If you translate a line with points (4, 3) and (-2, 3) to the left one unit and up two units, what are the new locations for these points?
(5, 5) and (-1, 5)
(3, 5) and (-3, 5)
(5, 1) and (-1, 1)
(3, 1) and (-3, 1)
Choose one answer.
11 answers
(3, 5) and (-3, 5)
A line segment has endpoints (-3, 2) and (1, 6). What are the new endpoints after rotating the segment 90 degrees counterclockwise?
A) (-2, 3) and (-6, -1)
B) (-2, -3) and (6, 1)
C) (2, -3) and (-6, 1)
D) (2, 3) and (6, -1)
Choose one answer
A) (-2, 3) and (-6, -1)
B) (-2, -3) and (6, 1)
C) (2, -3) and (-6, 1)
D) (2, 3) and (6, -1)
Choose one answer
B) (-2, -3) and (6, 1)
A rectangle has a side that is 12 units long. How long will this side be after the figure is translated up 3 units and to the left 6 units?
After the translation, the length of the side will remain 12 units because translations do not change the length of the sides of a figure, they only change their position in the plane.
A rectangle with a vertex at (5,3) is translated 4 units up. What are the coordinates of this vertex after it is translated? Draw a graph if necessary.
A) (5, 7)
B) (1, 3)
C) (9, 3)
D) (5, -1)
A) (5, 7)
B) (1, 3)
C) (9, 3)
D) (5, -1)
A) (5, 7)
The vertex at (5, 3) is translated 4 units up so the y-coordinate will change from 3 to 7. The x-coordinate remains the same so the new coordinates of the vertex will be (5, 7).
The vertex at (5, 3) is translated 4 units up so the y-coordinate will change from 3 to 7. The x-coordinate remains the same so the new coordinates of the vertex will be (5, 7).
Your friend tells you that reflecting a figure will make the figure's sides longer, so it is no longer congruent to the original figure. Is this true? Why or why not? In 3-5 sentences, explain your answer and describe an example that would verify your claim.
This statement is not true. Reflecting a figure across a line or a point does not change the lengths of its sides. Congruent figures have the same size and shape, so reflecting a figure will maintain its original side lengths and angles. For example, if you reflect an isosceles triangle over a line of reflection, the resulting image will have the same side lengths and angles as the original triangle, showing that reflection does not alter the length of the sides.
Can u make it 3 sentences?
Reflecting a figure does not change the lengths of its sides; the figure remains congruent to the original. For example, reflecting a triangle across a line of reflection will maintain its side lengths and angles. Therefore, reflecting a figure will not make its sides longer or alter its congruency.