Geometry Questions

1 point Which of the following is NOT a property of all rectangles diagonals bisect the angles diagonals bisect each other diagonals are congruent all angles are right angles

Find the equation of the line perpendicular to y 3x 6 that runs through the point 1 3 y 3x 10 y 3x 8 y 10

Which of these is NOT a method for proving that a quadrilateral is a parallelogram show one pair of opposite sides are parallel AND congruent show both pairs of opposite sides are congruent show that one pair of opposite sides is parallel and the other is not parallel show both pairs of opposite sides are parallel

1 point What is the slope of a line parallel to 3x y 7 3 3 1 3 1 3

1 point A circle has a diameter of 10 centimeters If a sector with a central angle of 50 degrees is cut out what is the area of this sector 5 46 square centimeters 10 91 square centimeters 3 14 square centimeters 43 63 square centimeters

What shape is formed when a plane slices through a sphere at any angle triangle circle rectangle oval

A plane slices through a cone parallel to the base What shape is the cross section circle triangle oval square

I point A triangular pyramid is sliced by a plane parallel to the base What is the shape of the cross section triangle star rectangle square

1 point Arc length is a fraction of a circle s Odiameter area circumference Oaxis

1 point You are pouring juice into a cylindrical cup with a 2 inch radius and height of 8 inches If you want to fill it exactly half full how many cubic inches of juice should you pour in 100 6 cubic inches 25 13 cubic inches 50 3 cubic inches 16 cubic inches J

A plane slices through a rectangular pyramid parallel to the base What is the shape of the cross section circle rectangle 00 square triangle

A circle has a diameter of 10 centimeters If a sector with a central angle of 50 degrees is cut out what is the area of this sector 5 46 square centimeters 10 91 square centimeters 43 63 square centimeters 3 14 square centimeters

Which of the following is NOT an equivalent expression to Area of sector Area of sector TT 360 O Area of sector Area of sector area of circle arc measure 360 20 AT 0 360

Find the length of the arc on a circle with a radius of 7 centimeters and a central angle of 74 degrees 7 centimeters 9 04 centimeters 4 52 centimeters 18 08 centimeters

Sector area is a fraction of a circle s radius arc length area circumference

A hula hoop has a radius of 19 inches What is the length of the arc subtending 1 4 of the hoop 14 9 inches 43 8 inches 29 8 inches 59 7 inches

Which of the following vectors are normal to the surface z 2 2x y at the point 1 1 1 Select one or mo O 4i2j3k O 4i 2j 3k O4i 2j 3k O 4i 2j 3k

10 10 0 10 20 In the hyperbola above the center is 10 The slope of the Asympototes is 4 20

son Posttest Points 1 Find the value of x in the similar right triangles A Question 5 B O 10 O 36 O 12 O 30 45 X CR 15 12 Reset Reset button w comp lent Reset Questions 5 O 7 9

Question 3 Points 2 Find the measure of angle 0 in the given triangle M 25 cm O 33 59 O 44 56 30 cm O 56 24 0 N

Identify the similar right triangles from the given choices O 10 7 07 F R 14 ASA Z 39 12 15 Q X 5 9 5 4A 15 A 3 C 7 8 C 36 P E A A 9 5 11 13 Y D 5 E

Question 7 Find ZDCE given that AB CD B28 O 72 O 28 O 90 Points 1 62 E D

Question 7 The given two right triangles are similar when X A X O 12 O 15 O 36 O 39 C Points 2 39 15 12 BD F 5 13 E

Question 2 Points 3 Which of the following is true about similar right triangles O Corresponding angles are not equal O Corresponding trigonometric ratios are in proportion O Corresponding trigonometric ratios are equal O Corresponding sides are equal

Question 1 Find the measure of the angle 0 in the given right triangle A 20 Points 3 B 40 0 30 O 0 20 8 25 0 45 8 C

Find the vertices and foci of the following ellipse 1 5 Select one O a Vertices 0 3 Foci 0 2 O b Vertices 0 2 Foci 0 3 O c Vertices 3 0 Foci 2 0 O d Vertices 2 0 Foci 3 0

Question 9 Find the measure of MN in the right triangle M O 12 99 cm O 15 cm Points 2 O 7 5 cm O 30 cm 15 cm 30 N

Question 10 Triangles ABC and DEF are similar If B 113 and C 41 find the measure of 2D in the triangle DEF O 26 O 11 O 36 Points 2 O 16

Question 6 Which triangle is not similar to any of the other three triangles 57 83 A OA OB OC Points 2 B 40 57 40 C 83 40 D 67

Question 10 If the given triangles are similar find the missing length T V O 36 O24 O 15 C Points 2 27 45 U X 3 Y 4 N 5

Question 8 If the given triangles are similar then find the missing length A 24 O 14 O 12 34 C Points 2 30 18 BD F 9 15 E

Question 9 The triangles PQR and XYZ are similar What is the length of YZ 8 P 5 O 2 5 4 5 Points 2 O4 9 Y R Z 4 X

Question 4 The given two right triangles are similar when X F 4 B A X O 10 3 CE 08 Points 2 07 05 24 18 30 G

The major axis of the following ellipse x 5 16 y 2 36 axis of length is the and the minor axis is the with length

Question 8 Points 1 Length of a segment XY is 32 m Find the measure of the dilation image for a scale factor of 3 20 m O24 m 25 m 28 m

Find the measure of angle AEC E A O 41 90 49 45 D B 41

Question 4 If a triangle is dilated with a scale factor of k then the measures of the dilated triangle are obtained by multiplying the measures of the original triangle by OK 1 Ok O k 1 Points 1 Ok

Question 3 Points 1 Find the length of the base of the new triangle after reduction by a scale factor of if it originally measures 9 inches O4 inches O3 inches 3 33 inches 2 5 inches

Question 2 Triangles ABC and XYZ are similar In AABC ABC 35 and BCA 80 Find ZXY 80 65 O 115 Points 2 100

Question 1 Points 1 A triangle is dilated with a scale factor of 3 Then the corresponding angles are O congruent O decreased by 3 O increased by 3 O increased by 3 times

Find the equation of the parabola with a focus at 2 1 and a directrix of y 3 7 points

Using the complete the square method find the center and radius of the equation x 2x y 18y 57 Center Radius

Find the vertex of the following parabola x y 10y 26 Select one O a 1 5 O b OC O d 1 5 None of these 1 5

Find the vertex of the given equation of the parabola x 2 8 y 3 Select one O a 2 3 O b 2 3 OC 2 3 O d 2 3

Which of the folllgraph of the equation of the following hyperbola indicating vertices foci and asymp 144 Select one a O b O C O d 0 2 2 0 2 0 2 0 2 2 y x 13 0 2 1 12 0 2 2 0 4 0 4 0 0 2 13 X 0 2 13 12 5 2 6 1 3 2 6 1 2 15 1 12 0 6 4 y x 13 0

The line y mx c intersects the circle x y a a maximum of 2 Select one O a 3 O b 2 O C 1 O d 4 points

Which is the graph of the circle x y 10x 8y 5 0 Select one O a O b 10 10 10 10 20 5 10 10 5 0 20

d 1 7 4 find the absolute value of d and the absolute value of 6d

1 Which inequality is represented by the following graph OC y 3x 2 OA y 3x 1 OD y 2x 1 5 B y 2x 3 O ry 2 3

ollowing function y 1 cotx 4 2 Step 2 of 2 Determine how the general shape of the graph chosen in the previous step would be shifted stretched and reflected for the given function Graph the results on the axes provided Answer 3 Points x Axis Reflection O Reflect graph across x axis Shift Graph Vertically O Down O Up Shift Graph Horizontally Phase Shift O Left O Right O None O None Stretch Compress Graph Vertically O Yes O No Stretch Compress Graph Horizontally Period 3I 27 T 2 I Keypad Keyboard Shortcuts Enable Zoom Pan 2 X 3TT