Lesson Plans SET A for Grades 7-8-Lesson 10 Level 7-8 Supplemental 2D Geometry Homework

Lesson 10 Level 7-8 Supplemental 2D Geometry Homework

Pdf Summary

This document is a set of practice problems for students at levels 7-8 in a Math Kangaroo class, specifically focusing on 2D geometry concepts covered in Lesson 10. The problems are designed to reinforce skills through practical application, using diagrams and calculations based on given figures and numerical properties. <br /><br />1. The first problem involves determining the length of a diagonal segment in a diagram featuring three squares. Each square has sides of length 1 unit, and the solution to this geometry problem is calculated to be 2 units.<br /><br />2. The second problem presents a challenge with a rectangular strip of paper sized 4 by 13. It is folded to form two rectangles with areas P and Q, where P is twice the area of Q. Here, the solution found for the area of P is 24 square units.<br /><br />3. The third task is analytical geometry based, involving rectangle ABCD aligned to the coordinate axes, positioned below the x-axis and to the right of the y-axis. With all coordinate points given as integers, students need to find the point with the maximum value of x-coordinate minus y-coordinate. The answer is point C.<br /><br />4. The fourth problem involves two rectangles, rearranged into a triangle after being cut along dotted lines. The solution yields a specific side of the newly formed triangle, calculated as 26 units.<br /><br />5. The fifth problem describes a large quadrilateral divided into four smaller quadrilaterals, sharing a common vertex K, with area numerals provided for each smaller shape. The task is to determine the area of one shaded quadrilateral, calculated to be 5 units.<br /><br />The provided answers verify the solutions, allowing students to cross-reference their results after working through the problems.

Keywords

Math Kangaroo

2D geometry

practice problems

diagonal segment

rectangular strip

analytical geometry

coordinate axes

triangle formation

quadrilateral areas

Lesson 10