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HSPA Math Macro 2b: Applying principles of congruence, similarity, transformations, and coordinate geometry in problem-solving situations

Sample Multiple-choice Items 


A graphic artist designing a company's logo wants to reflect triangle LMN across the dotted line to form triangle PQR. What will the vertex of point P be?

(-20, 6)

(40, 12)

(45, 6)

(70, 6)

What must happen to triangle ABC to create the triangle DEF?

Triangle ABC is reflected over the X axis and translated 8 spaces to the left and 4 spaces up.

Triangle ABC is reflected over the Y axis and translated 4 spaces up.

Triangle ABC is reflected over the Y axis and translated 8 spaces to the left.

Triangle ABC is reflected over the X axis and translated 8 spaces to the left.

A stone mason is repaving a school's courtyard with the following 3-color tiles. Given that he is only using these tiles, what color will the white stone in the large area be?

This is one tri-colored tile.

The white space may be any of the three colors.

The white space should be blue.

The white space should be red.

The white space should be yellow.

Which addition problem is represented by the following vector diagram? (Assume that the origin is the starting point.)

6 + (-12) + 4

6 + (-6) + (-2)

6 + (-12) + (-2)

6 + (-6) + 4

Polygon ABCD is congruent to polygon WXYZ, where angle A corresponds to angle W. The value of angle A is 4x - 30 and the value of angle W is 2x + 10. Find angle A.

7.5 degrees

20 degrees

50 degrees

65 degrees

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