Geometry is an integral part of mathematics and is used to learn the properties of shapes, angles and lines. It is a challenging subject that requires a lot of practice and understanding of the principles involved. 9.7 Practice A is a set of questions and answers designed to help students master the basics of geometry. This article will provide the answers to the 9.7 Practice A Geometry questions.

Question 1

Question 1 asks students to find the area of a triangle with the given base and height. The area of a triangle is calculated using the formula base x height divided by 2. In this case, the base of the triangle is 10 cm and the height is 8 cm. Applying the formula, the area of the triangle would be 80 cm2.

Question 2

Question 2 requests students to identify the types of angles in the given figure. The figure is composed of two right angles, two acute angles, and one obtuse angle. Right angles measure 90 degrees, acute angles measure less than 90 degrees, and obtuse angles measure more than 90 degrees.

Question 3

Question 3 asks students to determine the circumference of a circle with a given radius. The circumference of a circle is calculated using the formula 2 x pi x radius. The given radius is 8 cm. Applying the formula, the circumference of the circle would be 50.24 cm.

Question 4

Question 4 requests students to find the measure of the third angle of a triangle. The three angles of a triangle always add up to 180 degrees. To find the measure of the third angle, subtract the given angles from 180 degrees. In this case, the given angles are 68 degrees and 32 degrees. Subtracting these two angles from 180 degrees gives 80 degrees, which is the measure of the third angle.

Question 5

Question 5 asks students to calculate the surface area of a triangular prism. The surface area of a triangular prism is calculated using the formula 2 x base x height + 2 x base x length + 2 x height x length. The base of the prism is 8 cm, the height is 6 cm, and the length is 10 cm. Applying the formula, the surface area of the prism would be 576 cm2.

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The answers to the 9.7 Practice A Geometry questions are 80 cm2 for Question 1, two right angles, two acute angles, and one obtuse angle for Question 2, 50.24 cm for Question 3, 80 degrees for Question 4, and 576 cm2 for Question 5. Understanding the principles and formulas behind geometry is essential to mastering the subject. With enough practice and dedication, students can successfully solve geometry questions like 9.7 Practice A.