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NYS Geometry Regents Exam: Questions 6-9 (January 2020)
Welcome back to our series on the NYS Geometry Regents Exam! In this video, we'll be tackling questions 6-9 from the January 2020 exam. These questions cover key concepts and problem-solving strategies that you'll want to be familiar with for your own exam.
Question 6:
**In the diagram below, line segment AB is parallel to line segment CD. If the measure of angle BAC = 110 degrees, what is the measure of angle ACD?**
**Solution:**
Angles BAC and ACD are corresponding angles. Corresponding angles formed by parallel lines are congruent. Therefore, the measure of angle ACD is also 110 degrees.
Question 7:
**In triangle ABC, the measure of angle A is 40 degrees and the measure of angle B is 60 degrees. What is the measure of angle C?**
**Solution:**
The sum of the angles in any triangle is always 180 degrees. Therefore, the measure of angle C is 180 - 40 - 60 = 80 degrees.
Question 8:
**The vertices of triangle ABC are A(1,2), B(3,5), and C(6,2). What is the length of side AB?**
**Solution:**
We can use the distance formula to find the length of AB.
Distance Formula: √((x2 - x1)^2 + (y2 - y1)^2)
AB = √((3 - 1)^2 + (5 - 2)^2) = √(2^2 + 3^2) = √(13)
Question 9:
**A circle has a radius of 10 cm. What is the circumference of the circle?**
**Solution:**
The circumference of a circle is found using the formula: C = 2πr, where r is the radius.
Therefore, the circumference of the circle is C = 2π(10) = 20π cm.
We hope this video has been helpful in understanding these questions from the NYS Geometry Regents Exam. Remember to practice these concepts and problem-solving strategies to prepare for your own exam. Good luck!