Geometry/Trig Name __________________________

Slides:

Advertisements

Similar presentations

Theorems are statements that can be proved Theorem 2.1 Properties of Segment Congruence ReflexiveAB ≌ AB All shapes are ≌ to them self Symmetric If AB.

Advertisements

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem. Which of the following statements.

Inequalities in One Triangle

Verifying Segment Relations

Proving Segment Relationships Postulate The Ruler Postulate The points on any line or line segment can be paired with real numbers so that, given.

5.2 Use Perpendicular Bisectors

Proof of Theorem 4.8 – The Base Angles Theorem Given: WX  WY ZW bisects XY Prove:  X   Y StatementsReasons S WX  WY Given.

Introducing Vectors © T Madas.

Bellwork….. The given figure is a parallelogram. Solve for the missing variable (4c + 5)º (2c +19)° Hint: Alternate interior angles of parallel line cut.

Objective: Prove quadrilateral conjectures by using triangle congruence postulates and theorems Warm-Up: How are the quadrilaterals in each pair alike?

MIDPOINTS Section 1.5b. Warm Up: 1.Solve: 2(3x-2) = 5x Solve: 3x + 10 = 12x – 170.

Which point on the graph satisfies the conditions x 1.5 ? a.Point P b.Point Q c.Point R d.Point S R(4,5) Q(2,4) P(1,1) S(5,3) 4.1 warm-up.

YES NO--- not right angles Determine whether PQRS is a rectangle.

4.5 - Isosceles and Equilateral Triangles. Isosceles Triangles The congruent sides of an isosceles triangles are called it legs. The third side is the.

Lesson 4.1 Classifying Triangles Today, you will learn to… * classify triangles by their sides and angles * find measures in triangles.

Unit 2 Part 2 Statement and Reason Proofs. Two Column Proof  Statement | Reason  1 st Statement | Reason  2 nd Statement | Reason  etc…

6-2 Parallelograms You classified polygons with four sides as quadrilaterals. Recognize and apply properties of the sides and angles of parallelograms.

2-2 Properties from Algebra

5.3 Theorems Involving Parallel Lines

Using Coordinate Geometry to Prove Parallelograms

I can recognize and apply properties of sides and angles of parallelograms I can recognize and apply properties of the diagonals of a parallelogram Lesson.

Math Section 4.4 Equidistance Theorems By: Dan Schlosser and Brad Wagner.

The Midsegment Theorem

7-4: Parallel Lines and Proportional Parts Expectation: G1.1.2: Solve multi-step problems and construct proofs involving corresponding angles, alternate.

EXAMPLE 3 Use the Hypotenuse-Leg Congruence Theorem Write a proof.

BELLRINGER A B C D m ADC = 64 m ADB = 3x - 2 m BDC = 4x + 3 Find m ADB =_________Find m BDC = _________ X Y Z XZ = 57 inches XY = 3x + 9 YZ = 2x - 7 Find.

Chapter 5: Properties of Triangles Geometry Fall 2008.

EXAMPLE 1 Use the Perpendicular Bisector Theorem AD = CD Perpendicular Bisector Theorem 3x x =5x = Substitute. 7 x = Solve for x. BD is the perpendicular.

Do Now: 1. Name how the two triangles are congruent in the rectangle below: 2. Find the measure of an exterior angle in a pentagon: Homework: Packet page.

FINAL EXAM REVIEW Chapter 5 Key Concepts Chapter 5 Vocabulary parallelogram ► opposite sides ► opposite angles ► diagonals rectanglerhombussquaretrapezoid.

Section V - Proofs StatementsReasons J GK I H 1. Given: GK bisects  JGI; m  3 = m  2 Prove: GK // HI Given Given Geometry/Trig.

南亚和印度.

Holt Geometry 5-1 The Triangle Midsegment Theorem 5-1 The Triangle Midsegment Theorem Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Proving Statements about Segments

EXAMPLE 3 Use the Hypotenuse-Leg Congruence Theorem Write a proof.

definition of a midpoint

Using Segment and Angle Addition Postulates

Sect. 2.5 Proving Statements about Segments.

5-4 The Triangle Midsegment Theorem Section 5.4 Holt McDougal Geometry

Geometry/Trig 2 Name __________________________

Sect. 5.4 Midsegment Theorem

Geometry 5-4 Midsegments

5-4 The Triangle midsegment theorem

1. Solve 3x = 8x – 15. ANSWER 3 2. Solve 6x + 3 = 8x – 14. ANSWER 8.5.

Using Coordinate Geometry to Prove Parallelograms

Geometry/Trig 2 Name: __________________________

Theorems Involving Parallel Lines and Triangles

EXAMPLE 3 Use the Hypotenuse-Leg Congruence Theorem Write a proof.

Using Coordinate Geometry to Prove Parallelograms

Length of a Segment Let A and B be points on a number line, with coordinates a and b. Then the measure of segment AB is.

Section 1.5b Midpoints.

Proving Triangles are Congruent

Recapping: Vector addition.

5.1 Midsegments of Triangles

Warm-Up Find the value of x: 30° 40° x° x° 35° 25° 74° 44° x°

Section 1.5b Midpoints.

Geometry/Trig Name: __________________________

Geometry/Trig Name: __________________________

Geometry Agenda 1. ENTRANCE 2. go over practice

Factoring Polynomials

By Angle Measures By Side Lengths

Warm Up Find the value of m undefined.

I can recognize and apply properties of sides and angles of parallelograms I can recognize and apply properties of the diagonals of a parallelogram Lesson.

Square of a Trinomial By: Mr.Jay Mar Bolajo.

5.1 Midsegments of Triangles

4.1 Detours and Midpoints Objectives: To use detours in proofs and to apply the midpoint formula.

Verifying Segment Relationships

Geometry/Trig Name: _________________________

Presentation transcript:

Geometry/Trig Name __________________________ 5-3 Homework Date ___________________________ Classify each statement as true or false. A P Q N C Y F _______ If Y is the midpoint of FN, then CY || AN. _______ CY = AN. _______ If CY || AN, then Y is the midpoint of FN. _______ If CY || AN, then CP = YQ. M is the midpoint of AB and N is the midpoint of CB. Find x and y. B A 5. 6. 3y – 8 12 5x + 5 N x + 5 M M 2(y + 1) 15 3y + 3 3x – 10 C A C N B x = ______ y = ______ x = ______ y = ______ M is the midpoint of XZ, N is the midpoint of ZY and P is the midpoint of XY. Find the missing value. If XY = 30, then MN = ______. If MP = 13.5, then YZ = ______. If MZ = 6, then NP = ______. 10. If YZ = 4a, then MP = ______. If mYNP = 84˚, then mZ = ______. If mZMN = 70˚ and mZNM = 55˚, then mX = ______. 13. If the perimeter of ΔMNP = 36, then the perimeter of ΔXYZ = ______. X M N Y Z P

Geometry/Trig 5-3 Homework Page 2 AW, BX, CY, and DZ are parallel and WX  XY  YZ. If AD = 21, then CD = ______. If BD = 32, then BC = ______. If WX = 8x + 4 and YZ = 12x – 8, then x = _____ . If AC = 5x – 8 and AB = x + 5, then x = _____. 18. If WY = 4x + 33 and XZ = 6x – 13, then x = _____. 19. If BC = 7x and AD = 9x + 24, then x = _____. W C D B A X Y Z 20) Given: PART is a parallelogram Prove: ΔRTP  ΔPAR R A P T Statements Reasons