8.G.2 Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections,

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8.G.2 Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them

Write a rule to describe the transformation.

△ ≅ △ ′′′. Describe a sequence of rigid motions that would prove a congruence between △ and △ ′′′.

Reflect triangle ABC across the vertical line, parallel to the -axis, going through point (1, 0). Label the transformed A’, B’, C’ Reflect triangle A’,B’,C’′ across the horizontal line, parallel to the -axis going through point (0, −1). Label the transformed points of A’’, B’’, C’’ respectively. Is there a single rigid motion that would map triangle ABC to triangle ′′′′′′?

C” A”B” The final image could also be obtained by a rotation of 180º around the point (1,-1)

Draw this array on your paper and label it..Draw, then color, the triangle with vertices A,B,D.. Draw, then fill in with a different color, all triangles that can be found by translating triangle ABD. Draw, then fill in with a third color, the triangles that can be obtained from those in parts a and b by reflection across the longest side of each of the triangles.

Draw this array on your paper and label it. How many triangles have the same size and shape as triangle CIG? Describe transformations (translation, reflection, rotation) that begin with CIG and end with each of these triangles.

There are 3 triangles ( they are IGA, GAC, and ACI) are congruent – some students will try to create a congruent triangle from DBF; However, it is NOT Congruent – use a ruler or the Pythagorean theorem to prove this. Obtained by a reflection over the square’s diagonal. Obtained by a 180º rotation

Indicate whether each of the pair of triangles are congruent. If they are congruent describe a sequence of transformations that move the first into the second. If they are not congruent, explain clearly. a. Triangle ABG and triangle ACF. b. Triangle ABG and triangle CBG. c. Triangle ABG and triangle BCI. Draw this array on your paper and label it