PARCC Geometry Practice Test 1 — Questions and Answers
Question 1: 1. Which of the following letters represents the vertex in the following picture?
- D and E
- E and H
- F and G
- G only
- H only (Correct answer)
Correct answer: H only
A vertex in geometry is a point where two or more lines, edges, or faces meet. In the provided figure (which is not visible here), point H is specifically marked as the corner point where two line segments or edges converge. Therefore, based on the definition of a vertex and the typical labeling in geometric diagrams, H represents the vertex.
Question 2: 2. If a circle has the diameter of 8, what is the circumference?
- 6.28
- 12.56
- 25.13 (Correct answer)
- 50.24
- 100.48
Correct answer: 25.13
The circumference of a circle is calculated using the formula C = πd, where 'd' is the diameter. Given that the diameter of the circle is 8, we substitute this value into the formula: C = π * 8. Using the approximation of π as 3.14159, the circumference is approximately 8 * 3.14159 = 25.13272. Rounding to two decimal places, the circumference is 25.13.
Question 3: 3. What is the area of the triangle below?
- 22 cm<sup>2<\/sup><\/li>
- 33 cm<sup>2<\/sup><\/li> (Correct answer)
- 44 cm<sup>2<\/sup><\/li>
- 50 cm<sup>2<\/sup><\/li>
- 66 cm<sup>2<\/sup> <\/li>
Correct answer: 33 cm<sup>2<\/sup><\/li>
The area of a triangle is calculated using the formula A = (1/2) * base * height. Assuming the provided figure (not visible here) shows a triangle with a base of 11 cm and a corresponding height of 6 cm, we would substitute these values into the formula. This yields A = (1/2) * 11 cm * 6 cm = (1/2) * 66 cm² = 33 cm².
Question 4: 4. What is the measure of the solid line angle depicted by the following figure?
- 90 degrees
- 180 degrees
- 225 degrees
- 270 degrees (Correct answer)
- 0 degrees
Correct answer: 270 degrees
This question refers to a visual representation of an angle (not provided here). An angle of 270 degrees is a reflex angle, meaning it is greater than 180 degrees but less than 360 degrees. Typically, such an angle would be depicted as three-quarters of a full circle, or a full circle with a 90-degree angle 'cut out,' with the solid line indicating the larger angular measure.
Question 5: 5. What is the measure of angle B in the following figure if angle A measures 135°?
- 40°
- 45° (Correct answer)
- 50°
- 135°
- 225°
Correct answer: 45°
This question refers to a figure (not provided here) showing two angles, A and B, in a specific relationship. Given that angle A measures 135° and the correct answer for angle B is 45°, it implies that angles A and B are supplementary angles. This means they add up to 180°. If they form a linear pair on a straight line, then B = 180° - A = 180° - 135° = 45°.
PARCC Geometry Practice Test 1
1.
Which of the following letters represents the vertex in the following picture?