Q3_Reviewer_Math9

• Review key concepts: Ensure a solid understanding of algebraic expressions, equations, and functions.

• Practice problem sets: Focus on various problems to enhance problem-solving skills.

• Group study sessions: Collaborate with peers to discuss challenging topics and share strategies.

Key Topics

• Quadrilaterals

• Parallelograms

• Trapezoids

• Kites

• Ratio and Proportion

• Similar Triangles

• Triangle Similarity

• Pythagorean Theorem

Quadrilateral Questions

Q1: What quadrilateral is always a parallelogram?

A. Kite

B. Rectangle

C. Rhombus

D. Trapezoid

E. Square

Q2: What quadrilateral has diagonals that bisect each other?

A. Kite

B. Rectangle

C. Rhombus

D. Trapezoid

E. Square

Q3: What quadrilateral has diagonals that are perpendicular bisectors of each other?

A. Kite

B. Rectangle

C. Rhombus

D. Trapezoid

E. Square

Q4: What quadrilateral has perpendicular diagonals, with one diagonal bisecting the other?

A. Kite

B. Rectangle

C. Rhombus

D. Trapezoid

E. Square

Q5: What quadrilateral has congruent diagonals?

A. Kite

B. Rectangle

C. Rhombus

D. Trapezoid

E. Square

Q6: What quadrilateral has congruent diagonals that bisect each other?

A. Kite

B. Rectangle

C. Rhombus

D. Trapezoid

E. Square

Midline Theorem Questions

• Q7: What does the Midline Theorem state about the segment connecting the midpoints of two sides of a triangle?

  • It is parallel to the third side and half its length.

• Q8: What does the Midline Theorem state about the segment connecting the midpoints of two non-parallel sides of a trapezoid?

  • It is parallel to the two bases and has a length equal to the average of the lengths of the two bases.

Triangle Similarity Theorems

• SAS Similarity Theorem: Two sides are proportional, and the included angle is congruent.

• Right Triangle Similarity Theorem: All sides are proportional.

Ratios of Triangle Sides

• 45°-45°-90° Triangle Ratio: 1:1:√2

• 30°-60°-90° Triangle Ratio: 1:√3:2