All of the following are properties of a parallelogram EXCEPT:

Opposite sides are not parallel.

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

Two consecutive sides are congruent.

Two consecutive angles are congruent.

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

Right Triangle Proportionality Theorem

Triangle Proportionality Theorem

Triangle Angle Bisector Theorem

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

sides that are half as long as the original.

sides that are twice as long as the original

perimeter that is as long as the original

angles that are half as large as the original

In parallelogram FGHI, diagonals IG and FH are drawn to intersect at point M. Which of the following statements must be true?

ΔGMH must be congruent to ΔIMF

ΔFGU must be an obtuse triangle.

ΔHGI must be an acute triangle.

ΔFMG must be congruent to ΔHMG

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

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

Show the diagonals of the quadrilateral bisect each other.

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

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

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

Quadrilateral ABCD is a rectangle.

Quadrilateral ABCD is a square.

Quadrilateral ABCD is a rhombus.

Quadrilateral ABCD is an isosceles trapezoid

Determine which statement is always TRUE.

A kite has perpendicular diagonals.

A kite has congruent diagonals.

A kite has one pair of parallel sides.

A kite has diagonals that bisect each other.

What is the sum of the interior angles of a quadtilateral?

Varies on the type of a quadrilateral

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

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

slope formula to prove that opposite sides are parallel

distance formula to opposite sides are congruent

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

The area of a triangle is based on the area formula of what shape?

Parallelogram, since there two triangles in every parallelogram. The triangle formula is half the parallelogram formula.

Trapezoid, since there two triangles in every trapezoid. The triangle formula is half the trapezoid formula.

Quadrilaterals, since there are 180° in a triangle and 360° in a quadrilateral.

Kite, since there are four right triangles.

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

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

Parallelogram, since it copies a trapezoid.

Quadrilateral, since they both have four sides.

Kite, since neither shape is a parallelogram.

Sol 7.6 Quadrilaterals

Authored by Barbara White

Mathematics

7th - 10th Grade

CCSS covered

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50 questions

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MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Consecutives angles of a parallelogram are ____________.

Adjacent

Complementary

Congruent

Supplementary

Tags

CCSS.HSG.CO.C.11

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A quadrilateral with exactly one pair of parallel sides.

Rectangle

Rhombus

Square

Trapezoid

Tags

CCSS.2.G.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

16cm

28cm

46cm

56cm

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

Tags

CCSS.HSG.CO.C.11

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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?

100 degrees

110 degrees

120 degrees

130 degrees

Tags

CCSS.HSG.CO.C.11

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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?

50 degrees

60 degrees

70 degrees

80 degrees

Tags

CCSS.HSG.CO.C.11

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

Tags

CCSS.HSG.CO.C.11

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Sol 7.6 Quadrilaterals

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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