Naming the Moves
Grid Moves
Moves in Parallel
Congruence
Alternate Interior Angles
100
Describe the transformation from 2 to 3 
What is a vertical reflection?
100
Which triangles are translations of Triangle A?
What Are Triangles B and D?
100
What is the angle measure of ABC?
What is 130 degrees?
100
What are the two attributes of shapes that we look for to prove congruence?
What are lengths and angle measures?
100
Identify a pair of Alternate Interior Angles.
What are angles C, F or E, D?
200
What type of rotation is done from figure A to figure B?
What is a clockwise rotation from figure A to B?
200
Describe the translation on the x-and y-coordinate that will take the blue triangle to the green.
What is 6 units to the right and 2 units up? (x + 6, y+2).
200
- What is the measure of angle B? Explain how you know.
What is 52 degrees? Rotations preserve angle measures, and angles B and B′ correspond to each other under this rotation.
200
Are figures A and B congruent? You must explain why.
These figures are not congruent because if they were, the longest horizontal distances between two points would be the same. However, for A it is less than 4 units, and for B it is about 4 units.
200
The diagram shows two parallel lines cut by a transversal. One angle measure is shown. Find the values of a, b,c,d,e,f, and g.
What are angles a: 126, b:54,c:126,d:54,e:126,f:54,g:126 ?
300
Estimate the Angle of Rotation
What is 120 degrees?
300
The point (-4,1) is rotated 180 degrees counterclockwise using center (0,0). What are the coordinates of the image?
What is the coordinate (4,-1) ?
300
What is the length of B'C'? How do you know?
What is 4 units. Rotations preserve side lengths, and side B′C′ corresponds to side BC under this rotation
300
Are these faces congruent?
No, the faces are not congruent although the parts of the faces (outline, eyes, mouth) are congruent taken one by one. The two oval outlines of the faces sit in 8 unit by 10 unit rectangles and they are congruent as can be seen by translating the left face outline 10 units to the right (or reflecting over the center vertical line on the grid).
300
What is the measure of angle DEH?
What is 72 degrees?
400
Identify all corresponding line segments.
Line segments AC corresponds to DF, AB corresponds to DE, and BC corresponds to EF.
400
When point (1, 3) is translated 2 units right and 1 unit up, what is the points new location?
What is the location of (3, 4)
400
- What is the measure of angle C? Explain how you know.
What is 50 degrees? Rotations preserve angle measures, and angles C and C′ correspond to each other under this rotation
400
Here are two congruent shapes with some corresponding points labeled. Label B' and D'.
400
Parallel lines ℓ and m are cut by two transversals which intersect ℓ in the same point. Two angles are marked in the figure. Find the measure x of the third angle.
What is 65 degrees?
500
What happens to the coordinates, (x, y) if an image is rotated 90 degrees clockwise from the origin?
How does the coordinate (x, y) become (y,-x).
500
The point (-5, 4) is reflected over the x-axis, what is its new location?
What is the location of (-5,-4)?
500
- What is the measure of angle A′OB′?
- What is 79 degrees? the same measure as ∠AOB, because the 180 degree rotation with center at O takes ∠AOB to ∠A′OB′. The rotation preserves angle measures.
500
Are the polygons congruent?
- These are not congruent. Sample response: Both are regular octagons, but ABCDEFGH is larger than IJKLMNOP. This can be seen by comparing the images or by looking at sides AB and IJ. Side AB is 2 units in length, while side IJ is less than 2 units in length.
500
Describe how you would locate a pair of Alternate Interior Angles when two parallel lines are cut by a transversal. You must use math language (ex. talk about the transversal).
Where are angles inside a pair parallel lines on alternate sides of the transversal.