Geometry Questions

Finding the Perimeter of a Trapezoid in the Coordinate Plane What is the perimeter of the trapezoid with vertices B 4 4 C 11 4 D 20 10 and E 4 10 Round to the nearest tenth Find CD Find the perimeter 20 18 16 14 12 10 8 6 4 2 CD 2011 2 10 4 81 36 V 2 E B 4 6 P 81 36 29 P B C units 10 12 14 D 16 18 20 X

Finding the Area of a Trapezoid To find the area of a trapezoid you can use a h b b 5 6 9 units D b b 6

Finding the Area of a Trapezoid in the Coordinate Plane Using the Box Method What is the area of the trapezoid Area of rectangle B L 12 10 Area of triangle 1 6 12 Area of triangle 2 100 Area of triangle 3 2 4 8 Area of trapezoid 120 36 8 16 20 1 18 16 14 12 10 8 6 17 2 6 x 4 N Draw the box around the trapezoid and label triangles 1 2 and 3 2 41 6 units Finding an Unknown Side Length The area of a trapezoid is 86 86 square inches The height is 17 2 inches and one base is 6 inches What is the length of the other base 1 h d b A 17 2 6 x 173 72 X 8 10 12 14 16 18 20

Finding the Area of a Trapezoid in the Coordinate Plane USE DISTANCE FORMULA TO FIND LENGTHS What is the area of the trapezoid d x x QT 191 5 8 RS 12 6 0 1 RU 7 6 2 7 1 DETERMINE THE AREA What is the area of the trapezoid QT 333 RS 37 RU 37 1 A h b b 1 37 333 37 A units 20 18 16 14 12 10 8 6 4 2 20 18 16 14 12 10 B 6 4 2 y Q 1 8 y U 7 7 LAT Q 1 8 1 R 6 1 S 12 0 X 24 6 8 10 12 14 16 18 20 T 19 5 U 7 7 T 19 5 R 6 1 S 12 0 x 2 4 6 8 10 12 14 16 18 20

Directions Find the value of x 7 J 31 K N M L 9 E A F 01 21x 9 C 9x 23 27 B X X 8 16x 13 p S T D R 10 Given CH bisects ZDHG mGF 2x 6 and mDC 7x 1 E 83 G X H X Gina Wilson All Things Algebra LLC 2015 2019

What is the length of x in clue Clue 8 Just write the value do NOT include x A X 15 B

6B 28 Given the quadrilateral on the right Create a circle that touches each vertex Identify the center and radius of the circle you created Write the equation of the circle you created 104 47 4 32 3 N 40 A K

of the complex figure to the nearest tenth of a cubic meter Do not include units in your final answer 20 m

Step 3 Use trigonometry to write expressions for the missing lengths Find a and b cos 22 5 a 15 7 cos 22 5 sin 22 5 h 15 7 Find the perimeter sin 22 5 P 15 7 sin 22 5 2 8 15 7 sin 22 5 16 Step 4 Find the area of the polygon 15 7 cos 22 5 15 7 sin 22 5 16 22 5 15 7 ft

What area of nickel plating should be used to cover the front of this regular heptagonal coin if the radius is 15 mm and the sides are 13 02 mm Round your answer to the nearest hundredth Draw an apothem to form a right triangle The base of the right triangle is half the length of the side 13 03 2 6 51 Use the Pythagorean theorem to find a a 6 512 15 a 152 6 51 a 225 6 51 Find the perimeter P 13 02 7 Find the area to the nearest hundredth A 225 6 51 13 02 7 D 17 mm 115 3000 G E

D A radius of a regular polygon is a segment from the The base of the right triangle formed is half the length of the side 8 2 2 J Use the Pythagorean theorem to find a a 4 1 72 Find the perimeter Find the area cm S Q 49 4 1 a 49 4 1 P 8 2 5 49 4 14 8 2 5 8 2 cm cm to a vertex 7 cm

Warm Up 3 Area of Regular Polygons Words to Know polygon radius of a regular polygon in a plane a closed figure formed from three or more line segments such that each segment exactly two other segments one at each and no segments with a common endpoint are collinear a segment that extends from the regular polygon to a of the polygon a polygon that is both equiangular and

5A 5B 24 A contractor is making a toy model grain bin Suppose the two dimensional figure is rotated bout the vertical axis Each small square in the grid represents 1 square foot a 5A Sketch the three dimensional solid that would be formed b 5B Find the volume of the toy model

RED Assume that the Pentagon in Washington DC is a regular polygon How much land does it cover if the apothem measures about 2882 24 ft and a side measures about 921 ft Find the perimeter Find the area P 921 5 A 1 Zap ft

A regular octagon has an apothem of 12 1 inches and a perimeter of 80 inches What is the area of the octagon 12 1 80 40 12 1 in 12 1 in

Recall that a regular polygon can be broken up into congruent isosceles triangles Find the measure of each central angle 360 8 Find the measure of each base angle of the isosceles triangles 180 central angle 2 180 45 2 11 135 2 Regular Octagon 67 5 45

A 27 Which a b C d e sequence of transformations takes the graph of y k x to the graph of y Translate 1 unit to the right reflect over the x axis then scale vertically by a factor of 2 Translate 1 unit to the left scale vertically by 2 then reflect over the x axis Translate left by 2 then translate up 1 unit Scale vertically by 2 reflect over the y axis then translate up 1 unit Reflect over the line x 1 2 then translate 1 unit to the left k x 1

What is the answer to clue 5 Enter the value of x only do not include x Clue 5 Given DH EG Solve for x D x E H 5 G 12 10 F x

What is the value of the star and the heart in Clue 4 Enter the star then the heart with a comma in between Do not include spaces i e a b Clue 4 Determine the values of a and b in this triangle Record the value of each shape The lock will ask for two or more values 45 2 6 a b

5 occurred to the triangle y K 5 4 3 2 1 1 2 L G 2 3 MathBus com

BB 23 The table shows data from the science fair experiment that studied the number of eggs that hatched at three different temperatures What is the probability that an egg hatched a b What is the probability that an egg hatched or it was kept warm Give an example of two events that are independent of each other hatched not hatched i cool 6 19 room temperature 14 warm 23 2

What is the value of x in clue Enter the value rounded to the nearest tenth X

000 ft below 30 bpm 3 16 above 80 bpm 19 12 31 total 22 28 50 BA 3 The table shows information from the survey about the resting heart rate in beats per minute bpm for 50 people living at altitudes or below 10 000 feet A What is the probability that a person surveyed selected at random has a heart rate above 88 bpm B What is the probability that a person surveyed selected at random has a heart rate above 80 bpm or lives above 10 000 ft

BA 22 100 North High students were asked about their classes this semester Are you in PE and are you in band The responses are recorded in the Venn diagram a How many students are in band b What does the number 20 represent PE 35 20

7 Which equation could be used to solve for the missing side sin 28 X 24 X 28 14 cos 28 14 X

8A 20 List all possible outcomes for spinning the spinner and rolling a fair die Make a tree diagram table or just a list 8A 21 What is the probability of spinning a Y and rolling a 3 X Z Y

2 Classify the triangle Using une best name 130 20 7

9 Find the measure of x and y Y X 80

3 Write an equation be used to solve for x given the segments A 9x 7 39 B 3x 20 C

6 Identify the center and radius of the circle given x 9 y 7 8

8 Name the angle in 4 different ways 2 D7

1 a What is the slope of a line perpendicular to y x 7 b Parallel

CIRCLE A 60 5 CIRCLE B G 78 19 Select ALL the statements that are true The sector in B has a larger area than the sector in circle A account the sectors circles A and B are similar umference taken up by the arc outlining circle A s sector is smaller than the fraction of the circumference taken up by the arc of circle B A s sector to its total area is

4 Solve for the values of x y and z yx N 76

6C 13 Prove that quadrilateral ABCD is a rectangle G B A 1 S D

Find the arc length of major arc GH Round your answer to the nearest tenth 265 cm H 9 1 cm G

Find the value of x Write your answer as a decimal 122 X D 41 40 B

Find the area of a circle with a diameter of 14 meters Round your answer to the nearest hundredth of a square meter The area of the circle is about square meters

Find the value of x A XD 97 89 0

Match each line ray or segment with the term that best describes it E Radius Chord Diameter Secant Tangent IIII

A 60 foot zip line from a tree to the ground forms a 45 angle of elevation from the ground How high above the ground is the top of the zip line Round your answer to the nearest tenth of a foot feet

ROOF ACC LITA Mentify and une relationships with angles segments lines and polygons in a circle CAJ The are from A to 8 NOT passing through C measures 50 degrees Select ALL the bue statements A Angle BCA measures 50 degrees Angle BCA measures 25 degrees C Angle BOA meatures 50 degrees D The from B to Chot passing through A measures 180 degrees E Angles C80 and CAD are congruent DAIS Quadrilateral ABCD is shown with the given angle measures Select ALL true statements A Angle A measures 10 degrees The measure of angle A and 0 must add to 180 degrees CAngle A measures 55 degrees D Angle measures 55 degrees E Angle D measures 40 degrees DA Find the measure of the remaining angles of quadrilateral WXYZ D C NM 125 40 PT

are planting a garden in the shape of an equilateral triangle as shown in the diagram You want to find the area of the garden to determine how much topsoil will need 1 0 4 ft 4 ft A 1 2 30 4 ft ubstitute the values of b and h in the formula A b h for the area of the garden

O Cinesa dilation of circle A A b L CHELLE A d CIRCLEA Lanstar U of The ha What is the scale factor of the dilation What the length of the highlighted arc in cle A what is the length of the highlighted arc in circle B What is the ratio of the arc lengths How does the ratio of are length compare to the scale factor that are true 60 5 refin DRCLE CIRCLES O 12 9 9 B 2

A 20 foot ladder leans against the side of a house with its base 3 5 feet from the house Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house Round your answer to the nearest hundredth The ladder reaches feet high

Find the length of JM JM H 20 30 K 45 M N

Rectangle A and Rectangle B are similar Rectangle A has side lengths of 10 and 15 Rectangle B has a side length of 45 What are the possible values for the length of the other side of Rectangle B Select all that apply 25 0 30 O 50 0 67 5 Previous 10 11 12 13 14 15 16 17 18 19 Next

Give the value of each trigonometric ratio cos M cos N sin M sin N tan M tan N

8 The figure is filled 20 of the way with water Determine the volume of water in the tank 9 m a 45 cubic meters b 81 cubic meters C 27 cubic meters d 120 cubic meters 9 m 5 m

You can calculate a distance across water using a surveying technique as shown in the diagram Find WX 9 52 m WX m W X 8m N 10 m Not drawn to scale