Geometry 10-1 Complete Lesson: Areas of Parallelograms and Triangles

Solve It! A stage is being set up for a concert at the arena. The stage is made up of blocks with tops that are congruent right triangles. The tops of the blocks, when put together, make an 8 ft-by-8 ft square. The band has requested that the stage be arranged to form the shape of an arrow. Draw a diagram that shows how the stage could be laid out in the shape of an arrow with an area of at least 1000 ft² but no more than 1400 ft². (You may use more blocks than shown in the picture.)

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It?

Analysis: ▱ABCD is divided into two triangles along diagonal AC. If you know the area of the parallelogram, how do you find the area of △ABC?

Review Lesson 9-7: Are the figures similar? If so, describe the similarity transformation.

Review Lesson 9-7: Are the figures similar? If so, describe the similarity transformation.

∠APE

∠APN

Review Lesson 10-1: Find the area of the trapezoid by using the formulas for area of a rectangle and area of a triangle. Enter your response in this format: 23.5 square units

Review Lesson 10-1: Find the area of the trapezoid by using the formulas for area of a rectangle and area of a triangle. Enter your response in this format: 23.5 square units

Review Lesson 10-1: Find the area of the trapezoid by using the formulas for area of a rectangle and area of a triangle. Enter your response in this format: 23.5 square units

Enter only a number. Use decimal form if necessary.

Enter only a number. Use decimal form if necessary.

Enter only a number. Use decimal form if necessary.