Math Problem Statement

answer all

Answer all completion of statements in the provided chapter test image.

Solution

Here are the answers to the completion of statements from the image:

  1. If three sides of one triangle are equal respectively to three sides of another, the triangles are said to be congruent.
  2. Corresponding parts of congruent triangles are equal.
  3. If the median of a triangle is also the altitude, the triangle is isosceles.
  4. In a right triangle, the side opposite the right angle is called the hypotenuse.
  5. The median of a triangle is the line connecting a vertex and the midpoint of the opposite side of the triangle.
  6. The sum of the three angles in any triangle is 180 degrees.
  7. A triangle is isosceles if it has two congruent altitudes.
  8. A regular polygon of three sides is called a/an equilateral triangle.
  9. A regular polygon of four sides is called a/an square.
  10. The sum of the measures of the angles in a quadrilateral is 360 degrees.
  11. A trapezoid is said to be a/an isosceles if two of its angles measure 90°.
  12. The intersection of the angle bisectors of a triangle is called the incenter.
  13. In an isosceles triangle, the centroid is located one-third of its altitude from the base.
  14. In naming of polygons, the word "kai" means and.
  15. A quadrilateral with no parallel sides is called a kite.

Would you like further explanations on any of these concepts?

Here are 5 related questions for practice:

  1. What is the difference between an isosceles and an equilateral triangle?
  2. Can a triangle have more than one right angle? Why or why not?
  3. How do you find the centroid of any triangle, not just an isosceles triangle?
  4. What are the properties of a trapezoid with two right angles?
  5. Can a quadrilateral have more than two sides parallel?

Tip: In a triangle, the centroid divides each median into two segments where the longer segment is twice the length of the shorter one.

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Math Problem Analysis

Mathematical Concepts

Triangle Congruence
Properties of Triangles
Polygon Properties
Quadrilaterals

Formulas

Sum of angles in a triangle = 180°
Sum of angles in a quadrilateral = 360°

Theorems

Congruent Triangles Theorem
Properties of Regular Polygons
Isosceles Triangle Theorem

Suitable Grade Level

Grades 7-9