Geometry Questions

Use the figure on the right to find the length of DC 10 D E B

9 Find the value of x P R OA 8 OB 4 OC 44 OD 20 3x 6 X 10 W

The prism below is made of cubes which measure of a centimeter on one side What is the volume OA 27 cubic cm OB 7 cubic cm OC cubic cm D cubic cm Note Figure is not drawn to scale

17 Find the value of x 17 A 13 99 O A O B 09 R D 65 M B 10 D 12

Question 9 What criterion is used here to prove that the two triangles ABC and ADE are similar BC is given to be parallel to DE A D B O AA O SAS Points 3 O ASA C E

Find the area of the sector 270 7 in 15 61

Points 2 Determine the scale factor from the given vertices A 2 4 A 1 2 B 8 8 B 4 4 C 12 0 C 6 0 Question 1 O O 1 3 2 3 01 1 12 3 Complete Later Complete

Find the area of quadrilateral DEFG D E G 8 cm 16 cm 18 cm 10 cm F los

10 5 10 5 0 5 5 To map circle G to circle Q we could translate circle G by dilate the result about point Q by a scale factor of and then

11 Find the value of x OA 23 OB 17 OC 11 OD 19 3x 14 5x 8

3 Find the value of x A E OA 21 OB 7 OC 5 OD 15 105 797 5x B D

What is the missing length 38 mi p P area 1520 mi miles

6 Find the value of x OA 127 OB 254 OC 53 OD 74 106 M to

2 In OY the radius is 10 AB 50 and arc ACB 120 Find AD OA 60 OB 16 OC 25 OD 44

A 58 B The measure of arc BC is C D E In the figure segment AB and segment AC are tangent to circle D Determine the measure of arc BC degrees

10 PQ is tangent to circle O Find the value of x 0 OA 15 OB 13 O C 12 OD 20 5 P x PROPE 12 Q

H K J We are given that the measure of angle H is 13x 8 degrees and the measure of angle J 16x 2 degrees Determine the measure of arc KHI The measure of arc KHI is degrees

20 Find the measure of arc AB AB 5x 9 BC 16x 18 A C B

X Z Y We are given the following information In circle Z segment XY is tangent to circle Z at point X XY 9 6 and WY 16 Determine the length of a radius of the circle The length of radius of the circle is

Write an explicit formula for the sequence using the first five points shown on the graph an an 13 11 9 7 5 3 1 1 5 1 2 7 2 3 9 3 5 13 4 11 4 5 6 7 n

9 Arc AD 136 and Arc BC 50 Find as many angles as possible

Find the area of trapezoid STUV Round your answer to the nearest tenth if necessary V 10 in U 18 2 in 18 in 21 5 in 2 24 in inches Submit Answer

for each of the following determine if the triangles are congruent if so write the congruent statement give the reason and find x or x and y C A 2Y Y 2X 1 D 5y 3x 1 3y 2x 1 C

Question 7 The triangle ABC is compressed by a scale factor 0 5 and enlarged by a scale factor of 2 Find the coordinates of the dilated triangle ABC 8 7 6 5 4 3 Points 2 Y A 2 3 B 4 5 O A 2 2 B 4 7 C 7 7 6 A 1 1 B 2 3 5 C 3 5 3 5 A 1 1 B 2 3 C 4 4 A 2 2 B 4 7 C 7 7 7 8 9

Question 6 A triangle ABC is dilated about the origin The dilated triangle A B C is shown below Find the scale factor k C 0 8 A 8 8 Points 2 A 4 4 k 1 2 Ok 1 Ok 2 0 4 B 4 4 B 8 8

esson Posttest Question 2 Points 3 A triangle with vertices 1 1 2 5 and 5 3 is dilated by a scale factor of 3 about the origin Find the new coordinates of the vertices of the triangle O 2 2 4 10 and 10 6 O 3 3 6 15 and 15 9 O 2 2 4 10 and 10 6 O 3 3 6 15 and 15 9

Osimilarity Grade Results E A transformation that enlarges or reduces a figure is called O dilation O scale factor My Activities O congruent Tell me what you wal

Sson Posttest Question 10 Points 1 The ratio of the side lengths of the corresponding sides of the image to the original figure is called O scale factor O similarity O dilation O congruent

son Question 1 Determine the scale factor from the following similar figure 60 cm 6 cm 3 cm Original 10 Points 3 12 O 14 New Reset Reset button com ssment Reset 30 cm Questions 3 5 7 9

esson Posttest Question 5 Find the scale factor from the following similar figures 24 cm 8 cm 02 O 3 Points 3 04 12 cm Original New 16 cm

Lesson Posttest Question 10 The vertices of a square are A 1 1 B 1 8 C 8 8 and D 8 1 and it is dilated with the center of dilation at the origin and a scale factor of 2 Find the coordinates of B Points 1 O 0 5 4 O 2 16 O 16 2 O 4 0 5

Question 5 Find the coordinates of D if the given polygon is dilated by a scale factor of 4 AY 10 5 Points 1 0 O 40 24 40 24 40 8 40 91 A B 10 5 C D 10 X 15

Question 4 Points 2 Find the dilated vertices from the given vertices whose scale factor is A 0 0 B 3 3 C 6 3 D 6 3 and E 3 3 A 0 0 B 1 1 C 6 3 D 2 1 and E 1 1 O A 0 0 B 1 1 C 2 1 D 2 1 and E 1 1 O A 0 0 B 1 1 C 2 1 D 2 1 and E 1 1 O A 1 1 B 0 0 C 2 1 D 2 1 and E 1 1

Question 3 Which of the following best describes the dilation i 3 i Points 1 ii

Question 9 Points 2 Which of the following shows the dilation of A 1 6 with a scale factor of 4 O 24 4 O 4 24 O 4 4 O 4 24

Question 8 Find the coordinates of B if the triangle is dilated by a scale factor of 5 about the origin Y 10 58 Points 1 0 A O 0 25 O 0 25 O 0 25 C 10 X 15

Question 10 Find the measure of DC in the parallelogram ABCD D C 11 cm A O 44 cm 23 cm O 12 cm Points 1 11 cm 23 cm B

Find the least squares approximating parabola for the given points 1 1 2 3 3 6 4 8 y x

ot five points on the graph of the function one point with x 0 two points with negative x values and two points wit ositive x values Then click on the graph a function button 14 12 10 124 10 12 G

Question 5 Points 2 The construction of parallel lines using a point and a line makes use of the property O Parallel lines do not intersect 11 O Many transversals can be drawn through a set of parallel lines O Transversals do not intersect A transversal makes equal angles of inclination with the parallel lines

Question 3 Points 2 A is the vertex and AC and AB are rays The step Place the pointed end of the compass on A and draw an arc between AC and AB occurs in the construction of a an O angle bisector O perpendicular bisector O tangent to a circle O circle through three given points

Question 4 Points 2 What is the fourth step in construction of perpendicular bisector of the line segment AB Draw a line segment using the ruler Label it AB Draw a line from X to Y The line XY is the perpendicular bisector of the line segment AB Without changing the compass setting place the pointed end of the compass on B Draw arcs above and below the line segment to cut the first two arcs Mark the points where these arcs meet Call them X and Y Place the pointed end of the compass on A and draw arcs above and below the line segment

Question In a parallelogram PQRS the measure of angle Q 155 What is the measure of angle S O 25 O 45 O 145 Points 1 O 155

Question 9 In the given parallelogram find the value of x and y 2 Points 3 6 2x y 3y 2x Ox 1 5 and y 1 5 O x 1 5 and y 1 O x 1 and y 1 5 O x 1 and y 1

Question 5 In the parallelogram ABCD LB 132 find C C A O 78 O 48 O 42 Points 1 18 B D

Question 8 Find the measure of ON in the parallelogram LMNO 24 cm L O 40 cm O 24 cm Points 1 O 16 cm ff 40 cm M N

Question 6 If the measure of 21 is 100 find the measure of 2 4 1 80 O 85 O 90 Points 1 O 100 3 2

Lesson Posttest Question 3 Points 2 In the parallelogram ABCD AO x 48 and OC 2x 24 Find the lengths of AO and OC D A AO OC 72 cm O AO OC 12 cm O AO OC 48 cm AO OC 60 cm B

Question 1 The following figure represents the construction of A Points 2 C O congruent lines congruent rays B O congruent segments congruent angles D

Question 4 In the parallelogram PQRS the length of side PQ 20 cm and QR 13 cm What is the length of the side RS O 13 cm Points 3 O 20 cm O 33 cm O 35 cm