Kendall Hunt Unit 1 End-Of-Unit Assessment

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.8.G.A.5

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 OQ and LM are parallel.

• 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.

Tags

CCSS.HSG.CO.B.6

What is the value of x on the diagram?

• 53 degrees because it is alternate interior with the given angle and alternate interior angles are congruent.

• 127 degrees because it is supplementary with the given angle and supplementary angles add up to 180 degrees.

• 53 degrees because it is vertical with the given angle and vertical angles are congruent.

• 127 degrees because it is vertical with the given angle and vertical angles are congruent.

Tags

CCSS.7.G.B.5

What is the value of x on the diagram?

• 118 degrees because it is vertical with the given angle and vertical angles are congruent.

• 62 degrees because it is supplementary with the given angle and supplementary angles add up to 180 degrees.

• 62 degrees because it is alternate interior with the given angle and alternate interior angles are congruent.

• 118 because it is supplementary with the given angle and supplementary angles add up to 180 degrees.

Tags

CCSS.8.G.A.5