What follows is a portion of the Common Core Geometry exam. Other parts will be posted on other days. Illustrations will be added at a later time when they become available.
Part II is posted here.
June 2016 Geometry Regents, Part III
32. A barrel of fuel oil is a right circular cylinder where the inside measurements of the barrel are a diameter of 22.5 inches and a height of 33.5 inches. There are 231 cubic inches in a liquid gallon. Determine and state, to the nearest tenth, the gallons of fuel that are in a barrel of fuel oil.
The Volume of a cylinder is pi*r2*h. So V = pi(11.25)2(33.5) = 13319.9
To convert cubic inches into gallons, divide by 231: 13319.9 / 231 = 57.66...
Answer: 57.7 gallons.
33. Given: Parallelogram ABCD, EFG, and diagonal DFB
Prove: Triangle DEF ~ triangle BGF
You could write a two-column proof or a paragraph proof. For this blog, paragraph is a little easier.
Angle DFE is congruent to Angle BFG because they are vertical angles. AD is parallel to BC because opposite sides of a parallelogram are parallel. BD is a transversal. Angle ADB is congruent to CBD because they are alternate interior angles. Therefore Triangle DEF ~ triangle BGF because of AA (Angle-Angle Theorem).
34. In the diagram below, Triangle A'B'C' is the image of Triangle ABC after a transformation.
Describe the transformation that was performed.
Explain why Triangle A'B'C' ~ Triangle ABC.
The transformation was a Dilation of scale factor 2.5 centered on (0, 0). Point A(-2, 4) -> A'(-5, 10). Point B(-2, -4) -> B'(-5, -10). Point C(4, -4) -> C'(-10,-10).
-5/-2 = 2.5. 10/4 = 2.5. -10/-4 = 2.5. 10/4 = 2.5
Dilations preserve shape so the angles are the same size. Therefor the triangles are similar.
June 2016 Geometry Regents, Part IV
35. Given: Quadrilateral ABCD with diagonals AC and BD that bisect each other, and < = <2
Prove: Triangle ACD is an isosceles triangle and triangle AEB is a right triangle
Make sure you restate the Given information. Make sure that you restate what you want to prove as your final statement. (In this case, you are proving two things, so one of them will be in the middle, right before you start proving the second half.) Do NOT use what you are trying to prove and a reason why something must be true.
| Statement | Reason |
| 1. AC and BD bisect each other. | Given |
| 2. <1 = <2 | Given |
| 2.5 ABCD is a parallelogram | a quadrilateral with diagonals that bisect each other is a parallelogram
(edited to add missing step) |
| 3. AB || CD | Opposite sides of a parallelogram are parallel. |
| 4. Angle DCA = Angle 1 | Alternate interior angles |
| 5. Angle DCA = Angle 2 | Transitive Property of Congruence |
| 6. Triangle ACD is isosceles | If the base angles of a triangle are congruent, then the triangle is Isosceles |
| 7. AD = CD | The sides opposite congruent base angles of an isosceles triangle are congruent |
| 8. ABCD is a rhombus | A parallelogram with consecutive sides congruent is a rhombus |
| 9. Angle AEB is a right angle. | Diagonals of a rhombus are perpendicular. |
| 10. Triangle AEB is a right triangle. | A triangle with a right angles is a right triangle. |
36. A water glass can be modeled by a truncated right cone (a cone which is cut parallel to its base)as shown below.
The diameter of the top of the glass is 3 inches, the diameter at the bottom of the glass is 2 inches,and the height of the glass is 5 inches.
The base with a diameter of 2 inches must be parallel to the base with a diameter of 3 inches inorder to find the height of the cone. Explain why.
Determine and state, in inches, the height of the larger cone.
Determine and state, to the nearest tenth of a cubic inch, the volume of the water glass.
To find the height, you need to have similar triangles. To have similar triangles, the bases must be parallel so that the base angles are congruent.
| The radius of the large circle is 1.5. The radius of the smaller circle is 1. The height to the smaller circle is x. The height to the larger circle is x + 5. Set up a proportion: x / 1 = (x + 5) / 1. 5
1.5x = x + 5
.5x = 5
x = 10
The larger cone is 15 inches. The Volume of a cone = (1/3)(pi)r2h
The Volume of the water glass = (1/3)(pi)r12h1 - (1/3)(pi)r22h2
= (1/3)pi(1.5)2(15) - (1/3)pi(1)2(10)
= 35.343 - 10.472 = 24.871 = 24.9 cubic inches |
FAQs
The Geometry Regents test is not considered difficult to pass, although some of the concepts covered in the exam might be difficult, depending on the student. The difficulty level also depends on the score you are attempting to achieve and your reasons for taking the exam.
How hard is it to pass the Geometry Regents? ›
Students pass Geometry Regents with a 3, 4, or 5, or a scaled score of 65 or higher. Students with test anxiety or students who struggle with the course material are more likely to have a hard time passing the exam.
How many points needed to pass Geometry Regents? ›
This is because receiving a 3, 4, or 5 would mean you've passed the test and can use that Regents math exam score towards your graduation requirements. The New York State Education Department scales the Geometry Regents exam to a 65 being equivalent to a passing score.
What happens if you fail the Geometry Regents but pass the class? ›
Students may earn diploma credit for successfully completing a course but fail to meet the corresponding Regents assessment requirement; or • Students can fail a course and receive no academic credit but fulfill an assessment requirement if they pass a Regents examination in that course.
Is an 86 on Regents good? ›
Based on the January 2020 Algebra 1 Regents exam, students that receive a raw score of between 68 and 86 receive a 5 for their performance level. There are many ways to get to this number. One way would be getting 20 multiple choice questions right, 50% of Part II questions right, and all of Parts III and IV.
Which Regents fail the most? ›
Global History and Geography is the most frequently failed examination. Under the proposal, students would be able to substitute a second Regents Exam in math or science or a vocational exam for this requirement.
Is there a curve for geometry Regents? ›
The Regents curve, infamously known as the Regents grading curve, functions as a shifting grade scale. So what does this mean for you? Regardless of your raw scores on the Geometry exam, the state educators run your scores against this curve to determine your final score from a scale of 0-100.
How many people pass the Geometry Regents? ›
In Geometry, 56% of city students passed the Regents test in 2019, but just 38% passed last school year. The sharp decline is a stark indicator of the ongoing challenges the city faces in helping students recover from the academic impacts of the pandemic.
What is the best score on the Regents exam? ›
What is a “good” grade on the Regents Exams? While a score of 65 is required to pass a Regents Exam, only a score of 85 or above indicates “mastery” of the subject. As a result, some CUNY and SUNY colleges and programs require scores of 85 or above.
What happens if I fail a regent? ›
To pass a Regents Exam you must earn a 65 or higher, though accommodations may be made for certain disabilities. Students who fail an exam may still pass the course, but will need to retake the exam.
The State tests and Regents examinations use a scale of 0 to 100. Raw scores must be converted to the equivalent scale score.
How many questions do you need to get right on the math Regents? ›
Even if you only get three more questions correct, that's six more points, which brings your total to 26 points. Remember, you only need 27 points to pass the exam. So if you get ten questions right, you will not need very many points on long response in order to pass.
Do colleges care about Regents? ›
While Regents exam scores aren't a crucial factor for college admissions, they can still play a role in demonstrating your academic abilities, particularly for in-state colleges within New York.
What is the lowest passing grade for Regents? ›
All students can meet the exam requirements for a local diploma with two appealed Regents exam scores. These scores can be no more than 5 points below passing (60-64). All remaining Regents exams must be passing scores of 65 or better.
What percent of students pass the Geometry Regents? ›
In Geometry, 56% of city students passed the Regents test in 2019, but just 38% passed last school year. The sharp decline is a stark indicator of the ongoing challenges the city faces in helping students recover from the academic impacts of the pandemic.
What math is harder than Geometry? ›
Geometry is simpler than algebra 2. So if you want to look at these three courses in order of difficulty, it would be algebra 1, geometry, then algebra 2.
Is it hard to pass Geometry? ›
Geometry is the study of shapes and angles and can be challenging for many students. Many of the concepts are totally new and this can lead to anxiety about the subject. There are a lot of postulates/theorems, definitions, and symbols to learn before geometry begins to make sense.
