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Geometry

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Charley Lowe

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Cards in this guide (28)
If one diagonal of a quadrilateral bisects the other when is the quadrilateral a parallelogram

In this case, the quadrilateral is sometimes a parallelogram.

Angle pairs are located at vertices of a quadrilateral

consecutive\adjacent

Which of these quadrilaterals has only one pair of parallel sides

trapezoid

Ray BD bisects angle ABC. The measure of angle ABD is represented by 4x-4 and the measure of angle ABC is represented by 7x plus 4. Find the measures of angle DBC.

Angle ABD = 4x - 4

Angle ABC = twice angle ABD = 7x + 4

So 7x + 4 = 2*(4x - 4) = 8x - 8

So x = 12

Then angle DBC = half of angle ABC = 1/2*(7*12 + 4) = 1/2*88 = 44 degrees.

Which of these shapes has four right angles and two pairs of congruent sides

rectangle

All three sides and all three angles are equal in an equilateral triangle Could this figure also be a parallelogram

No.

A parallelogram is a quadrilateral, meaning it is a shape that has four sides. A parallelogram is also shaped such that opposite sides (the top and bottom, right and left) are of equal length and are thus parallel to each other.

Quadrilateral ABCD is a parallelogram Which two angles below are supplementary

a and d

Abcd is a quadrilateral in which angle a equals 40 degrees and angle b equals 150 degrees could abcd be a parallelogram

never

Quadrilateral abcd is a parallelogram in which angle a equals 40 degrees quadrilateral abcd could also be called a

none of these answers are correct

If AD is 10 units AB is 8 units AC is 12 is units ED is 4.5 units and if AED is 100 degrees what is the measure of DEC

80 degrees.

In this parallelogram the measure of angle b is twice the measure of angle a What is the measure of angle a

The adjacent angles of a parallelogram are supplementary. This means that angle A + angle B = 180 deg.Since angle B = 2*angle A, then angle A + 2*angle A = 180 deg ie 3*angle A = 180 deg

so that angle A = 60 deg.

If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram

always

A parallelogram has ----- pairs of sides that are parallel

A parallelogram has 2 pairs of parallel sides.

In this parallelogram the measure of b is twice the measure of a What is the measure of d

The measure of D is 120.

Which of these shapes is always equiangular a rectangle a rhombus a trapezoid a parallelogram

a rectangle

How do you work out an abcd parallelogram

If ABCD is a parallelogram, what is the value of x?

35

In this parallelogram the measure of b is twice the measure of a what is the measure of B is twice the measure of A What is the measure of A

The measure of A is 60.

The measure of each interior angle of a convex quadrilateral is more than 180 degrees

Yes

How do you find the measure of an inscribed angle

You find the arc measure and then you divide it in half to find the inscribed angle

A quadrilateral with both pairs of opposite sides congruent

A quadrilateral with both pairs of opposite sides congruent is a parallelogram.

What is the measure of arc BC

100 degrees :)

In this parallelogram the measure of angle B exceeds the measure of angle A by 30 degrees What is the measure of angle D

In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A & C) and 105 degrees (B & D).

Ad equals 10 units ab equals 8 units ac equals 12 units ed equals 4.5 units if angle equals 50 degrees what is the measure of angle bcd

For you A+ Cheaters ;D

it's 50!

In a parallelogram the measure of angle b the measure of angle a by 30 degrees what is the measure of angle d

105 degrees

What is a line segment conecting two vertices of a polygon called

Adjacent vertices: side

Non-adjacent: diagonal

What is the perimeter of parallelogram abcd with ad equals 10 units ab equals 8 units ac equals 12 units ed equals 4.5 units

If abcd is a parallelogram, then the lengths ab and ad are sufficient. The perimeter is 36 units.

What is the biggest number that can go into 108

6X18

What is the measure of angle BPC in the circle

The answer will depend on the location of the points B, P and C.

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