Draw a rectangle and bisect its angles. The bi- sectors intersect to form what special kind ofquadrilateral?

Q: Find the radius of a sector with a central angle of 30◦if its perimeter is the same value as its…

A: Here, to find the radius of a sector with a central angle of 30°. Note that the perimeter of a…

Q: Must three parallel lines be coplanar? Draw a diagram to illustrate your answer.

A: To write: Three parallel lines be coplanar or not and to draw the diagram.

Q: If a right triangle is formed by the placement of three squares, what is the area of the shaded…

A:

Q: Draw the image of quadrilateral ABCD under a translation by 1 unit to the right and 4 units up

A: Given,

Q: If the radius of a circle is doubled and the central angle of a sector is unchanged, how is the area…

A: To find change in area if the radius of a circle is doubled and the central angle of a sector is…

Q: A trapezoid with sides 8, 8, 8, and 10 has area___?

A: It is given that the sides of the trapezoid are 8,8,8,10. If the draw 2 perpendicular lines AE and…

Q: Suppose that a circle is to contain the three vertices of a triangle. Relative to the triangle,…

A: Option A

Q: In Circle U, mZR = 38°. What is m2U ?

A: Answer: B. 76o

Q: Find the area of a triangle with sides of length 9 and 13 and included angle 56°.

A:

Q: Determine the number of sides of the regular polygon in which each exterior angle measures 5° sides

A: To find the sides of polygon  Given exterior angle = 5°

Q: Find the measure of a central angle of a regular polygon that has 54 diagonals.

A: We have to find measure of central angle of the regular polygon that has 54 diagonals. We know the…

Q: If you are offered THREE slices from a round pizza (in other words, a sector of a circle) and the…

A: To find the diameter of the largest slice of pizza.

Q: What kind of triangle has three angle bisectors that are also altitudes andmedians?

A: Given: What kind of triangle has three angle bisectors that are also altitudes andmedians.

Q: Calculate the length of the third side of an isosceles triangle whose apex is 42 degrees and whose…

A:

Q: Quadrilateral ABCD is inscribed in circle O as

A:

Q: Find the area of a triangle with sides of length 20 and 45 and included angel 65°

A:

Q: This trlangle Is a(n) right trlangle. isosceles scalene equilateral

A: Solution

Q: Construct a rectangle with sides of lengths c and d.

A: Given

Q: calculate the area of a triangle given two sides and the included angle.

A: The sine of the angle between two lines gives the length of the third side. In  a triangle area is…

Q: find++the++radius+of+a+circle+inscribe+in+a+rhombus+whose+perimeter+is+100+inches+and+whose+longer+d…

A:

Q: A quadrilateral ABCD is inscribed in a circle, if AB = 90 cm, CD =70 cm, = 101.76 cm. respectively.…

A:

Q: What is the maximum number of right angles a triangle can have in (a) Euclidean geometry? (b)…

A: Given that

Q: Draw a cone that is circumscribed about a regular pyramid whose base edge is 5 inches less than 3…

A: let ABCDP be a square base pyramid circumscribing a cone whose radius equal to half of base edge of…

Q: If the perimeter of a sector is 4 times its radius then the radius measure of the central angle of…

A: Given that: P = 4R, where P = Perimeter of the sector and R = radius of the circle

Q: What is the area of a triangle with vertices at (–1, –2), (–1, 6), and (3, –2)?

A: Given query is to find the area of the triangle with the vertices provided.

Q: Which lines or line segments or rays must be drawn or con- structed in a triangle to locate its a)…

A: Given:

Q: A circle is inscribed in an equilateral triangle . If the circumference of the circle is 3, find the…

A:

Q: Find the area of a triangle with sides of length 4, 5, and 6.

A:

Q: If the diagonals of a rhombus are 12 and 20, then what is the area of the quadrilateral formed by…

A:

Q: What type of polygon must have a diagonal such that at least part of the diagonal falls in the…

A: It is known that, a quadrilateral is a plane figure that is made up of four line segments closing in…

Q: Draw segments that divide an obtuse triangle into acute triangles

A: Let us consider obtuse triangle as shown in figure below

Q: If 2 of the vertices of an inscribed quadrilateral are on the diameter, will the inscribed always be…

A: If all the vertices of an inscribed quadrilateral are on the diameter, then the diagonals of the…

Q: Calculate the area of the triangle determined by the indicated points. P1(1,0,3) , P2(0,0,6) ,…

A:

Q: The diagonal of a parallelogram divides it into two congruent triangles.

A:

Q: Describe three conditions under which two triangles would becongruent.

A: we need two triangles to describe about congruent

Q: Find the measure (in degrees) of a central angle of a regular polygon that has 20 diagonals.

A: This question is related to polygons, we will solve it using given information.

Q: Find the radius of a circle inscribed in a rhombus whose perimeter is 100 inches and whose longer…

A: GivenPerimeter of a rhombus=100 inchesCircle is inscribed in…

Q: Is there an analog to the SSS triangle congruence theorem for quadrilaterals?

A: To show whether there is an analog to the SSS triangle congruence theorem for quadrilateral.

Q: An equilateral triangle has how many congruent sides

A: An equilateral triangle has how many congruent sides

Q: Find the measure of a central angle of a regular polygon that has 35 diagonals.

A: polygon: Let the polygon has n sides,We need to find the number of sides whose diagonals are…

Q: What is the approximate perimeter of a rhombus with diagonals that measure 12 feet and 18 feet?

A: Side of rhombus = digonal122+digonal222  Perimeter of rhombus = 4×side of rhombus

Q: A parallelogram with four right angles is best classified as a: Kite Rhombus Rectangle Isosceles…

A: To classify a parallelogram shape with four right angles.

Q: Determine the number of sides of the regular polygon in which each exterior angle measures 10° sides

A: Answer and explanation is given below...

Q: A quadrilaterial with exactly one pair of opposite sides parallel is classified as Trapezoid…

A: Given that : A quadrilateral with exactly one pair of opposite sides parallel is classified as

Q: What is the perimeter of quadrilateral of MNPQ?

A: The given below image is of quadrilateral MNPQ:   The above-given quadrilateral is a combination of…

Q: Choose two figures which are topologically equivalent to eaci

A: Two figures are known to be  topologically equivalent if  we can transform one figure into the other…

Q: These figures are congruent. What is mZA?

A: Given,           The figures are congruent.

Q: Draw an inscribed quadrilateral ABCD and its diagonals intersecting at E. Name two pairs of similar…

A: Clearly from the below daigram we can see thatthe two pairs of…

Q: Determine the measure of one interior angle of the regular nonagon.

A: Our Aim is to determine the measure of one interior angle of the regularnonagon.

Q: Quadrilateral ABCD is inscribed in circle O as shown below.

A: In the given figureABCD is a quadrilateral inscribed in a circle , therefore ABCD becomes a cyclic…