Geometry Questions

The point N lies on the segment MP 4 Find the coordinates of N so that MN is M 19 12 N of MP P 8 6 Coordinates of N D

Since circles have a vocabulary all their own it is important to be able to visualize which part of the circle your problem is asking about in order to plan how to solve it Using the figure below identify these parts of the circle AB BCA AOC ABC B C Choose Central angle Inscribed angle Minor arc Intercepted arc Major arc Choose Choose

5 One of the following equations is graphed in the standard x y coordinate plane below Which one A y B y 5 1 1 2 y 54 O 5 x 1 X x 1 2 C y x 1 D y 2x 1 X E y 2x 2 X 5

Suppose that cota 1 2 a Find the exact values of sin sin 11 TL and Vann 2 0 and tan a 2 8 Undefined X

The point B lies on the segment AC 2 Find the coordinates of B so that AB is of AC 7 A 7 2 B c 28 12 Coordinates of B 0

The sides of an isosceles triangle are 26 26 and 24 cm long What is the area of the triangle Do not round any intermediate computations and round your answer to the nearest tenth 26 24 26 2 cm

A side of an equilateral triangle is 40 cm long What is the area of the triangle Do not round any intermediate computations and round your answer to the nearest tenth 40 0 2 cm X

A square has a diagonal that is 48 m long What is the area of the square If necessary round your answer to the nearest whole number 48 2 m

A triangular pyramid is formed from three right triangles as shown below Use the information given in the figure to find the length SU If applicable round your answer to the nearest whole number The lengths on the figure are not drawn accurately R 28 1 1 S U 1 I I 53 I I 117

y 2 cot 3x Drag the movable red point to set the asymptotes for one period of the given function Also place the blue point at the correct set of coordinates You may click on a point to verify its coordinates Provide your answer below TT 3 7 6 5 4 3 2 14 0 1 2 3 4 5 6 TT 3 ZTT 3 4TT 3

14 pts Hyperbola with perpendicular asymptotes are called equilateral or rectangular hy perbola Lines are perpendicular when the product of their slopes is equal to 1 Is this an equilateral hyperbola For full credit you must show all your work and provide clear rationale for your answer 6x 6y 12x 48y 6 0

The circle below has center E Suppose that m2 FEG 72 and that FH is tangent to che circle at F Find the following E H a m FG b mz GFH 0 X

Each part below contains one triangle and one figure that can be adjusted to make a triangle The markings indicate congruence a Adjust the figure on the right to explore the different triangles that can be formed Then answer the question Note that the figure will not be graded Which of the following is true O The two triangles must be congruent Reason Choose one O The two triangles do not have to be congruent b Adjust the figure on the right to explore the different triangles that can be formed Then answer the question Note that the figure will not be graded U Which of the following is true O The two triangles must be congruent Reason Choose one O The two triangles do not have to be congruent

e viewing angle 0 of an object is the angle the object forms at the lens of the viewer s eye The viewing angle is related to the object s height H and distance from the viewer D through the formula tan 2D A forest ranger views a tree that is 160 feet away with a vie gle of 18 How tall is the tree e height of the tree is approximately feet

Write an equation of a circle with diameter AB A 4 4 B 14 14 OA x 9 y 9 50 OC x 9 y 9 50 OE x 9 2 y 9 4 O B x 14 y 14 4 OD x 9 y 9 14 OF x 9 2 y 9 50

For triangle DEF given sides d 38 e 42 and f 47 Find measure of angle F Your answer will be numerical only and round to the nearest tenth

Question 0 Provide your answer below 47 in a A carpenter needs to cut a small triangular piece of wood for part of a jewelry box He knows the dimension shown and that 0 38 What is the length of a to the nearest tenth of an inch Do not include the units in your answer

A hiker is standing on the ground looking up to the top of a tree with an angle of elevation of 0 55 The situation is represented where the base of the triangle is the eye level of the hiker and the vertical side is the tree The distance from the hiker s eye to the top of the tree is 54 feet Based on the information given what is the distance a in feet from the hiker to the base of the tree Do not include the units in your answer Round to the nearest whole number Provide your

Determine the affine transformation which maps the points 1 1 3 2 and 4 1 to the points 0 1 1 2 and 3 7 respectively

A B What else is needed to prove these triangles congruent using the HL theorem A A D B Nothing else is needed to use the HL theorem C Both ABC and ZDCB need to equal 90

4 10 points Consider the line of intersection of the two planes 2x x2 4x3 5 and 3x3 2 and the line 2 1 0 s 1 2 3 Find the normal equation of the plane containin these two lines

PQ RQ and PS RS px a 160 90 b R

Use a reference angle to write sec 25 in terms of the secant of a positive acute angle in radians 36

Given the triangle Enter an exact answer in fraction form 0 15 17 8

SA 20 ft ft 5 ft 25 ft 5 ft 25 ft 5 ft

The perimeter of a triangle is 60cm The length of one side is 5cm more than the length of the shortest side and the length of the other side is 7 more than twice the shortest side 20 Develop algebraic expressions for each side of the triangle based upon the description Shortest Side a Length of Middle Side Input your answers WITHOUT SPACES 21 Length of Longest Side Input your answers WITHOUT SPACES 22 What is the length of the shortest side Shortest Side cm

15 The triangle is inscribed in the circle below Find x 5 16 Find x units A 24 15 units

Use the diagram for the following two questions are 17 Find the measure of arc 1 round to one decimal place arc 1 degrees 18 Find the measure of arc 2 round to one decimal place arc 2 degrees

30 Find the area of the following figure The units are in hectometers A 18 2 10 hm

11 Find the equation of the circle whose center is 2 1 and radius 5 units O x 2 y 1 25 O x 2 y 1 25 O x 2 y 1 25 O x 2 2 y 1 25 12 Name the following relationship between theses circles O Concentric circles O Disjoint circles O Intersecting circles 2

Match the polygon below with the correct name A N gon Undecagon Heptagon Nonagon Triangle Pentagon B the correct name

10 h 10 27 What is the height of the triangle 10 Use the button to input your answer AA 28 Find the area of the triangle

25 If the circumference of the following circle is 10 II inches find the perimeter of the square inches

14 Name the following relationship between theses circles O Intersecting circles O Disjoint circles O Tangent circles O Concentric circles

4 What would be the best way to label this polygon 5 Find x

The front view of the top of a house is in the shape of a triangle whose height is 10 inches less than the length of its base and its area is 75 in2 If b represents the length of the base which of the following equations can be used to find the value of b O b b 10 75 Ob b 10 150 Ob b 10 4 75 h h 10 Base Height 75 2

Find the volume of the pyramid 7 cm 17 cm O 387 37 cm O 396 67 cm O 399 78 cm 20 cm

Find the geometrical name of the object shown below Go O Triangular prism Hexagonal prism O Square prism Rectangular prism

Question 36 Points 2 Find the area of the polygon with the coordinates 1 2 3 2 3 0 and 1 0 O2 sq units 8 sq units O4 sq units O 16 sq units

Question 45 Points 2 The volume of a cylinder is 768 in Find the radius of the cylinder in inches if the height is 3 in O 14 inches O 15 inches O 16 inches O 17 inches

Question 28 Points 2 Which of the following lines is perpendicular to the line passing through the points 3 4 and 5 6 O y x 7 O y x 4 O y 4x 9 O y 4x 11

Find the volume of the cone that has the same base and height as the cylinder shown 12 m 21 m O 791 28 m O 793 23 m O 797 67 m

Question 41 Points 1 Identify the volume of a sphere with a diameter of 6 inches O 36 t in 48 in 216 in 288 in

Question 40 Points 3 Find the volume of a sphere with a radius of 9 cm Use 3 14 2562 cm 3000 cm O 4153 cm O 3052 cm

Question 48 What three dimensional figure models a hockey ball O Cone Points 1 O Cylinder O Sphere O Cube

Question 27 Points 3 The points 2 1 2 4 5 1 and 5 4 are the vertices of a polygon What type of polygon is formed by these points O Trapezoid O Square O Triangle O Rhombus

Question 31 Find the midpoint of the line segment joining the points 1 2 and 1 2 O 0 0 Points 2 O 1 2 O 1 2 O 2 1

Points 1 Which of the following formulas is used to find the volume of a cylinder with a radius of r units and a height of h units O Trh cubic units O 2 r h cubic units Trh cubic units r h cubic units

Question 44 Points 1 Find the volume of a cylinder if the radius and height are 9 cm and 8 cm respectively O648 cm 658 cm O 548 cm 643 cm

The graph of y f x is shown below Draw the graph of y f x 6 4