Concept explainers
a. Draw a line l and any two points A and B so that
b. Draw a line l and any two points A and B so that
c. How are l and
d. What is the image of
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A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
- Refer to Figure 50-22 and identify each of the following as parallel, perpendicular, or oblique lines. a. Line AB and line CD b. Line AB and EF c. Line CD and GHarrow_forwardGiven: A line m and a point T not on m Suppose that you do the following: i Construct a perpendicular line r from T to line m. ii Construct a line s perpendicular to line r at point T. What is the relationship between lines s and m?arrow_forwardComplete the drawing so that the figure is reflected across a line l b line marrow_forward
- * 6. Plot the following points on a coordinate plane: (-1, 1), (-1,-6), (4, Inv. (5, 1) and (5, -6). Then draw segments connecting the points to make a rectangle. What is the perimeter of the rectangle? Evaluate Use the followiarrow_forwardNeed help. Thank you!arrow_forwardSelect all of the reflections that will carry the rectangle onto itself. A. Reflect the figure across the lines through opposite vertices. B. Reflect the figure across the lines through the midpoints of opposite sides C. Reflect the figure across a side. D. Reflect the figure across a line through a midpoint and a vertex. E Reflect the figure across a perpendicular bisector of a side. OO 0 O0arrow_forward
- a. Draw the image when triangle A is reflected in the line y = -1. Label the image B. 12. b. Draw the image when triangle A is rotated through 90° anticlockwise about the origin. Label the image C. Draw the image when triangle B is translated by (,). Label the image D. C. y 2- 1 -5 -3 -2 -1 1 2 3 5 -1 --2 -3· -4 -5arrow_forwardSM9.arrow_forwardMATH NATION Plane P contains four distinct lines 4,1 , and L. Suppose , 14.21, and L II 4. How are 4 and 4 related? Choose the corect answer below. 4 is perpendicular to l because 4 is parallel to lg and l, is parallel to 4. 4 is parallel to l4 because is perpendicular to lg and l3 is parallel to l4. 4 is perpendicular to l4 because 4 is perpendicular to la and l, is parallel to L4. 4 is parallel to l4 because 4 is parallel to l3 and la is parallel to 4.arrow_forward
- These four lines have been graphed on the same coordinate grid. Which lines are parallel to each other? A. J and L B. J and M C. K and L D. K and Marrow_forwardd. VU+(-2))2 - (1+0)2 +V(1+ 0)2 - (2+ (-3))2+(2+(-3))2-(0+(-2))2 Line segment JK Is shown on the graph below. 10 4 10 26 10 10 -2 -6 K -8 10 What is the midpoint of segment JK? a. (1,-5) b. (6, -5) c. (-5,-5) d. (-1,-5)arrow_forwardDo you know that? Given the points on a line, the line can be divided into parts which we call subsets of a line. Ray Segment Ray Overview R figure 1 Line segment A line segment is part of a line that has two endpoints. Line segment RO or OR, line segment RB or BR, line segment RI or IR, line segment OB or BO, line segment Ol or 10 and line segment BI or IB are line segments in the given figure above. In notation, we write RO or OR, RB or BR, RIor IR, OB or B0, OTor lo and BTor TB. Ray figure 2 A ray is also a part of a line but has only one endpoint, and extends endlessly in one direction. We name a ray by its endpoint and one of its points. (See igure 2) From the figure we define it as ray RF and we can also name it as ray LF. In nota- tion, we write RF anc LER. It is not correct to name it as ray FR or ray LR because we always sta. un na.ng it at the endpoint. Activity (PERFORMANCE TASK 1) Illustrate the statement below and answer the following questions. Line b consists of the…arrow_forward
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