Geometry Chapter 9 Review Flashcards

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Questions and Answers

What are the properties of a parallelogram?

Opposite sides are congruent (correct)

All angles are right angles

Diagonals bisect each other (correct)

Diagonals form congruent triangles (correct)

Which characteristics are true for rectangles?

Diagonals are perpendicular

Diagonals are congruent (correct)

All angles are right angles (correct)

All sides are congruent

What are the key properties of a rhombus?

Diagonals bisect angles (correct)

Diagonals are congruent

Diagonals are perpendicular (correct)

All sides are congruent (correct)

Which statement is true for trapezoids?

The median is parallel to the bases Signup and view all the answers

Which properties define an isosceles trapezoid?

Both pairs of base angles are congruent Signup and view all the answers

What are the properties of a kite?

Two pairs of adjacent sides are congruent Signup and view all the answers

As you go ______ the quadrilaterals get more specific in properties.

down the Tree Signup and view all the answers

The answer for True/False questions for going down the Tree is False.

True Signup and view all the answers

What are the answers for sometimes, always, never for going down the Tree?

Sometimes or Never Signup and view all the answers

As you go ______ each figure has the properties of the figure above it.

up the Tree Signup and view all the answers

The answer for True/False questions for going up the Tree is True.

True Signup and view all the answers

What are the answers for sometimes, always, never for going up the Tree?

Always Signup and view all the answers

What relationship exists between a square, rectangle, rhombus, parallelogram, and quadrilateral?

All of these shapes share common properties Signup and view all the answers

How is an isosceles trapezoid classified in relation to a trapezoid?

It is a type of trapezoid Signup and view all the answers

What is a kite classified as?

A quadrilateral Signup and view all the answers

Match the following tests with their corresponding figures:

Tests for Parallelograms = 1. Both pairs of opposite sides are parallel Tests for Rhombus = 2. Four congruent sides Tests for Rectangles = 3. Four right angles Tests for Kites = 4. Diagonals are perpendicular Signup and view all the answers

Which of the following statements about trapezoids is correct?

Isosceles trapezoids have congruent base angles Signup and view all the answers

Study Notes

Parallelogram

Opposite sides are both congruent and parallel.
Opposite angles are congruent.
Diagonals bisect each other and form congruent triangles.

Rectangles

All angles measure 90 degrees (right angles).
Diagonals are equal in length (congruent).

Rhombus

All sides are congruent in length.
Diagonals intersect at right angles and bisect opposite angles.

Trapezoid

Contains one pair of parallel sides.
The median is parallel to both bases.

Isosceles Trapezoid

Both pairs of base angles are congruent.
Non-parallel sides (legs) are congruent, and diagonals are equal.

Kite

Diagonals intersect at right angles.
Two pairs of adjacent sides are congruent, but opposite sides are not.

Properties of Quadrilaterals

As one moves down a classification tree, the properties of quadrilaterals become more specific.
True/False questions are often false when going down the tree, while Always is the answer for going up.

Square

A square is classified as both a rectangle and a rhombus, which are types of parallelograms and quadrilaterals.

Tests for Parallelograms

Conditions include opposite sides being parallel and congruent, diagonals bisecting each other, and both pairs of opposite angles being congruent.

Tests for Rhombus

A rhombus can be identified by having four congruent sides, perpendicular diagonals, and diagonals that bisect angles.

Tests for Rectangles

Identified by four right angles and congruent diagonals.

Trapezoid Theorems

Isosceles trapezoids have congruent base angles.
If base angles are congruent, the trapezoid must be isosceles.
Diagonals of an isosceles trapezoid are congruent, and the midsegment is parallel to the bases and averages their lengths.

Tests for Kites

Kites feature perpendicular diagonals and exactly one pair of congruent opposite angles.

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Description

Test your knowledge of geometrical shapes in Chapter 9 with these review flashcards. Focus on key properties of parallelograms, rectangles, and rhombuses. Perfect for students preparing for exams or revisiting essential concepts in geometry.