Geometry Questions

2 Given 1 m 11n Prove mIn 1 1 m 1 In Statements Reasons 1 Given 23 43 35 69

Examine the two pentagons shown E D A C B D C B OR T ABCDE OR Ro ABCDE T Ro ABCDE ORIT Ro ABCDE A Which of the following combined transformations can be used to map ABCDE on ABCDE

2t 3 13 when t

1 Label this shape ABC Reflect it over the x axis Write the coordinates below A B C A B C 2 Label this shape DEFG Reflect it over the y axis Write the coordinates below D E F G D E F G 3 Label this shape HJK Translate x y x 3 y 4 Write the coordinates below H H J K J K

4 m6 m47 180 in the diagram Therefore lines a and bare parallel not parallel circle one If you circled parallel provide the postulate theorem to support your claim If you circled not parallel explain why 8 7 9 10 16 15 16 3 4 6 5 11 12 14 13

ARST is congruent to AUST by ASA What is the value of x S R 0 0 0 76 5x 1 U T x 2 6 X 76 x 20 6 X 15

2 Select the correct answer from each drop down menu Consider triangles ABC and QPR shown Triangle ABC is triangles are B not congruent congruent P R triangle QPR Since the transformations Reset Next

ABC and ADEF have congruent corresponding angles and satisfy the AAA correspondence ABC and ADEF are always congruent may or may not be congruent AAA correspondence Reset Next a criterion for congruency of any two t

Select the correct answer from each drop down menu In the given image line AB is parallel to line DC and DF BF D B By the alternate interior angles theorem ZFDCZFBA and by the vertical angles theorem ZAFBZC Complete the statement ADFC A by the SAS HL criterion Reset Next

E A 60 B 41 In the diagram AGEF and AHEF are congruent What is the value of x C 28 H D 30 60 2 x 2 LL F

In the given triangles PR AC and ZP ZA R B Which additional fact is needed in order to use the ASA criterion to prove that the two triangles are congruent OA ZR ZC OB 4Q 2B OC PQ AB OD RQ BC

4 B A 10 120 B 16 rnek Soru C 20 12 Antrenman AC BC X D 24 E 36

Federal Government How a Bill Becomes a Law How a Bill Becomes a Law Quick Check Explain what happens when a bill is vetoed 1 point O When a bill is vetoed a committee member rejects the bill O When a bill is vetoed it moves from committee review to chamber review O When a bill is vetoed the president rejects the bill O When a bill is vetoed Congress rejects the bill

1 1 Complete a two column proof Given SU LR TU LN Prove ST NR Statements SU LR TU LN Reasons 1 Given S L N T TROM bhe R

Prove the Converse of the Alternate Exterior Angles Theorem Given 42 27 1 42 27 Statements Prove m n Reasons 1 Given 3 2 4 5 7 6 8

1 Complete a two column proof of the Vertical Angles Theorem Given 22 and 24 are vertical angles Prove 2 24 Statements 1 22 and 24 are vertical angles 41 and 24 are a Linear Pair 21 and 2 are a Linear Pair 2 Reasons 1 Given 2 Given in Diagram 4 1 3 2

1 What is the value of r 1 10 3 4 In the accompanying diagram line a intersects line b 5 10 90 14 x 5 2x 5

196 Ox 7 10 None of the above Oy 7 Ox y 7 5 10 JANKY 5 0 6 10 15 THE KING JAN AN 10

At the beginning of the lesson Jacob determined that there was a problem with the sail length measurements of 7 5 meters 4 8 meters and 2 5 meters Explain how Jacob was able to determine there was a problem with the specifications of the triangular sail BIUX X 15px V AVV

In the invoice that specifies the side lengths of the triangular sail as 7 5 meters 4 8 meters and 2 5 meters suppose the mistake was in the length of 2 5 meters Determine the range of values that are possible for the third side length x of the sail BI U X X 15px V A v B

Match the trigonometric function with one of the graphs I VI f x tan x Select V klei NI h E AT THE 1 III

While sailing Jacob is 150 feet from a lighthouse The angle of elevation from his feet on the boat at sea level to the top of the lighthouse is 48 What can you conclude about the height of the lighthouse with respect to Jacob s distance from the lighthouse Explain your answer BIUX X 15px A

Find the period y tan x Graph the function HANSA 858722

Find the period y 2 tan x Graph the function HMS 212 WAN Need Help Read it ww K

1 1 point Match each set of level curves with the appropriate graph of function Briefly explain your choices 1 2 3 OXO a b C

Mike is designing two sails for Jacob Help him determine the range of possible lengths of the third side of each sail Part A The first sail has one side of length 9 feet and another side of length 6 feet Determine the range of possible lengths of the third side of the sail BIUX X 15px V A Space used includes formatting 0 15000 Submit A BY Part B The second sail has one side of length 22 feet and another side of length 2 feet Determine the range of possible lengths of the third side of the sail BIUX X 15px

B 15 BIUX X 15px Question 3 2x 4 Space used includes formatting 0 15000 TUKI C AVA Submit

Drag each tile to the correct box Triangle ABC is shown B 82 38 A Order the sides of the triangle from shortest to longest AB BC AC

Based on the given lengths determine whether the segments can form a triangle Drag each set of side lengths to the correct location on the table Can Form a Triangle Can t Form a Triangle

A triangle has side lengths BC 9 AB 7 and AC 13 Which angle in the triangle has the greatest measure ZA answer Cannot be determined ZB

How does the figure verify the triangle inequality theorem 4k 11 O by showing that the sides with lengths of 7 and 4 can form many possible triangles by showing that the sides with lengths of 7 and 4 can meet to form a third vertex by showing that the sides with lengths of 7 and 4 will never meet by showing that the sides with lengths of 7 and 4 will only meet when they lie on the third side O O O

Select the correct answer from the drop down menu Manuel is building a frame for a triangular table He has four pieces of wood measuring 8 feet 3 feet 5 feet and 12 feet What pieces can Manuel combine to make the frame Manuel could only use the pieces that are 8 ft 3 ft and 5 ft 8 ft 5 ft and 12 ft 8 ft 3 ft and 12 ft 3 ft 5 ft and 12 ft in length

esson 9 Practice Prob 1 An image of a book shown on a website is 1 5 inches wide and 3 inches tall on a computer monitor The actual book is 9 inches wide a What scale is being used for the image b How tall is the actual book

owing equation represents a hyperbola Fut the equation in to standard for Standard form of a hyperbola 25x 16y 100x 96y 444 B 11 Based on the equation you just put in to standard form make a conjecture as to where the center is located and how the a and values affect happens to the hyperbola if the x term is negative graph of the hyperbola What 12 Using a graphing utility like Desmos or GeoGebra graph the equation of the hyperbola am confirm your conjectures If necessary make a new conjecture based on your findings aft graphing 13 The transverse axis of a hyperbola connects the two vertices List the coordinates of th vertices

Select the correct answer from the drop down menu How does extending vertex A further to the left of vertex B verify the relationship between sides and angles in t A B As the length AB increases the measure of ZC decreases increases stays the same

Y sec x 1 y tan x y N y 3x 2 1 YOOOL 3 2 2x R Y 4 3 x 2 7 2 3A 4 JUDUL 3 2 R 2 A 3x 2 1 2 91 J2 2 2x X 2x X No the functions are equivalent except when tan x nit 2 JU U VL 3 2 3A 3A nit No the functions are equivalent except when sec x 1 7 YANG 3 2A 2 27 R 3 A 2 y JUUL y y H Use the graphs to determine whether the expressions are equivalent Verify the results algebraically O Yes the expressions are equivalent 2 1 2 3x 2 27 2x

Date Name Read and respond to each question carefully Show work for full points Test is scheduled for Thursday October 5th 2023 tentative 1 Find the length of XY Explain how you found your answer 6 12 2 Point Mis between points L and Non LN LN 6x LM 4x 8 and MN 27 Use the information 6x Use the diagram 3 Give another name for line S 4 Name three points that are coplanar 5 Name three points that are collinear 6 Give another name for plane K 4 2 4x 8 2 2 M 27 7 Plot the points in a coordinate plane Then determine whether AB and CD are congruent 3 2 R Period P 8 The endpoints of CD are C 1 6 and D 7 5 Find the coordinates of the midpoint M 9 The midpoint of RS is M 1 2 One endpoint is R 6 6 Find the coordinates of endpoint S

You will experimentally verify the relationship between side lengths and angles in triangles using geometry software Directions Read the instructions for this self checked activity Type in your response to each question and check your answers At the e of the activity write a brief evaluation of your work Activity Use GeoGebra to explore side angle relationships in triangles and to complete each part For help watch this short video about using GeoGebra measurement tools Part A Use the distance or length tool to add side lengths to the triangle Then use the move tool to drag vertex C to make it the largest angle and then the smallest angle What happens to the side opposite vertex C when it is the largest angle The smallest angle Type your answer in the box

hot tub on e located at ot tub so it is d your Example 3 A is the incenter of APQR Find each measure 7 MZARU P 8 AU 10 mZPHU 11 HU 3x 2 T 20 A 4x 9 40 U is the incenter of AGHY Find each measure 9 MZUGM K R G M 28 H 21 B 12 5 P

Examples 1 and 2 Find each measure 1 mLABE B A 20 E 43 mZEWL W 7 C 7x 5 3x 21 E R 2 mZYBA B 5 IU 19 19 47 8 A 8 T 2x 5 U 7x 3 MK M 2x 13x8 6 mZMYW T 4x 1 Y M 2x 5 W

d x x y 4 Donnie still holds to his claim that this shape is both a parallelogram AND more specifically a rectangle too Except Donnie found a different way to prove this is a rectangle He claims that if the diagonals of the figure are congruent to each other that would prove it s a rectangle Use the distance formula or Pythagorean Theorem to find the length of each diagonal AC and BD Show all work 4 pts 5 Length of AC 4 4 a b c Length of BD a Is Donnie correct Are the diagonals of the quadrilateral congruent 1 pt b If the diagonals are congruent does this make the shape a rectangle a parallelogram or both In other words what shape has congruent diagonals Explain your answer thoroughly 2 pts 6 Why do you think Walter may have thought this was a parallelogram if he was looking at the coordinate plane Does it appear that ABCD has any right angles Explain what s wrong with the diagram that caused Walter to believe this was only a parallelogram 3 pts

5 Using visual observation determine whether the graph is symmetric with respect to the a x axis b y axis or c the origin a is the graph symmetric with respect to the x axis Choose the correct answer below A MO C No because for 2 3 No because for on the graph OB Yes because if a b is on the graph then so is a b the point 1 3 NH the point 3 is not JU 3 is not on the graph OD Yes because if a b is on the graph then so is a b 21 8 2

Give the slope and the y intercept of the line 6x 2y 8 0 Slope y intercept 0

ationalize the denominator just numbe 9 please Evaluate using exact values and rationalize the denominator 25 sin 26 cos 4 Cos 77 5m 6 5m 4 27 2 cos sin 4 28 4sin sin cos 7m 4x 247 3 30 2 cos 29 2 sin 31 sin 5m 32 6 cos 2 r sin 1 11 z 5m cos 1 3 ST cos 117 3 cos

Select the correct choices that complete the sentence below The value of tan 150 is exact value of tan 150 is because 150 is in quadrant The reference angle is

Find the area of the triangle below Carry your intermediate computations to at least four decimal places Round your answer to the nearest hundredth 5 ft 38 7 ft X

Consider a triangle ABC like the one below Suppose that a 53 b 6 and c 54 The figure is not drawn to scale Solve the triangle Carry your intermediate computations to at least four decimal places and round your answers to the nearest tenth If there is more than one solution use the button labeled or 0 B C 0 OF E X No solution

ngle below Carry your intermediate computations to at least four decimal places Round your answer to the nearest hundredth Find the area or 13 in 140 8 in in X

Tom is on vacation at a tropical bay that has three islands He rents a boat on Island A and plans to navigate to Island C which is 15 miles away Based on t figure below at what angle 8 should he navigate to go to Island C Island A B 15 miles 11 miles X 8 miles Island B Island C Carry your intermediate computations to at least four decimal places Round your answer to the nearest tenth of a degree S

Bob is flying two kites He has 98 feet of string out to one kite and 116 feet out to the other kite The angle formed by the two strings is 29 as shown in the figure below Find the distance between the kites 98 ft feet 116 ft Carry your intermediate computations to at least four decimal places Round your answer to the nearest tenth of a foot 29 X S