2D Geometry Questions and Answers

20 points High population density can cause increases in competition for resources such as food and shelter The table shows the number of zebras living in four different regic Population of Zebras Area km Region A Region B Region C Region D 630 16 400 17 800 In which region is competition for resources most likely the greatest Region A Region B Region C Region D

If the radius is 5 what is the circumference 25 pi 1 2 pi

If the diameter of a circle is 6 what is the circumference

The radius of a circle is 2 centimeters What is the length of a 90 degree arc 4 pi 2 pi

x If two triangles satisfy the SAS criteria which statements describe the rigid motions that would map one onto the other A A translation rotation and reflection would map one onto the other if the two triangles are distinct from each other 4x B A reflection would map one onto the other if the two triangles share a common side C A translation rotation and reflection would map one onto the other if the two triangles share a single common verte D A rotation and reflection would map one onto the other if the two triangles share a single common vertex A rotation and reflection would man on onto the other if the two triangles chare a common side

If AASCA KSC then 28 is congruent to which angle A 26 1 4 S

5 7 124 4 8 9 23 8 9 230 4 124 7 5 3 6 15 420 49 76 7 1

x mZX 55 and mZY 75 then mZW A B C C 105 20 130 35 X

x Find y if x 60 x x X xx A 30 B 35 C 50 C 40 A to D

Which of the choices shown could be used to prove that AACP ABCP A B C SSA SAS ASA A CRCTC

x On your geometry test you have two tria x A AMNO is a right triangle

1x For which pair of triangles would you use SSS to pro A

x Which theorem proves that the triangles are congruent A SSS B A

Roosevelt Park is in the shape of a rectangle mile O What is the area of Roosevelt Park square miles 9 20 6 3 mile S square miles 27 square miles

Triangle A B C is the image of triangle ABC after a sequence of rigid motions C B YA 5 1 Reflect triangle ABC across the 4 3 is for 4 of this SWYK 2 A 5 4 3 2 1 0 1 A 1 2 3 4 axis B Fill in blanks to complete the set of rigid motions that take ABC onto A B C 2 Then translate by the directed line segment from 2 2 to C 5 X Plane if you need to draw on the sketch go to https student desmos com join 3u6c3k Slide 1 is for 1 slide 2

Triangle DEF has been drawn in a coordinate plane The ordered pairs are D 3 3 E 2 1 F 2 1 F 21 2 1 0 D 3 3 3 E 2 1 4 5 What would be the coordinates of E under a the rule x y x 3 y 1 OE 1 0 OE 5 0 OE 5 2 OE 6 2

What is the measure of ZACB below A 25 50 100 150 50 8

What is m XYZ 194 83 O 97 166 None of the other answers are correct

Find the measure of the arc or angle indicated 106 O 67 O 65 O 53 O 76 D R l

CONCEPTS 1 The function f x 5 is an exponential function with base f 2 f 0 f 2 2 Match the exponential function with one of the graphs labeled I II III or IV shown below a f x 2 c f x 2 III and f 6 2 b f x 2 d f x 2 X X II IV 2 0 HHH DIY spatos 2 X X

Solve the equation for x 6 4 3x 2 O 6 04 O2 B

Find the measure of the arc or angle indicated Find the m JKL O 248 O 65 O 72 O 53 23x 4 M 5 75x

A survey found the distribution of some families by size and is as follows Family Size 2 3 4 5 6 31 16 Frequency 87 50 61 7 3 Find the probability of family with 4 people P 4 8 2

Line I is tangent to circle P Which of the following statements is not necessarily true R O Line I is tangent to circle P at the point of tangency R Line intersects circle P exactly once O Line I is perpendicular to PR SR is the same length as PR O None of the other answers are correct

Find the measure of the arc or angle indicated Angle BST 33 degrees 5 33 T O 114 O 145 O 111 O 106 R B

Solve for x 10 14 12 C 00 X 4

How many arc degrees are in the minor arc b 65 to O 32 5 O 65

Solve for the indicated segment length Assume that lines which appear tangent are tangent 8 5 4 O 7 5 8 6 9 2 10

Which of these arcs has a measure of 134 20 H OFJ O DF O EG 46 F E

Solve for 175 R O 60 degrees O 115 degrees 130 degrees O 230 degrees Q S 55

Solve for x O O 12 O 11 0 3 G 52 23 F H 9x 11 C

The central angle of a circle measures 97 and intercepts a minor arc What is the measure of its major arc 83 97 187 O 263

Find the measure of the line segment indicated Assume that lines which appear tangent are tangent Find FP 10 17 21 O 12 F x 2 18 R 15

Question 12 of 14 Question 12 Determine if the statement is true If a transversal intersects two parc

ion 12 hine if the statement is true or fals sversal intersects two parallel line t Choice v Alternate exterior ar

Severely obese persons BMI 40 have a greatly increased risk of diabetes heart disease and many other ailments that are very expensive to treat The table gives the percent of Americans are severely obese from the year 1990 and projected to 2030 1990 2000 2010 2015 2020 2025 2030 Year Severely Obese 0 8 2 2 4 9 6 4 7 9 9 5 11 1 a Find an exponential function that models the data with x equal to the number of years after 1990 and y equal to the percent Round your numerical values to three decimal places y x Capitalization of variable s is important Check that your upper and lower case match the question b Does the unrounded model overestimate or underestimate the percent of severely obese Americans in 2020 The model overestimates the projected total o The model underestimates the projected total You re right c According to the unrounded model in what year are 8 1 of Americans expected to be severely obese 2022 You re right

6 In the diagram below AB CD AD BC GD bisects LADC GC bisects LDCB and m B 110 Find m GFA 110 B 7 Describe a sequence of transformations to map ABCDE onto A B C D E E C12 11 10 9B 7 6 5 4 3 2 1 D A 11 10 E 2 3 4 5 6 7 8 9 10 11 12

Quadrilateral DEFG is similar to quadrilateral HIJK Find KH Round your answer to the nearest tenth if necessary Figures are not drawn to scale D 13 G 19 F E J 58 K X I H

Quadrilateral DEFG is similar to quadrilateral HIJK Find IJ Round your answer to the nearest tenth if necessary Figures are not drawn to scale H O 34 D 19 E 60 X K

10 What three things should a will accomplish

3 List examples of factors that determine the amount in a defined contribution plan

Quadrilateral IJKL is similar to quadrilateral MNOP Find the measure of side OP Round your answer to the nearest tenth if necessary Figures are not drawn to scale 11 K L 17 H 3 M 7 52 P

12 Solve for x 17x 23 BREKENINGE 81 74

Triangle JKL is similar to triangle MNO Find the measure of side OM Round your answer to the nearest tenth if necessary Figures are not drawn to scale 13 54 M

Triangle MNO is similar to triangle PQR Find the measure of side QR Round your answer to the nearest tenth if necessary 10 N 13 M R Q 40 P

Which statements are true about polygons Select three options Students if you believe you earned partial credit on this problem please reach out to your teacher All sides and all angles in a polygon are congruent The sides of a polygon are segments that intersect exactly two other segments one at each endpoint In a polygon all segments with a common endpoint are collinear If all of the sides of a convex polygon are extended none of them will contain any points that are inside the pol The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygo

An interior angle of a regular polygon has a measure of 135 What type of polygon is it hexagon octagon nonagon decagon

CFA Circles Parts Area Circumference Central Ang QUESTIONS Item 1 Item 2 Item 3 Item 4 7 Sample image ba 3 72 W S

5 Sample image background with overlaid text fields 5 0 P N K L 67 M mKL mLON mOM mKNL mNL

Find the area and circumference of the circle below Please use 3 14 for pi Please round all answers to the nearest hundredth Diameter Area 13 in Circumference in in in