PARCC Geometry Practice Test 1

Question 1

1. Which of the following letters represents the vertex in the following picture?

Accepted Answer

H only

Answer

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?

Accepted Answer

25.13

Answer

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?

Accepted Answer

33 cm^{2<\/sup><\/li>}

Answer

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?

Accepted Answer

270 degrees

Answer

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°?

Accepted Answer

45°

Answer

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 Practice Test

PARCC Practice Test

PARCC Geometry Practice Test 1