Geometry Questions

U What is the value of x 3 B 5 12 T S 3x 20 cm

Label each triangle below as ABC Then transform each according to the rule Finally classify the transformation or devise a rule for it x y x y 13 9 Transformation of O 14 x y x 7 y 5 Transformation 6

15 Rotate the figure 90 clockwise about the origin 19 Rule x y 6 mwoll ayana Tung bongo astsupa DE CE bias te

27 Find the measure of the angles 20x 5 24x 1

Does the design below have rotational symmetry If so by how many degrees Bat How m

Use the figure below to find only one angle that fits each description 7 m212 8 m 12 9 m 12 10 m 12 because of corresponding angles because of alternate interior angles sumitno12 tical angles 10 5 6 because of vertical 180 because of consecutive angles 9 10 13 14 HB 3 4 seanl 7 8 ried 11 12 15 16

Find the missing term 19 1 1 2 3 5 8 21 Draw the next shape in each pattern 20

5 How many lines of reflection symmetry does the design below have Show your thinking LS Clishib

28 Find the measure of angle A A x 34 x 64

16 What is the one remaining type of transformation that is not on this test page Is that remaining type of transformation rigid or non rigid

Find the lengths x and y in the figure below y 22 3 16 5 16

Sketch label and mark the figure described below 11 Isosceles right triangle ABC with AM where M is the midpoint of base BC SSF 12 True or False If the side of an octagon has length 3 cm then its perimeter is 24 cm

Solve for the variables Figures may not be drawn to scale 5 3x 8 2x 12 1300

5 O H E 3 4 5 6 Stateless Nation Kurds An ancient group with a distinctive language and culture and concentrate in Turkey Iran and Iraq Smaller numbers live in Syria Armenia and Azerbaijan Ethnic Enclave completely surrounded by another state but not controlling it Bretons and Basques in France In France the concept of being French permeates virtually everyone who lives there Nevertheless two minorities on the mainland are distinctly non French the Basques of the southwest and the Bretons of The peninsula known as Brittany Perfect Nation State Icelanders Although they are of Northern European origin the people who live on the island of Iceland have evolved as a nation of their own Virtually the entire population of Iceland is today comprised of Icelanders and few Icelanders live anywhere else in the world Another example is Japan Occupied by a distinct nation or people Bi National State Flemings and Walloons in Belgium Although the

Ann planted daisies in her garden After a month she measured the height of each daisy Daisy heights 0 2 6 center 3 X X x X 4 5 Number of inches 6 spread 7 7 center X x ta Complete the sentences The median of the data is 7 inches It describes the spread of the distribution X 10 7 spread

If these two shapes are similar what is the measure of the missing length q K 75 m 9 15 m 9 meters 9m

Answer all of the following questions All questions must be solved using Excel formulas or functions Use the functions in Excel to solve for the missing item in each row Rate NPER pmt PV FV 5 8 100 1 000 Q1 9 10 0 Q2 4 8 Q4 Q5 20 Q3 50 000 0 1 000 0 2 000 8 12 000 0 5 000 7 000

Put the events in order of increasing probability P 0 P 1 You roll a 6 sided die and it does not land on 1 You pull a green ball from a jar of all pink balls On a spinner with just 3 and 5 you spin an odd number You roll a 6 sided die and it lands on 5 or 6 You flip a dime and it lands on tails

2 of 3 S kipped eBook Print eferences 2 Complete the below table to calculate income statement data in common size percents Note Round your percentage answers to 2 decimal places KORBIN COMPANY Common Size Comparative Income Statements For Years Ended December 31 2021 2020 and 2019 2021 2020 Sales Cost of goods sold Gross profit Selling expenses Administrative expenses Total expenses Income before taxes Income tax expense Net income 2019

Find the values of m and n me G 15

38 Given BC AD BC AD Prove AB CD Statements 1 BC AD 2 4BCA DAC 4 AC AC 5 A Reasons 2 3 given D

Directions Give each trig ratio as a fraction in simplest form 1 D Rimeti 29 F 20 E This is a 2 page document work 20 TPI Sin D Cos D Tan D Sin E Cos E Tan E

1 ABC geninde m B 60 AC 12 3 cm ise genin evrel emberinin yar ap ka cm dir A 12 3 bin B 9 3 A C 6 3 106 D 12 Q E 9 ossa Me OA

14 The bottom of a ladder must be placed 3 feet from a wall The ladder is 12 feet long How far above the ground does the ladder touch the wall CH

11 In a computer catalog a computer monitor is listed as being 19 inches This distance is the diagonal distance across the screen If the screen measures 10 inches in height what is the actual width of the screen to the nearest inch 10

2 Givens AVD 3x 17 DVC Sx 3 Prove m4BVC 77 Statements Reasons

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropria 3 sec 0 4 0 8 x n 6 2 rad

d K ces 1 Compute debt and equity ratio for the current year and one year ago Current Year 1 Year Ago Current Year 1 Year Ago Numerator Numerator Debt Ratio 1 1 1 1 Equity Ratio 1 1 1 1 Denominator Denominator 11 11 Equity Ratio Equity ratio Debt Ratio Debt ratio

Solve the given equation Enter your answers as a comma separated list Let k be any integer Round terms to three decimal places where appropriate If there is no solution enter NO SOLUTION sin 0 cos 0 5 sin 8 0 0 MY NOW

Solve the given equation Enter your answers as a comma separated list Let k be any integer Round terms to three decimal places where appropriate If there is no solution enter NO SOB 5 tan 0 sin 0 4 tan 0 0 0

Solve the given equation Enter your answers as a comma separated list Let k be any integer Round terms to three decimal places where appropriate If there is no solution enter tan 0 9 2 cos 0 1 0 0

The measures of the angles of a triangle are shown in the figure below Solve for x 5x 6 106 43

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropriate 5 sin 0 1 0 0 rad

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropriate 3 sec 0 4 0 0 rad

Solve the given equation Enter your answers as a comma separated list Let k be any integer 2 2 0 sin 8 rad List six specific solutions 0 rad

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropriate 4 cos 8 3 0 0 rad

he smallest positive number for which f x 2x 1 f cos f z 0

10 In AABC at the right CD is an altitude and CE is a median as shown a Which angle has a larger measure ZCDB or ZCEB b If the m B 72 m A 50 and mZAEC 112 then m ECD and m CEB c Is CD a median for ACEB WIND Explain str All Rights Reserved MathBits com A PAPE 180 90 18 MathBits com D B

Solve the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropriate sin 0 1 8 rad

Prove the identity cos 2x sin 2x cos 4x Use a Double Angle Formula and simplify cos 2x sin 2x cos 2 11

Prove the identity sin x cos x 1 sin 2x Expand the product and use a Pythagorean Identity and a Double Angle Formula to simplify sin x cos x sin x 2 sin x cos x 1 2 sin x

Find sin 2x cos 2x and tan 2x from the given information sin x 8 17 x in Quadrant III sin 2x cos 2x tan 2x

Simplify the expression by using a Double Angle Formula or a Half Angle Formula a 2 tan 4 1 tan 4 b 2 tan 40 1 tan 40

Prove the identity sin 10x 2 sin 5x cos 5x

A right triangle has legs with lengths of 28 centimeters and 20 centimeters What is the length of this triangle s hypotenuse in centimeters A 8 6 B 4 74 C 48 D 1 184 6 The perimeter of an isosceles triangle is 83 inches Each of the two congruent sides of the triangle has a length of 21 inches What is the length in inches of the third side 7 In a right triangle the measure of one of the acute angles is 51 What is the measure in degrees of the other acute angle A 6 B 39 19 D 31 8 Each side of a 30 sided polygon has one of three lengths The number of sides with length 8 centimeters cm is 5 times the number of sides n with length 3 cm There are 6 sides with length 4 cm Which equation must be true for the value of n A 5n 6 30 B 6n 6 30 C 8n 3n 4n 30 D 8 5n 3m 4 6 30 9 A right circular cone has a height of 22 centimeters cm and a base with a diameter of 6 cm The volume of this cone is n cm What is the value of n

Name Date Carefully read and respond to each question You will be taking the PSAT on Tuesday 10 24 2023 References 1 A 70 B 140 C 1 156 D 1 224 A C 2pr V fwh A w A 8 B 16 C 64 D 128 V nr h h What is the area in square centimeters of a rectangle with a length of 36 centimeters and a width of 34 centimeters 2 There are 170 blocks in a container Of these blocks 10 are green How many blocks in the container are green 3 The area of a square is 64 square inches What is the side length in inches of this square a The number of degrees of arc in a circle is 360 The number of radians of arc in a circle is 2 The sum of the measures in degrees of the angles of a triangle is 180 2x 60 2 30 4 A right rectangular prism has a length of 28 centimeters cm a width of 15 cm and a height What is the surface area in cm of the V h 2 45 S x 3 Special Right Triangles Perioa V v wh

October 20 A 3 2 7 9 S A un m N 6 5 4 3 2 1 1 2 45 B 5 6 3 4 5 6 7 8 9 10 11 12 13 14 15 P 0 2 4 4 C 13 2 D 5 2

The SAS or side angle side criterion states that two triangles are similar if two pairs of corresponding sides are in the same ratio and their included angles are congruent You ll use GeoGebra to demonstrate this Use the GeoGebra activity to complete each step below For help watch these short videos about using GeoGebra to draw points lines and angles and use the measurement tools Part A Create a random triangle AABC Record the lengths of sides BC and CA and the measure of the included angle Take a screenshot of your dilation save it and insert the image below the table BIUX X 10pt V AVA 2BCA side BC side CA Measure

You will use the GeoGebra geometry tool to investigate whether two pairs of corresponding angles in two triangles are enough to prove that the two triangles are similar Open the GeoGebra activity to complete each step below For help watch these short videos about using GeoGebra to draw points lines and angles and use the measurement tools Part A Create a random triangle AABC Measure and record its angles BIX X 14pt v AVA Angle Measure ZCAB ZABC ZACB Space used includes formatting 803 15000 Part B Now you will attempt to copy your original triangle using two of its angles Draw a new line segment DE of any length and parallel to AB from AABC You can draw DE anywhere on the coordinate plane but not on top of AABC From point D create an angle with the same measure as ZCAB From point E create an angle with the same measure as ZABC Draw rays from points D and E to E and D respectively to form the angles Label the point of intersection of the two rays F Draw ADEF by creating a polygon through points D E and F K Record the measures of the angles of ADEF Take a screenshot of your results save it and insert the image below the table BIY X X 14pt Angle Measure EDE AVA S A

O Find the value of x 16x 4 9x 6 58