7.1.2 Review & Preview

What is the relationship between the two triangles at right? Create a proof to justify your conclusion. Homework Help

The area of the trapezoid at right is 56 cm^2. What is h? Show all work. Homework Help

Line L is perpendicular to the line 6x−y=7 and passes through the point (0,6). Line M is parallel to the line y=2/3x−4 and passes through the point (−3,−1). Where do these lines intersect? Explain how you found your solution in Show Your Work. (Hint: Use substitution or elimination.) Homework Help

Use the definition of a cirlce to solve the following.

In the Shape Factory, you created many shapes by rotating triangles about the midpoint of its sides. (Remember that the midpoint is the point exactly halfway between the endpoints of the line segment.) However, what if you rotate a trapezoid instead?

Carefully draw the trapezoid above on graph paper, along with the given midpoints. Then rotate the trapezoid 180° about one of the midpoints and examine the resulting shape formed by both trapezoids (the original and its image). Continue this process with each of the other midpoints, until you discover two shapes that can be formed by a trapezoid and its image when rotated 180° about the midpoint of one of its sides. What are they? Include your sketches in the "Show Your Work" section. Homework Help

Find AB (the length of AB).

Locate the midpoint of AB and label it C. What are the coordinates of C?

Find AC. Can you do this without using the Pythagorean Theorem?