2D Geometry Questions and Answers

The circles are congruent AB 30 in and mAB 80 Find the radii of th circles and CD 92 C B D

Lines X and Y are parallel Compete the proof below to prove the measures of a and e are equal abo ho 80 co d o e fo Measure of a Measure of c Measure of c Measure of e Choose Choose

R Q 47 S P The measure of arc RPO is degrees

Suppose you are given t s in the diagram below You are asked to prove that 1 is congruent to 3 Which reason for statement 2 best completes the two column proof below Statements 1 t s and line r is a transversal crossing s and t 2 1 is congruent to 2 3 2 is congruent to 3 4 1 is congruent to 3 O Corresponding angles postulate O Alternate interior angles theorem O Given information Substitution property of equality 1 Given Reasons 2 3 Vertical angles theorem 4 Transitive property of congruence

If CD is tangent to the circle AB 1 5 and BC 1 what is the length of CD Write your answer as a whole number

Find the Area of the following circle 11 cm 390 cm 2 379 94 cm 2 288 cm 2 22 cm 2

The diagram below shows circle O with radii OA and OB The measure of angle AOB is 120 and the length of a radius is 6 inches A 120 6 B Which expression represents the length of arc AB in inches

P 2b 2c S 0 0 T The coordinates of Q are b c The coordinates of Q are 2a 2b 2c The coordinates of Q are 2a 2b 2c R 2a 0 How the V Q X Select all true statements pertaining to the parallelogram drawn above

3 Find m B B 26 mi A 88 11 mi C

Three interior angles of a quadrilateral measure 55 117 and 120 What is the measure of the fourth interior angle O 68 O 78 889

Which polygon has an interior angle sum of 900

I Find the missing lengths in each Isosceles Right Triangle 3 2 1 4 5 9 A X 17 12 y 12 6 34 8 6 60 10 18 X 45 y II Find the missing lengths in each 30 60 90 triangle 13 14 30 10 9 3 y 10 26 2 8 6 X 60 y 17 y 7 7 18 2 11 X 15 X 19 X 45 2 4 2 y 16 4 3 X y 30 X y 30 4 8 12 8 2 9 3 45 y 16 9 y 20 60 8 3 60 16

Which polygon has an interior angle sum of 1080

D C A EX 108 145 B F What is the measure of angle ACB 0

Which polygon has an interior angle sum of 1260

Four interior angles of a pentagon measure 156 72 98 and 87 What is the measure of the final interior angle 108 O127 O 150 487

Which classifications apply to the polygon Check all that apply O convex concave O regular O hexagon O octagon

Line A is shown on the grid If there was a line that was parallel to the given line and went through the coordinate 1 2 what would the y intercept be 5 4 3 2 5 4 3 2 1 N 3 4 5 2 3 4 5

B The area of rhombus ABCD is 72 square units EC units and DB x 1 What is the value of x 09 O 10 O 14 O 16

5 4 3 2 4 W 5 4 3 2 14 2 3 Y 4 www X W N 6F1 5 X Kite WXYZ is graphed on a coordinate plane What is the approximate perimeter of the kite Round to the nearest tenth O 10 6 units O 11 5 units O 14 0 units O 16 2 units

A greeting card uses a geometric design containing 4 congruent kites The card is 4 inches wide and 8 inches long What is the area of one kite O4 sq in O 8 sq in 12 sq in O 16 sq in

A company designs a logo using a kite figure around letter t The logo is 12 centimeters wide and 16 centimeters ta What is the area of the logo 48 sq cm 96 sq cm 144 sq cm 192 sq cm

A company designs a logo using a kite figure aroun letter t The logo is 12 centimeters wide and 16 centimeters What is the area of the logo 5 O 48 sq cm 96 sq cm O144 sq cm O 192 sq cm

A E LU C B The area of rhombus ABCD is 120 square units AE 12 and BD x 2 What is the value of x and th length of segment BD X BD units

y 2 Swings Sandbox 4 6 Slide Merry go round 8 10 12 14 16 18 20 x A sandbox is shaped like a kite Each unit on the coordinate plane represents one foot A planner woul like to replace the wooden border around the sandbo How many feet of wood does he need Round up to the nearest whole number feet

The coordinates of rhombus ABCD are A 4 2 B 2 6 C 6 8 and D 4 0 What is the area of the rhombus Round to the nearest whole number if necessary O 30 square units O 60 square units O 102 square units O 120 square units

140 S COT 2 2 4 S R 8 10 12 14 16 18 20 x How can you find the perimeter of the rhombus O Find QS RT O Find QT TS O Use the distance formula to find QT then multiply by 4 O Use the distance formula to find QT and QR add the distances then multiply by 4

K 5 ft 10 ft 6 ft M wants to put a 4 foot by 4 foot shed on the land He ca only do this if the height of the trapezoid is at least 4 5 feet What is the height of the trapezoid feet

4 The cube below is being filled with water The cylinder is solid and is unable to be filled with water Determine the volume of water in the cube Round to the nearest tenth K2 4 4

6 Q1 SPIRAL Determine the value of x and y y 23 63 2x 17

1 Determine the volume of the composite figure below 2 cm 3 cm 1 5 cm 2 cm 2 cm 2 cm

YOU DO ROUND 2 3 Everton poured milk into his favorite cylinder bowl after pouring in cereal The base of the bowl had a area of 75cm and the bowl had a height of 10 cm If the bowl was filled with 110 cm of milk what is the volume of the cereal in the bowl

a water what is the volume of water in the figure Round to the nearest whole number The area of the square base is 25 in2 and the height of the figure is 7 in If 25 of the figure is filled with Water is removed from the figure so that it is at a height of 3 in What is the volume of the water in the tank now

2 An ice cream cone has a volume of 17 in What is the combined volume of ice cream inside the cone and the scoop on top given the scoop below 12 cm

More on Coordinate Geometry Question 9 A line segment has an endpoints at 4 25 19 and What is the location of the point that divides the segment in a ratio of 1 4 Select one O 3 7 25 O O O 6 5 7 5 75 11 5 15

Similarity of Transformation Lesson Posttest Question 3 Points 1 Which of the following transformations is a dilation O x y x 4 y O x y x 4 y 4 O x y 4x y O x y 4x 4y

Question 4 Find the vertices of the triangle ABC after dilation with a scale factor of 1 2 and whose center of dilation is at the origin 6 0 8 Y Points 2 2 A 4 6 B C B QA 3 3 B 7 3 C 7 7 O A 3 3 B 3 7 C 7 7 O A 1 5 1 5 B 3 5 1 5 C 3 5 3 5 4 615 15 B G 15 35 C 635 351

7 Find the perimeter of the figure below 8 10 OA 30 OB 66 OC 58 OD 72 15

B C F 70 A 50 D E Both segment BD and segment AC are diameters of circle F Determine the measure of each of the following degrees the measure of angle CFD is the measure of arc AB is the measure of arc AE is the measure of arc ACB is the measure of angle CFE is the measure of arc BC is degrees degrees degrees degrees degrees

5 Find the value of x OC OD 5x K OA 32 OB 14 OC 27 D 54 C A 3x 54 D

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

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

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

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

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

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

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

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