Unit 2 End of Unit Assessment

1

Select all true statements.

Dilations always increase the length of line segments.

If a shape is dilated, the angles remain the same.

Dilations increase the measure of angles in a shape.

Dilations of a triangle are similar to the original triangle.

Dilations by a scale factor of 1 results in a congruent triangle.

1

Which pair of triangles must be similar?

Triangles 1 and 2 each have a 35 degree angle

Triangles 3 and 4 are both isosceles. They each have a 40 degree angle.

Triangle 5 has a 30 degree angle and a 90 degree angle. Triangle 6 has a 30 degree angle and a 70 degree angle.

Triangle 7 has a 50 degree angle and a 25 degree angle. Triangle 8 has a 50 degree angle and a 105 degree angle.

1

Select all lines that have a slope of:

1

Here are some polygons.
Which of Polygons B, C, D, E, and F are similar or congruent to Polygon A?

1

Choose one of the polygons that are similar but not congruent to Polygon A.
Describe a sequence of transformations that take Polygon A to the select polygon. Be specific!

1

Triangles ABC and DEF are similar. Find the length of segment DF.

1

Triangles ABC and DEF are similar. Find the length of segment EF.

1

All of the points in the picture are on the same line.
What is the slope of the line? Reduce as much as possible.

1

All of the points in the picture are on the same line.
What is the value of a?

1

All of the points in the picture are on the same line.
What is the value of b?

1

A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
Is the point (1, 60) on this graph? Explain how you know.

1

Dilate A using P as the center of dilation and a scale factor of 3. Label the new point A′.
Dilate B using P as the center of dilation and a scale factor of 2. Label the new point B′.

1

Draw the image of rectangle ABCD under dilation using center P and scale factor one-half. Label and connect the new points!

1

Are rectangles ABCD and EFGH similar? Explain how you know.

1

What is the slope of this line?
Reduce as much as possible. Write your answer as a fraction.

1

What must
equal?
Reduce as much as possible. Write your answer as a fraction.

1

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the length of h?

1

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the length of c?

1

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the sum of e+d?

1

Here is line segment DE and its image D′E′ under a dilation.
Approximately what was the center of dilation? Label it F.
Approximately what was the scale factor?

1

Lines with the same slope are...

parallel

perpendicular

intersecting

1

Which line has a slope of 2?

Line l

Line k

1

Which line has a slope of 1?

Line l

Line k

Unit 2 End of Unit Assessment

Select all true statements.

Which pair of triangles must be similar?

Select all lines that have a slope of:

Here are some polygons.Which of Polygons B, C, D, E, and F are similar or congruent to Polygon A?

Choose one of the polygons that are similar but not congruent to Polygon A. Describe a sequence of transformations that take Polygon A to the select polygon. Be specific!

Triangles ABC and DEF are similar. Find the length of segment DF.

Triangles ABC and DEF are similar. Find the length of segment EF.

All of the points in the picture are on the same line.What is the slope of the line? Reduce as much as possible.

All of the points in the picture are on the same line.What is the value of a?

All of the points in the picture are on the same line.What is the value of b?

A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.Is the point (1, 60) on this graph? Explain how you know.

Dilate A using P as the center of dilation and a scale factor of 3. Label the new point A′.Dilate B using P as the center of dilation and a scale factor of 2. Label the new point B′.

Draw the image of rectangle ABCD under dilation using center P and scale factor one-half. Label and connect the new points!

Are rectangles ABCD and EFGH similar? Explain how you know.

What is the slope of this line?Reduce as much as possible. Write your answer as a fraction.

What must equal?Reduce as much as possible. Write your answer as a fraction.

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.What is the length of h?

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.What is the length of c?

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.What is the sum of e+d?

Here is line segment DE and its image D′E′ under a dilation.Approximately what was the center of dilation? Label it F.Approximately what was the scale factor?

Lines with the same slope are...

Which line has a slope of 2?

Which line has a slope of 1?

Select all true statements.

Which pair of triangles must be similar?

Select all lines that have a slope of:

Here are some polygons.Which of Polygons B, C, D, E, and F are similar or congruent to Polygon A?

Choose one of the polygons that are similar but not congruent to Polygon A. Describe a sequence of transformations that take Polygon A to the select polygon. Be specific!

Triangles ABC and DEF are similar. Find the length of segment DF.

Triangles ABC and DEF are similar. Find the length of segment EF.

All of the points in the picture are on the same line.What is the slope of the line? Reduce as much as possible.

All of the points in the picture are on the same line.What is the value of a?

All of the points in the picture are on the same line.What is the value of b?

A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.Is the point (1, 60) on this graph? Explain how you know.

Dilate A using P as the center of dilation and a scale factor of 3. Label the new point A′.Dilate B using P as the center of dilation and a scale factor of 2. Label the new point B′.

Draw the image of rectangle ABCD under dilation using center P and scale factor one-half. Label and connect the new points!

Are rectangles ABCD and EFGH similar? Explain how you know.

What is the slope of this line?Reduce as much as possible. Write your answer as a fraction.

What must equal?Reduce as much as possible. Write your answer as a fraction.

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.What is the length of h?

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.What is the length of c?

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.What is the sum of e+d?

Here is line segment DE and its image D′E′ under a dilation.Approximately what was the center of dilation? Label it F.Approximately what was the scale factor?

Lines with the same slope are...

Which line has a slope of 2?

Which line has a slope of 1?

Here are some polygons.
Which of Polygons B, C, D, E, and F are similar or congruent to Polygon A?

Choose one of the polygons that are similar but not congruent to Polygon A.
Describe a sequence of transformations that take Polygon A to the select polygon. Be specific!

All of the points in the picture are on the same line.
What is the slope of the line? Reduce as much as possible.

All of the points in the picture are on the same line.
What is the value of a?

All of the points in the picture are on the same line.
What is the value of b?

A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
Is the point (1, 60) on this graph? Explain how you know.

Dilate A using P as the center of dilation and a scale factor of 3. Label the new point A′.
Dilate B using P as the center of dilation and a scale factor of 2. Label the new point B′.

What is the slope of this line?
Reduce as much as possible. Write your answer as a fraction.

What must
equal?
Reduce as much as possible. Write your answer as a fraction.

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the length of h?

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the length of c?

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the sum of e+d?

Here is line segment DE and its image D′E′ under a dilation.
Approximately what was the center of dilation? Label it F.
Approximately what was the scale factor?

Here are some polygons.
Which of Polygons B, C, D, E, and F are similar or congruent to Polygon A?

Choose one of the polygons that are similar but not congruent to Polygon A.
Describe a sequence of transformations that take Polygon A to the select polygon. Be specific!

All of the points in the picture are on the same line.
What is the slope of the line? Reduce as much as possible.

All of the points in the picture are on the same line.
What is the value of a?

All of the points in the picture are on the same line.
What is the value of b?

A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
Is the point (1, 60) on this graph? Explain how you know.

Dilate A using P as the center of dilation and a scale factor of 3. Label the new point A′.
Dilate B using P as the center of dilation and a scale factor of 2. Label the new point B′.

What is the slope of this line?
Reduce as much as possible. Write your answer as a fraction.

What must
equal?
Reduce as much as possible. Write your answer as a fraction.

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the length of h?

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the length of c?

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the sum of e+d?

Here is line segment DE and its image D′E′ under a dilation.
Approximately what was the center of dilation? Label it F.
Approximately what was the scale factor?