Geometry Questions

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

Jan is constructing an inscribed circle in a triangle What is the center of this circle called orthocenter centroid circumcenter incenter

Which of the following is NOT true of a perpendicular bisector it bisects a segment to construct it we have to draw two arcs using each of the endpoints as centers to construct it we have to draw two arcs using the intersection points as centers it forms a right angle with the segment

the line passeng through your answer Dietermine the slope of the given points worite exact simplified form 212 615 and 7 2 2 5

1 point D C B If the measure of arc AB is 64 degrees what is the measure of angle ADB 128 degrees 32 degrees 90 degrees 64 degrees

1 point A Solve for x x 5 O x 10 x 2 x 4 42 10 E B X D

E 00 11 D 43 45 Is segment CE tangent to circle D Why or why not No this doesn t look like a right triangle Therefore the segment is not tangent by the converse of the Perpendicular Tangent Theorem Yes this looks like a right triangle Therefore the segment is a tangent by the converse of the Perpendicular Tangent Theorem Yes the Pythagorean Theorem holds true so it is a aright angle Therefore the segment is a tangent by the converse of the Perpendicular Tangent T e converse of the Perpendicular Ta No Pythagorean theorem does not hold true so it s not a right angle Therefore the segment is not tangent by t

33 35 24 24 A X 24 8 2 45 y 10 X 34 36 d 60 C 3 Fe Jo a 24

17 1 point Which of the following is NOT used in geometric constructions pencil protractor compass ruler

0 1 point Nate is constructing a tangent line to a circle he drew from a point outside the circle Once he has the circle and the point drawn what is his next step connect the center of the circle to the point outside the circle label the points where the arc intersects the circle construct a perpendicular bisector construct rays from the point through the points of intersection

1 point Which of the following constructions must you know how to do in order to construct a circumscribed circle for a given triangle duplicating a line segment angle bisector inscribed quadrilateral perpendicular bisector

1 point Laurie is constructing an angle bisector She sketched her angle then opened her compass to a radius length less than the length of the rays that make up the angle What should be her next step draw an arc using the vertex as the center draw a ray from the point of intersection to the vertex label the point of intersection of the two arcs mark the points of intersection

b If a 11 solve for b and c b 11 3 c 22 Ob 11 c 11 2 b 11 c 22 b 5 5 c 11

Given any two side lengths in a right triangle what is used to find the third side length sine tangent Pythagorean Theorem cosine

1 point A meteorologist measures the angle of elevation to her weather balloon as 33 degrees A radio signal from the balloon indicates that it is 1601 meters diagonally from her location How high is the weather balloon above the ground Round to the nearest hundredth 1342 71 feet 871 97 feet 1039 70 feet

10 1 point 60 Solve for x 2 2 2 2 3 1 30

Solve for u an 4 O A OB V 30 2 U A u 8 v 6 v 6 B u 4 C u 4 D u 8 v 23 v 2 3

POSSIBLE POINTS each pair of solids determine if their volumes are the same or different If the volumes are different identify the solid with the greatest volume Explai ur reasoning 1 A prism and a pyramid have the same height The pyramid s base has 3 times the area of the prism s base 2 A pyramid and a cylinder have bases with the same area The cylinder s height is 3 times that of the pyramid 3 A cone and a cylinder have the same height The cone s radius is 3 times the length of the cylinder s radius

4 17 mi 16 m 17 m 5 D X 25 4 m 9 6 m 12 m