final 95%

If the legs of an isosceles right triangle have a length of 15r2 ft, the hypotenuse will have a length of _______ft.

30

Triangle FGH is an equilateral triangle with sides measuring units. What is the height of the triangle? GR= ______ units

51.__

Figure ABCD is a parallelogram. What is the value of p?

6

Two different cross sections are taken parallel to the base of a three-dimensional figure. The two cross sections are the same shape, but are not congruent. Which could be the three-dimensional figure? Check all that apply.

A).Cone, E).Triangular Pyramid, & F)Square Pyramid

Figure ABCD is a parallelogram. What are the measures of angles B and D?

A. ?B = 55°; ?D = 55°

Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Check all that apply

A. rectangular prism; B. triangular prism; E. square pyramid; F. triangular

The diagonal of a square is x units. What is the area of the square in terms of x?

A:(1/2)x²

What is the value of x?

A:3

The length of segment EF is 12 cm. Which statements regarding triangle DEF are correct? Check all that apply.

A:EF is the longest side of ?DEF. B:DF = 6 cm E:DE = cm

Figure ABCD is a parallelogram. Which sequence could be used to prove that AD = BC?

A:First prove ABC is congruent to CDA, and then state AD and BC are corresponding sides of the triangles.

For a craft project, two equilateral triangles are taped together to create a quadrilateral. What is the quadrilateral?

A:Rhombus

Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle. Which statement describes how the location of segment EG affects the area of EFGH?

A:The area of EFGH is 1/4 of the area of the rectangle if E and G are not midpoints.

Figure TUVS is a parallelogram. Which angles equal 91°?

A:angles T and V

Figure CDEF is a parallelogram. Which measures are correct? Check all that apply.

A:n=10; C:CF=59; D: FE=42

Figure ABCD is a kite. What is the length of line segment BC?

B (14 units)

The triangle shown is rotated about line m. What is the approximate base area of the resulting three-dimensional figure? Area of a circle: A = pr2

B.113 sq. cm

The hypotenuse of a 45°-45°-90° triangle measures 18 cm. What is the length of one leg of the triangle?

B: 9v2 cm

The area of rhombus ABCD is 72 square units. EC = 8 units and DB = x - 1. What is the value of x?

B:10

Trapezoid ABCD is graphed in a coordinate plane. What is the area of the trapezoid?

B:24 square units

In the kite, AC = 10 and BD = 6. What is the area of kite ABCD?

B:30 square units.

Consider triangle QRS. The legs each have a length of 10 units. What is the length of the hypotenuse of the triangle?

B:5 square root of 2

A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus. What is the value of x?

B:55

A company designs a logo using a kite figure around the letter t. The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo?

B:96 sq. cm

Which three-dimensional figure has the greatest number of faces?

B:octagonal pyramid

Figure ABCD is a parallelogram. What is the perimeter of ABCD?

C. 44 units.

Jules owns a square plot of land that measures 30 yards on each side. He plans to divide the land in half by building a fence, as shown by the dotted line below. How many yards of fencing will Jules need?

C: 30r2yd

In the parallelogram shown, AE = p - 8, CE = 2p - 58, and DE = p + 15. What is the length of line segment EB?

C: 65

Which three-dimensional figure has exactly three rectangular faces?

C: triangular prism

The area of a rhombus is 65 square units. The length of one diagonal is 13 units. What is the length of the other diagonal?

C:10

Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom left corner measures 80°. The measure of the angle at the top left corner must measure °.

C:100

What is the length of a side of rhombus JKLM?

C:12 units

Figure PQRS is a parallelogram. What are the measures of angles P and S?

C:140 and 40

The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX. What is the length of the lower base, ZX?

C:18 units

Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees. What is the value of x?

C:20

A paper hat is folded into the shape of a kite, as shown. What total length of ribbon is needed to line the two long sides of the hat?

C:20 in

A kite is inscribed in a square with a side length of 9 units. What is the area of the kite?

C:40.5 square units

Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown. What is the value of y?

C:7

Which could be the base shape of the cylinder?

C:circle

Which pair of figures has the same number of faces as vertices?

C:rectangular pyramid and triangular pyramid

Which three-dimensional figure has nine edges?

C:triangular prism

Figure ABCD is a parallelogram. What are the lengths of line segments AB and BC?

D).AB = 10; BC = 28.

Kite WXYZ is graphed on a coordinate plane. What is the area of the kite?

D. 16

Each leg of a 45°-45°-90° triangle measures 12 cm. What is the length of the hypotenuse?

D:12v2

Figure LMNO is a parallelogram. What is the value of x?

D:20

Four parallel lines are drawn in a rectangular sign. The sign is painted using two colors in an alternating pattern, as shown. Which statements must be true about the two congruent, shaded figures? Check all that apply.

D:The figures are parallelograms because their opposite sides are parallel. A:The figures are rectangles because they are formed inside a rectangle. E:The figures are quadrilaterals because each has four sides.

Which three-dimensional figure has half the number of vertices as the rectangular prism?

D:Triangular pyramid

The perimeter of the rectangle shown is 76 cm. It is rotated about line b. Which best describes the resulting three-dimensional figure?

D:a cylinder with a base radius of 14 cm

Which shape has a vertex that is also an apex?

D:pyramid

A greeting card uses a geometric design containing 4 congruent kites. The card is 4 inches wide and 8 inches long. What is the area of one kite?

a. 4 sq. in.

Figure ABCD is a parallelogram. What are the measures of angles B and C?

b: ?B = 65°; ?C = 115°