NeSA

Geometry Practice Questions

Name______

MA 12.2.1.d Apply geometric properties to solve problems.

a∠and ∠B are complementary angles.

m = 27.

Which expression would be used to find m?

  1. mB = 180 – 27 = 153
  2. mB = 90 + 27 = 117
  3. mB = 90 – 27 = 63
  4. mB = (90 – 27) / 2 = 31.5

28b∠and ∠B are supplementary angles.

m =35.

Which expression would be used to find m?

  1. mB = 180 – 35 = 145
  2. mB = 90 + 35 = 125
  3. mB = 90 – 35 = 55
  4. mB = (180 – 35) / 2 = 72.5


29a. Find the value of x and y

29b. Find the value of x and y

30a. Find mECF and mDCE.

30b. Find m<ECF and m<DCE

MA 12.2.1.e Identify and apply right triangle relationships.

31a. Find tan J.

31b. Find cos J.

31c. Find sin K.

32a. Find the length of the hypotenuse.

32b. Find the length of the missing leg.

12.2.2.a Use Coordinate Geometry to Analyze Geometric Situations.

33a. Line M passes through the points A(-5, 1) and B(-1, 4). A line parallel to line M passes through the point M(-3, -2). Which of the following points lies on the parallel line?

  1. (-2, 2)
  2. (0, -1)
  3. (1, -3)
  4. (1, 1)

33b. Line L passes through the points A(-2, 2) and B(1, 4). A line perpendicular to line L passes through the point M(0, -3). Which of the following points lies on the perpendicular line?

  1. (-2, 0)
  2. (-1, 0)
  3. (3, -2)
  4. (1, 0)

33c. Line L passes through the points A(3, 1) and B(4, 3). A line parallel to line L passes through the point M(1, 0). Which of the following points lies on the parallel line?

  1. (3, 1)
  2. (3, -1)
  3. (3, -2)
  4. (2, 2)

34a. The coordinates A(5, 2), B(-1, 2), and

C(-1, -1) are three vertices of a rectangle. Find the coordinate of the remaining vertex D.

a. (-1, 5)

b. (5, -1)

c. (5, 1)

d. (1, 2)

34b. The coordinates A(-2, 1), B(1, 1), and

C(1, -2) are three vertices of a square. Find the coordinate of the remaining vertex D.

a. (-2, -2)

b. (1, -3)

c. (3, -1)

d. (1, -2)

12.2.2.c Applying the Distance Formula.

35a. Find the distance between points D(5, -3) and E(7, 2).

35b. Find the distance between points P(-2, 1) and Q(3, 5).

35c. Find the distance between points J(6, -2) and K(4, -3).

12.2.2.d Prove special types of triangles and quadrilaterals.

36a. The vertices of a triangle ABC are A(1, -2), B(-3, 1) and C(4, 2). What type of triangle is ABC?

a. right isosceles triangle

b. right scalene triangle

c. acute isosceles triangle

d. obtuse scalene triangle

36b. The vertices of a triangle PQR are P(1, 2), Q(4, -1) and R(-1, -1). What type of triangle is PQR?

a. acute isosceles triangle

b. right scalene triangle

c. acute scalene triangle

d. obtuse scalene triangle

37a. The vertices of a quadrilateral QRST are

Q(-1, 0), R(2, -2), S(-1, -4), and T(-4, -2). What type of quadrilateral is QRST?

a. rhombus

b. rectangle

c. square

d. trapezoid

37b. The vertices of a quadrilateral ABCD are A(-1, 2), R(1, 2), S(4, -1), and T(-2, -1). What type of quadrilateral is ABCD?

a. rhombus

b. rectangle

c. square

d. trapezoid

37c. The vertices of a quadrilateral PQRS are P(1, 1), Q(2, -1), R(0, -2), and S(-1, 0). What type of quadrilateral is PQRS?

a. rhombus

b. rectangle

c. square

d. trapezoid

12.2.4.b Use geometric models to visualize, describe, and solve problems.

38a. When the shadow of a 6-foot tall man is 8feet, the shadow of a flagpole is 42 feet. How tall is the flagpole?

38b. A 25 foot tree casts a 12 foot shadow, and the shadow of a lightpole is 9 feet. How tall is the lightpole?

38c. A building that is 80 feet tall casts a shadow of 64 feet. What is length of the shadow of the building next door that is 30 feet tall?

39a. The legs of a right triangle are 9 and 12 inches. Find the hypotenuse of a similar triangle if its short leg is 12 inches.

39b. The hypotenuse and the short leg of a right triangle are 26 cm and 10 cm. Find the longer leg of asimilar triangle if the short leg is 15 cm.

39c. The hypotenuse and the long leg of a right triangle are 16 ft and ft. Find the short leg of a similar triangle if its hypotenuse is 12 ft.

12.2.5.d Convert equivalent rates.

40a. The area of a rectangle is 12 square yards. What is the area of the rectangle in square feet?

40b. The area of a triangle is 10 square feet. What is the area of the triangle in square inches?

40c. The area of a square is 36 square feet. What is the area of the square in square yards?