Math Problem Statement

UTS geometri BD R 2023 (1).pdf

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Solution

It looks like you've uploaded a document related to a geometry exam (Geometri Bidang dan Ruang) with various problems. Would you like me to assist you with solving any of the problems mentioned in the document? Here's a quick summary of the problems in the document:

  1. Problem 1: Involves a rectangle ABCD with a diagonal AC divided into 5 equal parts by points P, Q, R, and S, asking for the area of the shaded region.
  2. Problem 2: Prove that a rhombus is a parallelogram.
  3. Problem 3: Investigate if certain properties (possibly denoted as ss ss sd) represent congruence properties, providing justification.
  4. Problem 4: Prove that the sides opposite the larger angle of a triangle are longer.
  5. Problem 5: Given that points E and F are the midpoints of sides AD and BC of a trapezoid ABCD, prove that quadrilateral ABEF is also a trapezoid, and show that EF = 1/2 (AB + CD).

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Rectangles
Properties of Rhombuses
Congruence
Properties of Triangles
Trapezoids

Formulas

Area of Rectangle = Length × Width
Properties of Rhombus
Congruence Postulates
Triangle Side Properties
Trapezoid Midline Theorem

Theorems

Diagonal Division in Rectangles
Rhombus Properties
Congruence Theorems (SSS, SAS, ASA)
Triangle Inequality Theorem
Trapezoid Midline Theorem

Suitable Grade Level

Grades 9-12