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if three angles in one triangle are congruent to three angles in another triangle,then the two...
1. This exercise asks you to negate various results that are equivalent to the Euclidean parallel...
#5) construct and write the construction for a regular hexagon
The equation of a line is given below. 2x-5y=5 Find the slope and the y-intercept. Then...
prove in a saccheri quadrilateral, the length of the summit is greater than the length of...
Given A*B*C and A*C * D. Prove that B * C * D and A* B...
1. Classify the conics in R2 with the following equations. Determine the centre/vertex and axis of...
Find the angle θ between the vectors (,) and (-2,-4).
please please answer all of them 1. The lateral area of a cone is 49 in2...
(a). From a circle of radius 18, a sector having a central angle of 60 is...
Prove that the intersection of any two perpendicular bisectors of the sises of a triangle is...
if L is a line whose equation is y= 3x +3 find the equation of the...
Prove that the axiomatic set for Fano's 7 point/line geometry is independent.
if the coordinates of A and B -1 and 5 respectively, what are the coordinates of...
Prove that the isometries is a bijective functions that is in R^2 to R^2.
In this activity, you'll construct a segment bisector by completing a geometric construction. In order to...
4. Can an n-gon be an affine plane? What kind of parallel postulate does an n-pencil...
In triangle ABC , let the bisectors of angle b meet AC at D and let...
A student wants to know if it is possible to find the perimeters of the following...
The governor wants to build a new library for three cities X,Y and Z. The distance...
how do i circumscribe an equilateral triangle about a circle?
a) In the triangle ABC, angle A is 60 ° and angle B 90 °. The...
Why can’t you use regular pentagons to tile an area? What regular polygons can be used?
Lana says she has found the circumcenter of a rhombus that is NOT a square by...
Draw a circle with your compass. Draw in a diameter. Construct a perpendicular bisector of the...
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze...
Prove in hyperbolic geometry: If two Saccheri quadrilaterals have congruent bases and congruent summits, then they...
"If you're told that a construction in a particular geometry produces a rectangle, which Parallel Postulate...
"Consider a model of Neutral Geometry containing the fewest possible distinct lines. How many distinct lines...
prove that rectangles dont exist in hyperbolic geometry
Construct a counterexample to show that AAA is not a criterion for congruent triangles. Thank you...
Find all the rotational symmetries of a cube.
find the coordinates of the vertex and the equation of the axis of symmetry for the...
What is the angle of parallelism for a line l and a point P in the...
Prove that the isometries of the plane form a group.
Prove any isometry of R^2 is bijection and its inverse is an isometry.
Show that the AAS and ASA congruence theorems (Euclid I-26) fail in taxicab geometry.
Let △ ??? be a triangle with centroid ? and medians ??′, ??′, and ??′. Prove...
For the following, give constructions using a straightedge and a compass with memory. You must prove...
For the following, give constructions using a straightedge and a compass with memory. You must prove...
Use postulates (axioms) to explain how Projective geometry differs from Euclidean geometry
Construct a circle of a griven radius that touches two lines. how many solutions are there?
Let f : [n] ? [n] be a function and let Tf be a labeled tree...
Is It Possible to have Two rectangles with the same area, but a side of one is...
Two circles are in contact internally at a point T . Let a chord AB of...
5. Let’s assume the following statements are true: Historically, 75% of the five-star football recruits in...
Triangles. For each of the following, state whether or not it is possible to have a...
Which is true? All equilateral triangles are similar. All rectangles are similar. All parallelograms are similar....
Prove the following statement: The radical center of three non-concentric circles is the center for an...
If the vertices of a square are a,b,c,d, prove that the center of the square is...
PICK ONE of the following situations, decide whether the mean or the median would likely give...
From the top of a fire tower, 50 m high, a fire is spotted at an...
If ?ABC is an isosceles triangle where AB¯?AC¯, m?A=(2x?20)°, and m?B=(3x+5)°, then m?C=__________°.
Consider the function f:R?R given by f(x,y)=(2-y,2-x). (b) Draw the triangle with vertices A = (1,...
Prove that if AL, BM, and CN, are proper Cevian lines that are concurrent at an...
Any side of any polygon is less than the sum of the remaining sides.
At the city museum, child admission is $5.40 and adult admission is $9.90. On Tuesday,186 tickets...
In the lab, Abdul has two solutions that contain alcohol and is mixing them with each...
A 2x3 foot cage is just right for 12 rabbits. By what factor do the dimensions...
Josh's Coffee Shop makes a blend that is a mixture of two types of coffee. Type...
Prove the Vertical Angle Theorem. Please state why and construct a proof!
Approximate the x-intercepts and local extrema for the polynomial 0.1x4 + 0.2x3 - 15x2 - 17x...
Prove: The diagonals of a square are perpendicular.
A massive oil spill in the gulf unleashes approximately 20,311 barrels of oil into the Gulf...
Find an equation of the plane. The plane that passes through the point (?1, 1, 1)...
Group Theory Question: Show that if a finite group G with 6 elements is not abelian,...
A stereo system is being installed in a room with a rectangular floor measuring 20 feet...
Let C1 be a circle with radius a C2 a circle with radius b, and let...
Find the perimeter and the area of the quadrilateral. 5ft and 2 ft
Prove that the bisectors of a triangle are concurrent
If two chords intersect in the interior of a circle, then the product of the lengths...
1a. Sketch and label all {012} planes in a cubic system. b. Sketch and label all...
P = 2L + 2W and A = L* W V = L * W *...
Prove the conjecture that if a given quadrilateral ABCD and it’s angle bisectors form a new...
For the following, give constructions using a straightedge and a compass with memory. You must prove...
two pizzas sell for the same price. one pizza has a diameter of 16 inches while...
Convert cos(theta)=1/4 to radians Convert cos(theta)=1 to radians Convert cos(theta)=3/2 to radians
ABC is a right-angled triangle with right angle at A, and AB > AC. Let D...
Consider a cicle with AB as diameter and P another point on the circle. Let M...
Let ABCD be a cyclic quadrilateral, and let the diagonals meet in point S. From S,...
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