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Choose the correct answer for each question.

- 37
- 58
- 74
- 118

**In △ABC, m∠A =***x*, m∠B = 2*x*+ 2, and m∠C = 3*x*+ 4. What is the value of*x*?- 29
- 31
- 59
- 61

**Which expression best describes the transformation shown in the diagram below?**- same orientation; reflection
- opposite orientation; reflection
- same orientation; translation
- opposite orientation; translation

**Based on the construction below, which statement must be true?****In the diagram below, △ABC is inscribed in circle P. The distances from the center of circle P to each side of the triangle are shown.****Which statement about the sides of the triangle is true?**- AB > AC > BC
- AB < AC and AC > BC
- AC > AB > BC
- AC = AB and AB > BC

**Which transformation is***not*always an isometry?- rotation
- dilation
- reflection
- translation

- 20
- 9
- 8
- 6

**Which geometric principle is used to justify the construction below?**- A line perpendicular to one of two parallel lines is perpendicular to the other.
- Two lines are perpendicular if they intersect to form congruent adjacent angles.
- When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel.
- When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel.

**Which equation represents the circle whose center is (−2,3) and whose radius is 5?**- (
*x*− 2)^{2}+ (*y*+ 3)^{2}= 5 - (
*x*+ 2)^{2}+ (*y*− 3)^{2}= 5 - (
*x*+ 2)^{2}+ (*y*− 3)^{2}= 25 - (
*x*− 2)^{2}+ (*y*+ 3)^{2}= 25

- (
**Towns A and B are 16 miles apart. How many points are 10 miles from town A and 12 miles from town B ?**- 1
- 2
- 3
- 0

**Lines***j*and*k*intersect at point*P*. Line*m*is drawn so that it is perpendicular to lines*j*and*k*at point*P*. Which statement is correct?- Lines
*j*and*k*are in perpendicular planes. - Line
*m*is in the same plane as lines*j*and*k*. - Line
*m*is parallel to the plane containing lines*j*and*k*. - Line
*m*is perpendicular to the plane containing lines*j*and*k*.

- Lines
**In the diagram below of parallelogram***STUV*,*SV*=*x*+ 3,*VU*= 2*x*− 1, and*TU*= 4*x*− 3.- 5
- 2
- 7
- 4

**Which equation represents a line parallel to the line whose equation is 2***y*− 5*x*= 10?- 5
*y*− 2*x*= 25 - 5
*y*+ 2*x*= 10 - 4
*y*− 10*x*= 12 - 2
*y*+ 10*x*= 8

- 5
**What is the degree measure of ∠CEA?**- 87
- 61
- 43.5
- 26

**What is the distance between the points (−3,2) and (1,0)?****What is an equation of the line that contains the point (3,−1) and is perpendicular to the line**

whose equation is*y*= −3*x*+ 2?**Which technique can be used to prove △PST ∼ △RQT?**- SAS
- SSS
- ASA
- AA

**The equation of a circle is (***x*− 2)^{2}+ (*y*+ 4)^{2}= 4. Which diagram is the graph of the circle?**If***m∠BCD*= 6*x*+ 2,*m∠BAC*= 3*x*+ 15, and*m∠ABC*= 2*x*− 1, what is the value of*x*?**The pentagon in the diagram below is formed by five rays.****What is the degree measure of angle***x*?- 72
- 96
- 108
- 112

**Through a given point,***P*, on a plane, how many lines can be drawn that are perpendicular to that plane?- 1
- 2
- more than 2
- none

**What is the slope of a line that is perpendicular to the line whose equation is 3***x*+ 4*y*= 12?**What is the image of point***A*(4,2) after the composition of transformations defined by*R*_{90°}∘*r*?_{y = x}- (−4,2)
- (4,−2)
- (−4,−2)
- (2,−4)

**Which expression represents the volume, in cubic centimeters, of the cylinder represented in the diagram below?****What is the inverse of the statement “If two triangles are not similar, their corresponding angles are not congruent”?**- If two triangles are similar, their corresponding angles are not congruent.
- If corresponding angles of two triangles are not congruent, the triangles are not similar.
- If two triangles are similar, their corresponding angles are congruent.
- If corresponding angles of two triangles are congruent, the triangles are similar.