(01.03 MC) The figure below shows a partially-completed set…
(01.03 MC) The figure below shows a partially-completed set of steps to construct a rhombus PQRS: The next step is to construct side PS of the figure so that side PS is parallel and congruent to side QR. The chart below shows the steps each of the four students took to draw side PS: Student 1 Fix the compass at M, and adjust its width to point L. Without changing the width of the compass, move the compass to N and draw a small arc on the big arc. Label the point of intersection of the two arcs as T. Draw a line segment from P that passes through T. Adjust the width of the compass to QR, and draw an arc from point P to intersect line PT at S. Student 2 Fix the compass at M, and draw an arc that intersects side QP at point T. Without changing the width of the compass, move the compass to R and draw an arc. Adjust the width of the compass to QR, and draw an arc from point P. Draw a line segment from R that passes through T and intersects the second arc at S. Student 3 Fix the compass at L, and adjust its width to point M. Without changing the width of the compass, move the compass to R and draw an arc that intersects QR at point T. Draw a line segment from R that passes through T and intersects the arc at S. Student 4 Fix the compass at L, and adjust its width to point P. Without changing the width of the compass, move the compass to R and draw an arc that intersects QR at point T. Draw a line segment from R that passes through T and intersects the arc at S. Which student used the correct steps to construct rhombus PQRS?
Read Details(01.02 MC) Alex wants to construct a line segment through R…
(01.02 MC) Alex wants to construct a line segment through R that makes the same angle with as . The figure below shows a step to construct a congruent angle at R: Which figure shows the next step to construct a congruent angle at R?
Read Details(02.01 HC) Triangle HAM is reflected over the y-axis using…
(02.01 HC) Triangle HAM is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle H′A′M′. If a line segment is drawn from point A to point A′, which statement would best describe the line segment drawn in relation to the y-axis?
Read Details(02.01, 02.02 MC) Parallelogram ABCD is translated (x + 3,…
(02.01, 02.02 MC) Parallelogram ABCD is translated (x + 3, y − 2) and then rotated 90° about the origin in the clockwise direction. Complete the table to show the locations of A″, B″, C″, and D″ after both transformations. A (− 5, 1) A″ ? B (−4, 3) B″ ? C (−1, 3) C″ ? D (−2, 1) D″ ?
Read Details(02.04 MC) ABC is a right triangle. Point D is the midpoint…
(02.04 MC) ABC is a right triangle. Point D is the midpoint of side AB, and point E is the midpoint of side AC. The measure of angle ADE is 47°. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 43°: Which statement and reason can be used to fill in the numbered blank spaces?
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