(03.01 MC) Quadrilateral ABCD is dilated by a scale factor of centered around (1, 2). Which statement is true about the dilation?

(01.03 MC) The figure below shows a partially-completed set of steps to construct parallelogram PQRS: The next step is to construct side RS of the parallelogram so that side RS is congruent to side PQ. The chart below shows the steps each of the four students took to draw side RS of the parallelogram: Student 1 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. Draw a line segment from R that passes through T and intersects the arc at S. Student 2 Fix the compass at Q, and draw an arc that intersects side QP. Without changing the width of the compass, move the compass to R and draw an arc. Draw a line segment from R that passes through T and intersects the second arc at S. Student 3 Fix the compass at Q, and adjust its width to point P. Without changing the width of the compass, move the compass to R and draw an arc. 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. Draw a line segment from R that passes through T and intersects the arc at S. Which student used the correct steps to construct parallelogram PQRS?

(02.01, 02.02 MC) Which sequence of transformations will map figure H onto figure H′?

(02.03 MC) Triangle HIJ has been reflected to create triangle H′I′J′. Segment HJ = H′J′ = 4, segment IJ = I′J′ = 7, and angles J and J′ are both 32 degrees. Which postulate below would prove the two triangles are congruent?

(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?

(03.02 MC) Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.

(02.04 LC) In ΔCAB, if the measure of is 8 units and the measure of segment is 5 units, which of the following could be the measure of segment ?

(02.06 MC) The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel: A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram: Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SSS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel. Which statement best describes a flaw in the student’s proof?

(01.06 LC) Angles BAE and FAC are straight angles. What angle relationship best describes angles BAC and EAC?

(02.04 MC) Triangle 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 68°. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 22°: Which statement and reason can be used to fill in the numbered blank spaces?