Geometry Answers

Identify the graph of each of the following showing the centre, foci, length of the latus rectum, the eccentricity and asymptotes where applicable

I. 25x² + 4y² = 100

II. 25x² + 16y² = 400

Find the measure of V of Rombus WXUV

U=80°

ATOM is similar to IRON. The sides of ATOM are 3, 6, 9, and 12 centimeters. The shortest side of IRON is 2 centimeters long.​

a. What is the scale factor of ATOM to

IRON

b. Find the lengths of the two longest sides of IRON

c. Find the perimeter of IRON.

d. Find the ratio of the perimeters of ATOM and iRON.

A cone made of paper is used to drink water from. It is made from circular paper with a radius of 12 cm, with a sector of 120° cut out. Calculate the area of paper needed to make the cone cup.

you have 80 linear feet of fencing with which to enclose a circular space for a garden find the largest area that can be enclosed with this much fencing and the diameter of the corresponding garden

A vacant lot has the shape of a trapezium having sides 8m, 12m, 18m, and 20m . If the sum of of the opposite angles is 230⁰ , find the area of the lot in square meters

Given two similar triangles, one with small measurements that can be accurately determined, and the other with large measurements, but at least one is known with accuracy, can the other two measurements be deduced? Explain and give an example.

The similarity of triangles gives rise to trigonometry.

How could we understand that the right triangles of trigonometry with a hypotenuse of measure 1 represent all possible right triangles? Ultimately, the similarity of triangles is the basis for proportions between sides of two triangles, and these proportions allow for the calculations of which we are speaking here. The similarity of triangles is the foundation of trigonometry.

The following points define quadrilateral ABCD:

A (1, -5, 2)

B (8, -5, 7)

C (-13, 10, 7)

D (8, -2, -2)

Prove wether this shape is best described as a:

a) Square

b) Rectangle

c) Rhombus

d) Parallelogram

e) Kite

f) None of the above

Westwood Grocery Store needs a new freezer for popsicles and ice cream bars. The owner finds a freezer that is 4 feet long, 2 feet wide, and 3 feet tall. What is the volume of the freezer?