Test questions for identifying congruent sides in geometric figures

📚 Quick Study Guide

📏 Definition of Congruence: Congruent sides are sides that have the same length. In geometric figures, congruent sides are often marked with the same number of small tick marks. 📐 Triangles:
• 📐 In triangles, if all three sides are congruent, the triangle is equilateral.
• 📏 If two sides are congruent, the triangle is isosceles.
🔷 Quadrilaterals:
• 🔷 In squares and rhombuses, all four sides are congruent.
• 📏 In rectangles and parallelograms, opposite sides are congruent.
📝 Polygons: For any polygon to be regular, all sides must be congruent, and all angles must be congruent. 💡 Identifying Congruent Sides: Look for the matching tick marks on the sides of the figure. The number of tick marks indicates congruence; sides with the same number of tick marks are congruent.

Practice Quiz

1. Which of the following statements accurately describes congruent sides?
   1. Sides that intersect at a right angle.
   2. Sides that have the same length.
   3. Sides that are parallel to each other.
   4. Sides that form a 45-degree angle.
2. In triangle ABC, AB = 5 cm, BC = 5 cm, and CA = 7 cm. Which sides are congruent?
   1. AB and CA
   2. BC and CA
   3. AB and BC
   4. None of the above
3. Which type of quadrilateral always has four congruent sides?
   1. Rectangle
   2. Parallelogram
   3. Rhombus
   4. Trapezoid
4. A regular pentagon has sides of length 8 cm. What can you conclude about the sides?
   1. All sides are different lengths.
   2. All sides are 8 cm long and congruent.
   3. Only two sides are congruent.
   4. The side lengths vary.
5. In a square ABCD, what is the relationship between sides AB and BC?
   1. AB is longer than BC.
   2. AB is shorter than BC.
   3. AB is congruent to BC.
   4. AB is perpendicular to BC, but not congruent.
6. If a triangle has two congruent sides, what type of triangle is it?
   1. Scalene
   2. Equilateral
   3. Isosceles
   4. Right
7. Which of the following figures does NOT necessarily have congruent sides?
   1. Equilateral Triangle
   2. Square
   3. Regular Hexagon
   4. Rectangle