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Regents Multiple Choices Questions Take Home [40]
Ms. Anderle
Regents Multiple Choice:
Circle the correct answer in this part. This will count as a quiz grade and WILL BE
GRADED!!! If this packet is not in class the day that it is due, you will receive a
grade of a 0. NO LATE PAPERS WILL BE ACCEPTED!!!
1. One piece of the birdhouse that Natalie is building is shaped like a regular
pentagon. What is the measure of one exterior angle of the birdhouse?
a. 36°
b. 72°
c. 108°
d. 144°
2. What are the coordinates of point (2,-3) after it is reflected over the x-axis?
a. (2,3)
b. (-2,3)
c. (-2,-3)
d. (-3,2)
3. A circular sunflower with a diameter of 4 centimeters is placed on a coordinate
grid such that its center is at (-2,1). Which equation represents the sunflower?
a. (x – 2)2 + (y + 1)2 = 2
b. (x + 2)2 + (y – 1)2 = 4
c. (x – 2)2 + (y – 1)2 = 4
d. (x + 2)2 + (y – 1)2 = 2
4. Which statement is logically equivalent to “If a triangle is an isosceles triangle,
then it has two congruent sides”?
a. If a triangle does not have two congruent sides, then it is an isosceles
triangle.
b. If a triangle does not have two congruent sides, then it is not an isosceles
triangle.
c. If a triangle is not an isosceles triangle, then it has two congruent sides.
d. If a triangle is an isosceles triangle, then it does not have two congruent
sides.
5. AB and CD intersect at point E, m<AEC = 6x + 20, and m<DEB = 10x. What is the
value of x?
a. 4
b. 10
c. 5
d. 21
6. Which letter has point symmetry but not line symmetry?
a. H
b. S
c. T
d. X
7. If in ΔRST, m<R = 71 and m<S = 37, then
a. ST > RS
b. RS > RT
c. RS = RT
d. RT > ST
8. The perimeter of a rhombus is 60 cm, and the length of its longer diagonal
measures 24 cm. The length of the shorter diagonal is
a. 9 cm
b. 15 cm
c. 18 cm
d. 20 cm
9. If the altitude to the hypotenuse of a right triangle is 8, the lengths of the
segments of the hypotenuse formed by the altitudes may be
a. 8 and 12
b. 3 and 24
c. 2 and 32
d. 6 and 8
10. The center of the circle that can be circumscribed about a scalene triangle is
located by constructing the
a. medians of the triangle
b. altitudes of the triangle
c. perpendicular bisectors of the sides of the triangle
d. bisectors of the angles of the triangle
11. Which statement best describes the lines whose equations are 4y + x = 12 and
3y = 12x + 1?
a. They are segments.
b. They are perpendicular to each other.
c. They intersect each other.
d. They are parallel to each other.
12. If the intersection of the perpendicular bisectors of the sides of a triangle lies
on one of the sides of the triangle, the triangle must be
a. acute
b. obtuse
c. scalene
d. right
13. Which is the equation of a lines that passes through the point (3,-2) and is
perpendicular to the line y = x + 4?
a. y = x + 4
b. y = -x + 4
c. y = -x + 1
d. y = 2x + 1
14. If the lengths of two sides of a triangle are 4 and 10, what could be the length
of the third side?
a. 6
b. 8
c. 14
d. 16
15. Which statement explains the difference between a rhombus and a square?
a. A rhombus has 4 congruent sides.
b. A square has right angles.
c. A rhombus has perpendicular diagonals.
d. A square has congruent diagonals that are perpendicular.
16. What is the measure of an exterior angle of a regular octagon?
a. 1080°
b. 360°
c. 180°
d. 45°
17. Find the length of the line segment that joins the points (4,6) and (1,2).
a. 10
b. 5
c. -5
d. 15
18. In isosceles triangle ABC, B is the vertex. The vertex angle measure 3 times
the sum of the measures of the other two angles. What is the measure of angle B?
a. 36
b. 72
c. 107
d. 135
19. In two similar triangles, the ratio of the lengths of a pair of corresponding
sides is 7:8. If the perimeter of the larger triangle is 32, find the perimeter of
the smaller triangle.
a. 8
b. 16
c. 21
d. 28
20. Which of the following statements is NOT true about the centroid of a
triangle?
a. The centroid of a triangle is the point where the medians of the triangle
are concurrent.
b. The centroid of a triangle may be located inside the triangle, on a side of
the triangle, or outside of the triangle.
c. The centroid of a triangle divides the medians of the triangle into a ratio
of 2:1.
d. The centroid of a triangle is the center of gravity of a triangular shape of
uniform thickness and density