Geometry Questions

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

If mCW 180 and m Q 58 find mSJ S W Q

What is the value of x G X X 82 X 37 X 43 E F F

Write the equation in standard form for the ellipse with vertices 0 12 and 0 12 and covertices 3 0 and 3 0

4 Jack is planting a triangular rose garden The lengths of the sides of the plot are 6 feet 7 5 feet and 10 feet Find the area of the garden to the nearest tenth of a square foot out

Question 4 10 8 6 4 a 20 v y b 2 15 10 I M 3 10 15 20 NT dapat X Identify a and b for the hyperbola with equation 6 8 1 a 62 1

A polar equation is given r 10 3 2 cos 0 a Find the eccentricity Use this information to determine the type of the conic section b Find the equation of the directrix c Sketch the curve Show the exact rectangular coordinates of the vertices and the y interrents Showt

1 Points A and B are on opposite sides of the Grand Canyon Point C is 200 yards from Point A on the same side of the canyon Angle B measures 87 and angle C measures 67 What are the distances between the points

find sin2x cos2x and tan2x if sinx 4 5 and x terminates in quadrant IV

function is defined for all real numbers as follows 10 x if 4 x 4 x 10 if x24 1 x Graph the function Then determine whether or not the function is continuous 12 10 13 10 6 8 10 V X

Given LV and KV are tangents of circle D find coordinate of point V L 3 6 D 9 2 K 1 4

Perform the indicated operation 3 cos 190 i sin 190 8 cos 229 i sin 229 Give your answer in polar form cos i sin

For problems 1 4 use the diagram below A O 60 7 B Find the area of OO Round your answer to the nearest tent

Find the area of the shaded segment Round your answer to the nearest tenth 3

What is the surface area of this rectangula pyramid 4 mm 7 mm 4 mm

Find the surface area and volume of the following solids Rour 1 5 cm

7 AHGFALKJ 18 F 36 24 H 8 G S 70 55 132 E 60 R F 144

Triangle Similarity Find the missing length The triangles in each pair are similar 1 ASTU ALKJ 2 S H 24 D L 3 ATSR ATGH C 45 G 27 5 ARQP ACDE K T Q 56 E ZV 59 42 U P 59 98 110 4 AWVU AWCD 168 A A 8 T 16 140 60 R T U E 15 30 6 AUTS AABC B 41 U T 41 110 20 F 10 D A S V C

3 SAT Question The equation below defines a circle in the xy plane What are the coordinates of the center of the circle a 20 16 b 10 8 c 10 8 d 20 16 x 20x y 16y 20