Lesson Plans SET A for Grades 7-8-Lesson 5 Level 7-8 2D Geometry Homework

Lesson 5 Level 7-8 2D Geometry Homework

Pdf Summary

This document contains a set of geometry problems designed for students in Level 7-8, specifically focusing on concepts covered in a Math Kangaroo class. Here’s a summary of the problem set:<br /><br />1. **Rectangle Formation Problem**: The first question involves combining four identical small rectangles to form a larger rectangle. The problem gives the length of the shorter side of this rectangle as 10 cm and asks for the area. The solution is given as 200 cm².<br /><br />2. **Comparing Shaded Areas in Squares**: The second problem presents several images, each with a 1x1 square featuring shaded rhombuses. The task is to determine which image has the greatest shaded area. The answer states that all the shaded areas across different images are the same.<br /><br />3. **Quadrilateral Angle Problem**: The third question discusses quadrilateral ABCD, where certain angles are shown, and the line segment ADBC is given as 2 cm. The problem asks for the length of AB, with the answer provided as 2 cm.<br /><br />4. **Triangle Area Problem**: In this task, the problem involves a figure with triangles, asking for a missing length and the area of PQR in terms of a given area, A, of triangle PST. The solution explains that the length is 3, and the area of triangle PQR is \(\frac{16}{9}\)A, using the property that the ratio of the areas of similar triangles is the square of the ratio of their sides.<br /><br />5. **Shaded Fraction in a Square**: The last question involves a square ABCD with points P, Q, and R being midpoints of sides BC, CD, and DA, respectively. The task is to find the fraction of the square that is shaded. The answer is given as \(\frac{3}{8}\).<br /><br />The document provides both the problems and their respective answers.

Keywords

geometry problems

Level 7-8

Math Kangaroo

rectangle formation

shaded areas

quadrilateral angles

triangle area

similar triangles

shaded fraction

midpoints