MATH U6 q2

Consider the following figure Given that SM ~ MI. IL ~ LE, ML = 6x - 3, and SE = 10x, determine the sum of the lengths of ML and SE

45

Suppose IJKL is a parallelogram. Diagnols IK and JL intersect at point O. If IOJ =130, finds IOL + JOK

100

Consider the parallelogram below Suppose SPU = 90, U P = 6x - 4, PR = 2x2 - 2x - 4, and SE = 5x + 10 , determine the perimeter of SU ER Type only the number.

100 units

What is the area of a rectangle whose length is 50 cm given that ratio of the width to its length is 2 ; 5

1000 cm

Suppose EFGH is a parallelogram. If the area of EFG is 10m^2, then find the area of EGH

10m^2

Nina is constructing a quadrilateral. The length of three sides of her figure are 2 meters, 5 meters, and 4 meters. Which of the following is not a possible length of the fourth side?

12 meters

The two diagonals of a rhombus figure are in the ratio 4 : 3 . If the total perimeter of the rhombus is 40 cm, find the length of the longer diagonal.

16 cm

The perimeter of a parallelogram is 164 cm. The diagonals intersect one another at 90°. One diagonal is bisected into segments of lengths 1500/x + 10 and x - 10cm. Determine the length of the shorter diagonal.

18 cm

Parallelogram ABCD is a rectangle whose diagonals are AC and BD. If AC = 10x - 7 and BD = 5x + 3, What is the value of x?

2

Consider the rhombus below Suppose the area of PSY is 40 square and SL = 8 units, what is the length of OY?

20 m

What is the perimeter of a rhombus whose side is of length 50 cm?

200 cm

The length and width of a rectangular figure are in the ratio 4: 3. . If the diagonal measures 80 cm, then what is the perimeter of the rectangle?

224 cm

Consider the parallelogram below Suppose the ratio between RAT, EWR, TRA, is 1; 2; 3; determine the perimeter of W ATE if AT = 8 meters

32 m

Parallelogram WXYZ is a rhombus. Its Diagonals WY and XZ meet at A. If m AWZ = 55, then what is the measure of AZW?

35

Suppose NGT is an equilateral triangle whose area is 48 sq. m. Let I and H be the midpoints of segments NG and GT,, respectively. Find the area of the quadrilateral formed by joining the points NHT.

36 sq. m.

Dan is trying to construct a bigger square by utilizing and putting together pieces of square-shaped pieces of paper with similar dimensions. Without tearing or cutting, what is the minimum number of pieces required to achieve his objective?

4

Suppose the dimensions of the unequal adjacent sides of a kite is x + 5 and 4x - 2 . If one side is 5 units longer than the other, determine the perimeter of the kite.

46 units

Nico is trying to divide a 6 by 4 inches of rectangular cartoon sheet into pieces of squares. Given that he used up all of the materials and that all squares are of similar dimensions, what is the minimum number of squares he can produce?

6

Consider the rhombus HOPD below Suppose the area of HOP is 50 square units. Determine the area of the concave polygon HOPDE

75 sq. units

Lesson 2 Suppose ABCD is parallelogram. If AB = 9x + 2, CD = 12x -4, BC = x + 7, determine the length of AD

9 units

Consider the following figure; Given that HUS = 90, HO ~ OU, HE ~ ES, HO = 6x - 10, OE = x2 and US = 10x then find the area of HUS ( in square units) . Type only the number

??

Which of the following properties both parallelograms and isosceles trapezoid have?

Both have a pair of parallel sides.

Lesson 3 Which of the following properties does a rectangle always have?

It has a total internal angle of 360°. It has congruent diagonals.

Which of the following properties does a rhombus always have?

It has a total internal angle of 360°. Its diagonals intersect at 90°.

It is a polygon with four sides and four angles.

Quadrilateral

Which of the following quadrilaterals are parallelograms?

RHOMBOID RECTANGLE RHOMBUS

Isabela is thinking of a parallelogram. It possesses interesting properties. Two of these are (1) its diagonals are congruent and (2) these diagonals are perpendicular to one another. What kind of parallelogram is this?

Square

It is a parallelogram that has four right angles and congruent sides.

square

Consider the parallelogram below If MAN = 8x + 1, MSN = 10x - 5, then find x and ANS.

x = 8; ANS = 115

Consider the parallelogram below If JST = 8z + 4, SJU = 9z - 3, and JSU = 60, then find z and JTS.

z = 7; JTS = 60