Quiz about Sol 7.6 Quadrilaterals

Question 1

Consecutives angles of a parallelogram are ____________.

Accepted Answer

Supplementary

Answer

Adjacent

Answer

Complementary

Answer

Congruent

Question 2

A quadrilateral with exactly one pair of parallel sides.

Accepted Answer

Trapezoid

Answer

Rectangle

Answer

Rhombus

Answer

Square

Question 3

The bases of trapezoid ABCD with midsegment FE measure as follows: DC = 20cm and AB = 36cm. What is FE?

Accepted Answer

28cm

Answer

16cm

Answer

46cm

Answer

56cm

Question 4

In parallelogram ABCD, AD = 2x - 10 and BC = x + 30, what is the measurement of BC?

Accepted Answer

70

Answer

50

Answer

60

Answer

80

Question 5

The figure is a rhombus LIVE. if the measure of angle I is (4x) degrees and the measure of angle E is (2x + 60) degrees, what is the measure of angle I?

Accepted Answer

120 degrees

Answer

100 degrees

Answer

110 degrees

Answer

130 degrees

Question 6

Quadrilateral BEST is a parallelogram. If the measure of angle B is (x + 40) degrees and measure of angle E is (2x + 20) degrees, what is the measure of angle B?

Accepted Answer

80 degrees

Answer

50 degrees

Answer

60 degrees

Answer

70 degrees

Question 7

In parallelogram ABCD with diagonals AC and BD intersect at E, AE = 2x and EC = 12, what is the value of x?

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 8

Quadrilateral CDEF is a parallelogram. If the measure of angle C is (y) degrees and measure of angle E is (2y - 40) degrees, then what is the measure of angle D?

Accepted Answer

140 degrees

Answer

80 degrees

Answer

110 degrees

Answer

170 degrees

Question 9

How many congruent triangles are formed when a diagonal of a parallelogram is drawn?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 10

Base angles of an isoscles trapezoid are ___________.

Accepted Answer

congruent

Answer

adjacent

Answer

complimentary

Answer

Supplementary

Question 11

All of the following are properties of a parallelogram EXCEPT:

Accepted Answer

Opposite sides are not parallel.

Answer

Diagonals bisect each other.

Answer

Opposite sides are congruent.

Answer

Opposite angles are congruent.

Question 12

If LOVE is a parallelogram and LE = 6, what is OV?

Accepted Answer

6

Answer

3

Answer

12

Answer

15

Question 13

Which of the following statements ensure that a quadrilateral is a parallelogram?

Accepted Answer

Diagonals bisect each other.

Answer

The diagonals are congruent.

Answer

Two consecutive sides are congruent.

Answer

Two consecutive angles are congruent.

Question 14

The diagonals of a rectangle have equal lengths 5x - 11 and 2x + 25. Find the lengths of the diagonals.

Accepted Answer

49

Answer

12

Answer

24

Answer

60

Question 15

In rhombus SAME, AT = 7cm and TM = 5cm. Find its area.

Accepted Answer

70 square centimeters

Answer

50 square centimeters

Answer

60 square centimeters

Answer

80 square centimeters

Question 16

In an isosceles trapezoid, the altitude drawn from an endpoint of the shorter base to the longer base divides the longer base in segments of 5cm and 10cm long. Find the lengths of the bases of the trapezoid.

Accepted Answer

5 cm and 15 cm

Answer

10 cm and 20 cm

Answer

15 cm and 25 cm

Answer

20 cm and 30 cm

Question 17

Find the length of a diagonal of a kite whose area is 176 sq. cm. and the other diagonal is 16 cm long.

Accepted Answer

22 cm

Answer

24 cm

Answer

26 cm

Answer

28 cm

Question 18

One side of a kite is 5 cm less than 7 times the length of the other. If the perimeter is 86 cm, find the length of each side of the kite.

Accepted Answer

6cm, 6cm, 37cm and 37cm

Answer

4cm, 4cm, 39cm and 39cm

Answer

5cm, 5cm, 38cm and 38cm

Answer

7cm, 7cm, 36cm and 36cm

Question 19

The ratio of the areas of two similar rectangular prisms is 49:81. What is the ratio of their volumes?

Accepted Answer

343:729

Answer

9:7

Answer

7:9

Answer

441:567

Question 20

The length of the sides of a triangle are 4cm, 5cm and 6cm. What kind of a triangle is it?

Accepted Answer

Acute Triangle

Answer

Regular Triangle

Answer

RIght Triangle

Answer

Obtuse Triangle

Question 21

What theorem will you use to find the diagonal of a 10cm by 8cm rectangle?

Accepted Answer

Pythagorean Theorem

Answer

Right Triangle Proportionality Theorem

Answer

Triangle Proportionality Theorem

Answer

Triangle Angle Bisector Theorem

Question 22

Which of the following pairs of solids will not always be similar?

Accepted Answer

Pair of Square Prisms

Answer

Pair of Spheres

Answer

Pair of Cubes

Answer

Pair of Pyramids

Question 23

How many parts of a triangle is needed to be proven similar to another triangle

Accepted Answer

3

Answer

0

Answer

1

Answer

2

Question 24

The ratio of the sides of the original triangle to its reduced version is 2:1. The reduced triangle is expected to have___________.

Accepted Answer

sides that are half as long as the original.

Answer

sides that are twice as long as the original

Answer

perimeter that is as long as the original

Answer

angles that are half as large as the original

Question 25

A map is drawn to the scale of 1cm:50cm. If the distance between Towns A and B is 105 km., how far are they on the map?

Accepted Answer

7000 cm

Answer

70 cm

Answer

700 cm

Answer

707 cm

Question 26

The length of the shadow of your 1.6 meter height is 2.8 meters at a certain time in the afternoon. How high is an electrical post in your backyard if the length of its shadow is 20 meters?

Accepted Answer

11.43 m

Answer

7.14 m

Answer

12.50 m

Answer

22.50 m

Question 27

A square tile measures 16cm by 16cm has been cut into 4, what will be the area of each square?

Accepted Answer

64 square centimeters

Answer

36 square centimeters

Answer

54 square centimeters

Answer

56 square centimeters

Question 28

if the area of a square table is 400 square centimeters, what is the measurement of each side?

Accepted Answer

20 cm

Answer

12 cm

Answer

14 cm

Answer

16 cm

Question 29

A tree is standing next to 40-foot high building. The three has an 18-foot shadow, while the building has a 16-foot shadow. How tall is the tree, rounded to the nearest foot?

Accepted Answer

45 feet

Answer

7 feet

Answer

36 feet

Answer

42 feet

Question 30

The area of two isosceles triangles are in the ratio 16:25. What is the ratio of their corresponding heights?

Accepted Answer

4:5

Answer

5:4

Answer

3:2

Answer

5:7

Question 31

Which of the following is NOT a way to prove a quadrilateral is a parallelogram?

Accepted Answer

Show one pair of opposite angles of the quadrilateral are congruent.

Answer

Show the diagonals of the quadrilateral bisect each other.

Answer

Show one pair of opposite sides of the quadtilateral are both parallel and congruent.

Answer

Show both pairs of opposite sides of the quadtilateral are congruent.

Question 32

Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true?

Accepted Answer

Quadrilateral ABCD is a rectangle.

Answer

Quadrilateral ABCD is a square.

Answer

Quadrilateral ABCD is a rhombus.

Answer

Quadrilateral ABCD is an isosceles trapezoid

Question 33

Given TRAP is an isosceles trapezoid with diagonal RP and TA. Which of the following must be true?

Accepted Answer

RP is congruent to TA

Answer

RP is perpendicular to TA

Answer

RP is parallel to TA

Answer

RP bisects TA

Question 34

Which figure can serve as a counter example to the conjecture "If one pair of opposite sides of a quadrilateral is parallel then the quadrilateral is a parallelogram.

Accepted Answer

Trapezoid

Answer

Rectangle

Answer

Rhombus

Answer

Square

Question 35

What is the most precise name for quadrilateral ABCD with vertices A(-5, 3), B (-3, 6), C (6, 6) and D (4, 2)?

Accepted Answer

Rhombus

Answer

Rectangle

Answer

Parallelogram

Answer

Quadrilateral

Question 36

How much wood is needed to make a picture frame that is 8 inches by 10 inches?

Accepted Answer

80 square inches

Answer

18 square inches

Answer

36 square inches

Answer

40 square inches

Question 37

Determine which statement is always TRUE.

Accepted Answer

A kite has perpendicular diagonals.

Answer

A kite has congruent diagonals.

Answer

A kite has one pair of parallel sides.

Answer

A kite has diagonals that bisect each other.

Question 38

What formulas are needed to create a coordinate proof of a parallelogram?

Accepted Answer

distance and slope formula to prove all sides are parallel and congruent

Answer

slope formula to prove that opposite sides are parallel

Answer

distance formula to opposite sides are congruent

Answer

slope formula to prove that any two consecutive sides form a right angle

Question 39

The area formula of a trapezoid is bases on the area of what shape?

Accepted Answer

Triangle, they both have 1/2 in the formula.

Answer

Parallelogram, since it copies a trapezoid.

Answer

Quadrilateral, since they both have four sides.

Answer

Kite, since neither shape is a parallelogram.

Sol 7.6 Quadrilaterals

50 questions

Consecutives angles of a parallelogram are ____________.

A quadrilateral with exactly one pair of parallel sides.

The bases of trapezoid ABCD with midsegment FE measure as follows: DC = 20cm and AB = 36cm. What is FE?

In parallelogram ABCD, AD = 2x - 10 and BC = x + 30, what is the measurement of BC?

The figure is a rhombus LIVE. if the measure of angle I is (4x) degrees and the measure of angle E is (2x + 60) degrees, what is the measure of angle I?

Quadrilateral BEST is a parallelogram. If the measure of angle B is (x + 40) degrees and measure of angle E is (2x + 20) degrees, what is the measure of angle B?

In parallelogram ABCD with diagonals AC and BD intersect at E, AE = 2x and EC = 12, what is the value of x?

Quadrilateral CDEF is a parallelogram. If the measure of angle C is (y) degrees and measure of angle E is (2y - 40) degrees, then what is the measure of angle D?

How many congruent triangles are formed when a diagonal of a parallelogram is drawn?

Base angles of an isoscles trapezoid are ___________.

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