic 1 Transformations and Congruence Study Guide Questions

Reporting Category Questions

MAFS. 912. G-CO. 1. 2

MAFS. 912. G-CO. 1. 3

MAFS. 912. G-CO. 1. 3 A E B I F H D G C Continue on next slide…

MAFS. 912. G-CO. 1. 3 A E B I F H D G C

MAFS. 912. G-CO. 1. 5

MAFS. 912. G-CO. 1. 3 What type(s) of symmetry does a regular octagon have?

MAFS. 912. G-CO. 1. 3 Consider the figure shown to the right. How many lines of symmetry does the figure have? Explain. A. Does the figure have rotational symmetry? If so, describe it. B. How could you alter the existing figure so that it has two more lines of symmetry than the given figure? Provide a sketch to explain your answer.

MAFS. 912. G-CO. 1. 4

MAFS. 912. G-CO. 1. 5

MAFS. 912. G-CO. 1. 2

MAFS. 912. G-CO. 1. 2 What term describes a transformation that does not change a figure’s size or shape? A. B. C. D. Similarity Rigid motion Collinearity Symmetry

MAFS. 912. G-CO. 1. 2

MAFS. 912. G-CO. 2. 6 Continue on next slide…

MAFS. 912. G-CO. 2. 6 Continue on next slide…

MAFS. 912. G-CO. 2. 6

MAFS. 912. G-CO. 1. 5 Use the figure to the right.

MAFS. 912. G-CO. 2. 6 & MAFS. 912. G-CO. 2. 7

MAFS. 912. G-CO. 1. 2 D

MAFS. 912. G-CO. 1. 5 & MAFS. 912. G-CO. 2. 7 Given the figure to the right: A. Reflect triangle ABC about the y-axis and label the new figure triangle AʹBʹCʹ. B. Give a sequence of 2 rigid transformations that would also carry triangle ABC onto triangle AʹBʹCʹ. Continue on next slide…

MAFS. 912. G-CO. 1. 5 & MAFS. 912. G-CO. 2. 7 C. Find the side lengths and angle measures of both triangles. Show your work, and explain your reasoning. D. What do you know about the two triangles? Explain your reasoning. Continue on next slide…

MAFS. 912. G-CO. 1. 5 & MAFS. 912. G-CO. 2. 7 E. Draw a new triangle PQR that is congruent to triangle ABC, and in a different location than either triangle ABC or triangle A’B’C’. Explain how you know triangle PQR is congruent to triangle ABC using at least 2 transformations.

MAFS. 912. G-CO. 1. 2

MAFS. 912. G-CO. 2. 7

MAFS. 912. G-CO. 1. 5 Each of the illustrations below shows in black a plane figure consisting of the letters F, R, E, and D evenly spaced and arranged in a row. In each illustration, an alteration of the black figure is shown in gray. In some of the illustrations, the gray figure is obtained from the black figure by a geometric transformation consisting of a single rotation. In others, this is not the case. Continue on next slide…

MAFS. 912. G-CO. 1. 5 A. Which illustrations show a single rotation? B. Some of the illustrations are not rotations or even a sequence of rigid transformations. Select one such illustration, and use it to explain why it is not a sequence of rigid transformations.