Date: Topic: Rhombi, Rectangles, and Squares (7.2)

Slides:

Advertisements

Similar presentations

Quadrilateral Venn Diagram

Advertisements

Polygons – Parallelograms A polygon with four sides is called a quadrilateral. A special type of quadrilateral is called a parallelogram.

A QUADRALATERAL WITH BOTH PAIRS OF OPPOSITE SIDES PARALLEL

Ch. 6: Parallelograms, Rhombus, and Rectangles Possible or Impossible for the described quadrilateral to be a parallelogram…

Parallelograms have Properties Click to view What is a parallelogram? A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Rhombi & Squares Section 8-5. rhombus – a quadrilateral with 4 congruent sides Since a rhombus is a parallelogram, it has all the properties of a parallelogram.

Rhombuses, Rectangles, and Squares

Special Parallelograms

Geometry 6-4 Properties of Rhombuses, Rectangles, and Squares.

Properties of Quadrilaterals

A D B C Definition: Opposite Sides are parallel.

Quadrilaterals Four sided polygons.

Date: Topic: Properties of Parallelograms (7.1) Warm-up Find x and the missing angle measures The angles of a triangle add up to 180 degrees. 3x + 4x +

Special Quadrilaterals. KITE  Exactly 2 distinct pairs of adjacent congruent sides  Diagonals are perpendicular  Angles a are congruent.

5.4 Quadrilaterals Objectives: Review the properties of quadrilaterals.

What quadrilateral am I?.

Unit 8 Part 2 Properties of Quadrilaterals Squares and Rhombi.

Warm Up:  Solve for x and y in the following parallelogram. What properties of parallelograms did you use when solving?  What is the measure of CD? 

5.5 Properties of Quadrilaterals

Do Now: List all you know about the following parallelograms.

Parallelograms have Properties

QUADRILATERALS.

POLYGONS ( except Triangles)

Rhombus – a quadrilateral with ______ _________ _________ ________

Quadrilaterals.

Unit 6 Quadrilaterals Review Problems

Preview Warm Up California Standards Lesson Presentation.

Objective 6.13 Quadrilaterals Students will describe and identify

I can classify quadrilaterals by their properties.

Special Parallelograms

Classifying Quadrilaterals

Classifying Quadrilaterals

6-4 & 6-5 Rectangles, Rhombi and Squares

Name all the Quads with:

Geometry Name: __________________________

Factor & Solve: x2 + 9x + 14 = 0 x2 + 2x -15 = 0 x2 – 7x + 15 =45

Polygons – Parallelograms

Rectangles, Rhombuses, and Squares

Lesson 6-4: Rhombus & Square

Trapezoid Special Notes!

Special Parallelograms

Lecture 6-4 Rhombi and Squares.

6-5 Conditions for Rhombuses, Rectangles, and Squares

Parallelogram Rectangle Rhombus Square Trapezoid Kite

Module 9, Lessons 9.3 and 9.4 – Rectangles, Rhombuses, Squares

8.4 Properties of Rhombuses, Rectangles, and Squares

8-5: Rhombi and Squares.

Unit 6 Quadrilaterals Section 6.5 Properties of Rhombi and Squares

Lesson 6-4: Rhombus & Square

Unit 6 Quadrilaterals Section 6.1 Properties of Parallelograms

What is a quadrilateral??

Lesson 6-4: Rhombus & Square

Fill in the following table – checking each characteristic that applies to the figures listed across the top; Characteristic Polygon Quadrilateral Parallelogram.

Go over the Test.

Some Special Properties of Parallelograms

Classifying Quadrilaterals

Classifying Quadrilaterals

Unit 6 Quadrilaterals Section 6.3 Properties of Rectangles

Classifying Quadrilaterals

Key Topic: Quadrilaterals

6-4 Squares and Rhombi Objectives:

Go over the Test.

Geometry/Trig Name __________________________

Go over the Test.

Presentation transcript:

Date: Topic: Rhombi, Rectangles, and Squares (7.2) Warm-up: A B 2x + 5 Find x. 2x + 5 2x + 5 + 2x + 5 = 50 4x + 10 = 50 C D -10 -10 4x = 40 4 4 x = 10

Rhombus 10 cm A rhombus is a quadrilateral with two sets of parallel sides and all four congruent sides. 10 cm 10 cm 10 cm Since a rhombus is a special parallelogram, it has all the properties of a parallelogram : - Opposite angles are congruent. - Opposite sides are congruent. - The diagonals bisect each other.

Properties of a Rhombus A Rhombus also has its own unique properties: The diagonals bisect the angles. The diagonals are perpendicular bisectors of each other. Because of this, the diagonals of a rhombus create four congruent right triangles.

Rectangle A rectangle is a parallelogram with four 90 degree angles. 20 cm 5 cm 5 cm 20 cm Since a rectangle is a special parallelogram, it has all the properties of a parallelogram : - Opposite angles are congruent. - Opposite sides are congruent. - The diagonals bisect each other.

Properties of a Rectangle B D C Rectangles also have their own unique properties: - The diagonals of a rectangle are congruent. - The diagonal bisections are congruent.

Square A B A square is a rhombus (4 congruent sides and 2 sets of parallel sides) with four 90 degree angles (like a rectangle). A square is a special type of rectangle, so it also has congruent diagonals. D C Since a square is also a special kind of rhombus, it has all the properties of a rhombus and some of unique ones: - Diagonals bisect the angles (all are congruent). - Diagonals are perpendicular bisectors of each other (all bisected segments are congruent). - Diagonals form four congruent isosceles right triangles.

The diagonals of a rhombus are perpendicular bisectors of each other. Find the missing angle measurements. This shape is a rhombus. 5 4 90° 1 The diagonals of a rhombus are perpendicular bisectors of each other. 2 90° 3 35° 35° The diagonals of a rhombus are angle bisectors.

-125° -125° The angles of a triangle add up to 180 degrees. 5 4 55° 90° 55° -125° -125° 90° 35° 35° The diagonals of a rhombus are angle bisectors.