OUR Unit 1 End-Of-Unit Assessment

Are two parallelograms, with the same lengths, always congruent?

• Yes, because the side lengths are congruent.

• No, because even though the side lengths are the same, their angles may be different.

Which of the following transformations would NOT return a shape to its original position?

• Translate 5 units down, then 5 units up.

• Rotate 140 degrees clockwise around center P, then rotate 240 degrees counterclockwise around P again.

• Reflect over line m , then reflect over line m again.

• Translate 2 units to the left, then 6 units to the right, then 4 units to the left.

Which of the following is a way to prove that triangle ABC is congruent to triangle FED?

• Rotation of 180 degrees in the middle of vertices c and d.

• Triangle ABC can be translated down two units, right 3 units and then reflected over a vertical line that goes through point d.

• A single reflection over a vertical line halfway between the two triangles.

• Triangle ABC can be translated down two units and then reflected over a horizontal line that goes through point d.

For each pair of shapes, decide whether or not quadrilateral ABCD is congruent to quadrilateral EFGH. Explain your reasoning.

• Yes, rotate quadrilateral ABCD 180 degrees using point d as the center, then translate 1 unit right and 2 units down.

• Yes, rotate quadrilateral ABCD 90 degrees counterclockwise using point d as the center, then translate 1 unit right and 2 units down.

• No, there are no sets of transformations that would map/overlap quadrilateral ABCD onto quadrilateral EFGH because the shapes are not congruent.

Are the two shapes congruent?

• No, there are no sets of transformations that map/overlap the top triangle onto the bottom triangle because the shapes are not congruent.

• Yes, you can make the top triangle smaller, then reflect it over a diagonal line.

• Yes, you can reflect the top triangle over a diagonal line.

• Yes, rotate the top triangle 60 degrees clockwise, then translate it down.

Are the two figures congruent?

• Yes, you can rotate figure A 90 degrees clockwise to line up with figure B.

• No, these two figures are not congruent through transformations because the side lengths and angles are not equal.

• Yes, you can rotate figure A 180 degrees to line up with figure B.

Are these two figures congruent?

• No, the two ovals are not facing the same way.

• Yes, you can reflect the left oval 90 degrees clockwise to become the oval on the right.

• No, these two ovals are not congruent.

• Yes, you can rotate the left oval 90 degrees clockwise to become the oval on the right.

Is figure A congruent to figure B?

• Yes, figure A can be rotated 180 degrees from the origin to become figure B.

• Yes, figure A can reflected over the x-axis, then translated 4 units to the right to become figure B.

• No, figure B is too small to be a rotation of figure A.

• No, figure A cannot be transformed to become figure B.

Lines AB and CD are parallel. Find the measures of the three angles in triangle AFB.

• 43 degrees, 18 degrees, and 119 degrees

• 162 degrees, 18 degrees

• 43 degrees, 162 degrees

• 45 degrees, 90 degrees, 45 degrees

Triangle NOL is the image of triangle LMN after a 180 degree rotation around the midpoint of segment LN. Triangle QNM is the image of triangle LMN after a 180 degree rotation around the midpoint of segment MN. Explain why LMNO and LMQN are parallelograms.

• If you rotate a line 180 degrees around a point ON the line, then you will have parallel lines.

• If you rotate a line 180 degrees around a point NOT on the line, then you will have parallel lines.

• If you rotate a line 90 degrees around a point NOT on the line, then you will have parallel lines.

• If you rotate a line 90 degrees around a point ON the line, then you will have parallel lines.