Geometry Questions

The circle with center B is a dilation of the circle with center A using scale factor 2 Select all true statements a a The circumference of the circle centered at B is greater than the circumference of the circle centered A by a factor of 2 b The ratio is greater than the ratio by a factor of 2 c The value of is greater than the value of a by a factor of 2 d The angle marked a measures radians 6 12 87 e The angle marked measures radians

25 Part 1 of 5 The center of the ellipse is 1 Part 2 of 5 16 The vertices are 2 1 and 8 1 Part 2 5 Part 3 of 5 The endpoints of the minor axis are 00 and 00 olo 8

Solve the following system of equations by graphing y 2x 6 y x 1

1 7A The image shows a circle centered at point O Angle AOB measures 50 degrees What is the measure of angle ACB Explain how you know a 25 degrees b 40 degrees c 50 degrees d 100 degrees B 50

F 1 3 m Find the surface area of each figure 12 in 5m Q 12 in 18 cm 5 cm 12 in ANS ANS 10 m ANS

4 7B A circle has a radius of 20 centimeters and a central angle that measures 216 degrees Find the length of the arc defined by this central angle

3 7A The image shows a quadrilateral inscribed in a circle Select ALL true statements a The arc from B to D passing through C measures 70 degrees b The arc from A to C passing through D measures 200 degrees c Angle BCD measures 140 degrees d The sum of the measures of the arcs from A to C one passing through B and the other passing through D is 360 degrees e Angle CDA measures 80 degrees f Angle CDA measures 100 degrees A D 70 100 B C

2 7A Line BC is tangent to the circle centered at A Find the measure of angle BCA Explain or show your reasoning B 57

Find the area of the shaded sector Round your answer to the nearest tenth 10cm 90 10cm 8

Minor arc KL measures 135 K L Which is the radian measure of central angle KOL O O 3 radians O 3 4 radians O radians 7 8 13 T 5 radians

5 T Consider circle T with radius 24 in and 8 6 4 24 in T T1 radians What is the length of minor arc SV O 20 in O287 in 40 in O 637 in

Arc CD is of the circumference of a circle What is the radian measure of the central angle O O O 2 radians 3 3 T 4 47 3 radians radians O 3T radians TE

Circle O has a circumference of approximately 44 in P What is the approximate length of the diameter d O 7 in O O O 14 in 22 in 44 in

Circle P has a circumference of approximately 75 inches T What is the approximate length of the radius Use 3 14 for T Round to the nearest inch O O 12 inches 24 inches 38 inches 46 inches

n circle O the length of radius OL is 6 cm and the length of arc LM is 6 3 cm The measure of angle MON is 75 6 cm 75 6 3 cm N M Rounded to the nearest tenth of a centimeter what is the length of arc LMN O 7 9 cm O 10 2 cm 12 6 cm O 14 2 cm

Circle O has a circumference of approximately 2507 ft Jud O What is the approximate length of the diameter d 40 ft 80 ft O 125 ft 250 ft

Two circles are shown in the diagram C d 1 C2 d 2r Since all circles are similar a proportion can be set up using the circumference and diameter of each circle Sub the values d 1 C and d 2r into the proportion C C d d Which shows how to correctly solve for C the circumference of any circle with radius r

An arc on a circle measures 295 The measure of the central angle in radians is within which range O 0 to radians Oto radians O to 3 T 2 3 T 2 radians to 2 radians

Factor the following polynomial twice First use a common factor with a positive coefficient and then use a common factor with a negative coefficient 4 3 2x 6x 10x 6 4 Factorization of the polynomial 2x 6x 10x using a common factor with a positive coefficient is Factorization of the polynomial 2x 6x 10x using a common factor with a negative coefficient is

Consider a regular hexagon inscribed in circle C with radius r Regular hexagons have six congruent sides and six congruent angles In the figure angle CAB measures 60 What is mZACB What is the length of segment AB What is the perimeter of the hexagon The perimeter of the hexagon is the circumference of the circle The circumference of the circle is O F 1 A B

2 The equation of circle B is x 8 y 2 16 Determine the coordinates of a Center 8 2 r 16 b Center 8 2 r 4 c Center 8 2 r 16 d Center 8 2 r 4

An arc on a circle measures 250 Within which range is the radian measure of the central angle OO to I radians Oto radians Oto 3 radians 2 O 3T to 2 radians 2

For the function f x 3x 3x 6 find and simplify f x f a x a b f x h f x

In circle C SQ 10 cm S R C 30 P Q Which statements about the circle are correct Check all that apply O Arc PQ is congruent to arc SR The measure of arc QR is 150 The circumference of circle C is 207 cm Arc PS measures about 13 1 cm Arc QS measures about 15 7 cm

Consider circle C below where the central angle is measured in radians R C 5x 6 S 10x What is the length of the radius units

Consider circle O in which are XY measures 16 cm The length of a radius of the circle is 32 cm What is the circumference of the circle units What is the ratio of the arc length to the circumference What is the measure of central angle XOY

circle O central angle AOB measures O A 18 cm EM B radians What is the length of arc AB O 67 cm O 127 cm O 187 cm O 367 cm

Consider circle C with radius 5 cm and a central angle measure of 60 C 60 5 cm S R What fraction of the whole circle is arc RS What is the approximate circumference of the circle cm What is the approximate length of arc RS cm

1 point Let A 6 3 k For A to have 0 as an eigenvalue k must be

Circle O has a circumference of 88 cm T What is the length of the radius of the circle cm

A VT 4 O 16 in B In circle O angle AOB measures What is the length of arc AB in I radiar 4

Arc AB is of the circumference of a circle What is the radian measure of the central angle 3 O radians O2 radians 3 O 3 radians 37 radians

Q Arl T P r O K r r J There are exactly radians in a semicircle There are exactly There are approximately 2 radians is equivalent to radians in a full circle radians in a full circle degrees

In circle U below VT 90 inches N T 104 U V What is the length of arc ZV inches

D A 110 C 36 B Use the drop down menus to complete the statements about the diagram The measure of AB is The measure of ZBOC is The measure of ADC is

The ellipsoid 6x 2 6y 2 z 2 79 intersects the plane y 2 in an ellipse Find parametric equations for the tangent line to this ellipse at the point 3 2 1 Enter your answer as a comma separated list of equations Let x and y be in terms of t

3 State each of the following for the equation y 3 sin 2x zt Amplitude Midline Phase Shift Five key points in one period

Find the area of the parallelogram with vertices P1 P2 P3 and P4 P 7 5 5 P 4 4 8 P3 4 3 6 P4 15 2 9 O A O B 3074 2 3 70 2 OC 3 70 2074

Move AA B C so it is a translation of AABC according to the rule x y x 4 y 6 10 10 A A D 5 B B 5 y 10 5 10 N

Find the length of side L in the figure shown below Perimeter 20 L 5

AA B C is a dilation of AABC with a center of dilation at point D C O 6 3 3 What is the scale factor of this dilation 12 6 B 6 A 744 7 B

Complete the rule that describes the transformation x y Input Output 7 9 10 45 4 4 7 20 3 7 6 35 8 1 11 5 d noir

Quadrilateral Q U A D is a dilation of quadrilateral QU AD with a center of dilation at point P U Q U 12 07 7 1 Q What is the scale factor of this dilation 10 37 6 1 A A 7 1 12 07 D D

Complete the rule that describes the transformation Input Output 7 4 21 0 7 6 21 2 1 5 3 1 8 4 24 8 x y

B C so it is a translation of AABC according to the rule x y x 4 y 4 5 Y B 51 A B x

Move AA B C so it is a transformation of AABC according to the rule x y x y 5 S y B N

Can you develop a strategy to establish the area formula of a circle

The length of a rectangular garden is 3 times the width y The owner increases the width and length of the garden by 2 feet Which expression models the new area of the garden

Find the area of the shaded region 5 49 35 21 3 17 1 3 21 y 49 x 35 91 The total area of the shaded regi Simplify your answer

7 Draw a picture that matches this situation 8 ZREZ