REVIEW: SPRING SEMESTER Name:______Period:____

  1. Triangle JUT is a dilation of JKL. Solve for x.
  1. Determine whether the polygons are similar. If so, write the similarity ratio.
  1. Maya is making a miniature dinner table for her little sister. She wants the table top to be similar to their real dinner table top. Find the width of the miniature table top to the nearest tenth of a centimeter.
  1. The ratio of the side lengths of a quadrilateral is 6:2:3:7, and its perimeter is 126 meters. What is the length of the shortest side?
  1. If two triangles are similar, then their corresponding angles must be ______.
  2. A tree is standing next to a 40-foot high building. The tree has an 18-foot shadow, while the building has a 16-foot shadow. How tall is the tree, rounded to the nearest foot?
  3. A model airplane is built to a scale of 1 in.:12 ft. If the model plane is 11 inches long, find the length of the actual plane, rounded to the nearest foot.
  1. Solve for x.
  1. A building casts a shadow 25ft 6in long. Samantha is 5ft 6in tall and casts a shadow 4ft 3in long at the same time. How tall is the building?
  1. 25 and 312 are the legs of a right triangle find the missing side and tell whether the lengths make up a Pythagorean triple.
  1. 684 and 685 are lengths of two sides of a right triangle. Find the third side that creates a Pythagorean triple.
  1. The hypotenuse of a right triangle is 34in. One of the angles is 30. Find the length of the side across from the angle.
  1. Find the value of x.
  1. Find the value of x.
  1. In a 30-60-90 triangle the length of one of the sides is 12 . Which of the following is possible for another length?
  1. Find the value of both g and f.
  1. There is a building with a 12 ft. high window. You want to use a ladder to go up to the window, and you decide to keep the ladder 5 ft away from the building to have a good slant. How long should the ladder be?
  1. A building is 808 feet tall and forms an angle of depression of 68. How far is the tree from the building?
  1. Find the angle the 12 foot ladder makes with the ground if it is placed 8 feet away from the house
  1. Conroe is 38 miles north of Houston. Katy is 35 miles west of Houston. How far is Katy from Conroe? Round to the nearest whole mile.
  1. Find the angle of elevation.
  1. Use polygon ABCDE to find the measure of the interior angle A.
  1. Given m<GJI = 53°, GJ = 17 ft, KI = 12.5 ft. Find m<JIH
  1. If a quadrilateral is a parallelogram, then its consecutive angles are ______.
  2. If a quadrilateral is a parallelogram, then its opposite angles are ______.
  3. If a quadrilateral is a parallelogram, then its diagonals ______each other.
  4. The measures of the exterior angles of a pentagon are 127, 90, 37, 8x+14, and 10x+2. Find x.
  1. In parallelogram LMNO, NO=10.2 and LO=14. What is the approximate perimeter of parallelogram LMNO?
  1. Find the interior angle sum for a convex 16-gon.
  1. Find the measure of one interior angle in a regular 27-gon.
  1. In parallelogram LMNOMN = 7x and LO = 3x +14. Find the value of LO
  1. In parallelogram LMNOm<N = (5w – 6)°, m<O = (2w – 3)°. Find the m<N
  1. Name the polygon and find the sum of the interior angles.
  1. Determine if the figure is a polygon and if so name it by the number of sides.
  1. Solve for x if LMJK is a parallelogram
  1. Find the measure of one exterior angle in a regular 47-gon.
  1. RSTU is a rectangle. If RS = 20 and UT = x + 10, find x
  1. RSTU is a rectangle. If m1 = 62, find m2.
  1. ABCD is a rectangle. If mBAC = (3x + 5) and mACD = (40 – 2x), find x.
  1. ABCD is a square. Find BC.
  1. ABCD is a rhombus. Find x.
  1. If ABCD is a rhombus, and m2 = 52, find m4.
  1. The measures of the bases of a trapezoid are 14 and 20. What is the measure of the midsegment of the trapezoid?
  1. The diagram shows a trapezoid and its midsegment. Find the value of x
  1. In the figure PQRS, which angles are equal if PQPS and QRRS?
  1. In kite PQRS, mQPO = 50 and mQRO = 70. Find mPSR.
  1. All rectangles have:
  1. four congruent sides
  2. diagonals that are to each other
  3. consecutive sides congruent
  4. diagonals that bisect each other
  1. Diagonals are always perpendicular in a :
  1. rectangle
  2. parallelogram
  3. quadrilateral
  4. Rhombus
  1. Which statement is true?
  1. All rectangles are squares.
  2. All quadrilaterals are parallelograms.
  3. All parallelograms are quadrilaterals.
  4. All quadrilaterals are squares.
  1. Which type of quadrilateral has no parallel sides?
  1. rhombus
  2. trapezoid
  3. kite Rectangle
  1. The diagonals of a kite are
  1. perpendicular and equal
  2. perpendicular
  3. perpendicular bisectors of each other

equal

  1. Which of the following is a regular quadrilateral?
  1. square
  2. kite
  3. rhombus

isosceles trapezoid

  1. Find the area of a trapezoid, in which
  1. Find the area of a parallelogram with base length 35 and height 10
  1. Find the area of a right triangle whose legs have lengths 20 and 25
  1. Find the area of a pentagon whose perimeter is 20 and whose apothem is 5
  1. What is the area of a kite whose diagonals have lengths 12 and 24?
  2. Find the apothem of an octagon whose area is 120 square units and whose sides are 5 units.
  1. The radius of a circle is 12. Find the circumference.
  1. The area of a circle is 32. The radius is ___.
  1. Find the area of a square with diagonal length 8.
  1. Find the area of a circle with radius 18 feet
  1. Find the area of a rectangle with perimeter of 66 in. and length 20 in.
  1. The radius of A is multiplied by . Describe the effect of the change on the area.
  1. Find the area of the composite figure (all right s).
  1. Find the LATERAL AREA of the square pyramid:
  1. Find the SURFACE AREA of the cylinder
  1. Find the LATERAL AREA of the rectangular prism
  1. Find the VOLUME of the cylinder
  1. Find the VOLUME of a cube with a base edge of 4 cm.
  1. A rectangular prism has a volume of 30 cubic feet. What would happen to the surface area if the dimensions were tripled?
  1. Find the surface area of the composite Figure. Round to the nearest square cm.
  1. An orange juice container is a rectangular prism that measures 8” by 3.5” by 2”. A grape juice container is a rectangular prism that measures 9” by 3” by 2”. Which best describes the relationship between the two containers?
  1. Find the area of sector DEF
  1. Find the length of .
  1. If m, find m.
  1. Find m.
  2. Find mA.
  1. Find mBPD.
  1. A wheel from a motor has springs arranged as in the figure. Find mDOC.
  1. What is the equation of a circle with a radius of 3 and center at the origin?
  1. What is the equation of a circle with a radius of 5 and center at (2,3)?
  1. Find the measure of arc CFB
  1. Mary chooses an integer at random from 1 to 6. What is the probability that the integer she chooses is a odd number?
  1. A jeweler has 15 diamond pendants and will display 4 of them from left to right in a glass case. In how many ways can he select and arrange the 4 pendants?
  1. A bag contains eight green marbles, five white marbles, and two red marbles. What is the probability of drawing a red marble from the bag?
  1. Identify the probability of getting heads and then getting tails when a coin is flipped twice.
  1. A point is chosen randomly on EH. Find the probability that the point is on FH.