WEEK 31-REVIEW-AND-APPLIED-PROBLEMS-ON-GEOMETRY

Review and Applied Problems on Geometry

Objectives

Start

The Building Blocks

Polygons & Conics

Transformations

Practice

The Building Blocks

Definitions

Point

line

Acuteright obtuse

segment

ANGLE

complementarysuplementary vertical

Polygons & Conics

Triangles

Congruence

Similarity

Lines and Segments in a Circle

Tangent

Radius

Secant

Diameter

Chord

Circumference

Inscribed and Circumscribed Circles

Inscribed Circle

Circumscribed Circle

Conic Sections & Equations

Circle

Hyperbola

Ellipse

Parabola

Transformations

Different Types of Coordinate Transformations

Translation

(x + a, y + b)

Other angle: Measure ∡ an rotate object

rotation

x-axis: (x, y) -> (-x, y) y-axis: (x, y) -> (x, -y)

reflection

(kx, ky) k: scale factor

dilation

Practice

1/5

Find the supplement of the angle shown below.

2/5

∆ABC and ∆DEF are similar. Find ∠D and ∠F.

3/5

∆ABC is rotated at some angle respect to point A.

4/5

Find the equation for the circumference shown below.

5/5

Find the coordinates of the middle point between A and B.

Great job!

See you next time

Welcome 6th graders!

A journey soon begin through Social Science experiences!

6TH-INTRODUCTIONTORATIONALNUMBERS-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

MA.912.GR.1 Prove and apply geometric theorems to solve problems. MA.912.GR.1.1 Prove relationships and theorems about lines and angles. Solve mathematical and real- world problems involving postulates, relationships and theorems of lines and angles. MA.912.GR.1.6 Solve mathematical and real-world problems involving congruence or similarity in two- dimensional figures. MA.912.GR.2 Apply properties of transformations to describe congruence or similarity. MA.912.GR.2.5 Given a geometric figure and a sequence of transformations, draw the transformed figure on a coordinate plane. MA.912.GR.3 Use coordinate geometry to solve problems or prove relationships. MA.912.GR.3.3 Use coordinate geometry to solve mathematical and real-world geometric problems involving lines, circles, triangles and quadrilaterals. MA.912.GR.7 Apply geometric and algebraic representations of conic sections. MA.912.GR.7.3 Graph and solve mathematical and real-world problems that are modeled with an equation of a circle. Determine and interpret key features in terms of the context. MA.K12.MTR.7: Apply mathematics to real-world contexts. MA.K12.MTR.7.1 Apply mathematics to real-world contexts.

MATERIAL

It is highly advised to have:

• Grid paper.
• Pencils of different colors.
• Eraser.
• A rule.
• A calculator.
• Geogebra installed on your phone/tablet/computer (or use online version).