TODAY IN GEOMETRY…

STATs for CH. 4 Quiz

Learning Goal: 4.4 You will use postulates Side-Angle-Side and Hypotenuse-Leg to prove triangles are congruent

Independent practice

HOW DID YOU “SHAPE” UP??Results for ALL of my Geometry classes:

GRADE NUMBER OF STUDENTS WHO TOOK THE CH.4 QUIZ (15pts)

3RD PERIOD 4TH PERIOD 5TH PERIOD TOTAL

A/A- 10 9 11 30

B+/B/B- 6 10 9 25C+/C/C- 6 5 1 12

D+/D 5 2 5 12

F 1 3 5 9Average 12.25 11.52 11.68 11.82

WARM UP:Given: Prove:

STATEMENT REASON1.

1. Given

2. 2. Definition of bisector

3. 3. Reflexive Property

𝐶

𝐸

𝐷

S

S

S

𝐹

3. 3. SSS

SIDE ANGLE SIDE (SAS) POSTULATE: If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.B

A C F

E

DCongruent Statements:

S

A

S

△ 𝐴𝐵𝐶≅△𝐷𝐸𝐹

To use SAS the angle must be in between the two sides.

A

B

C D

E

F

The angle between :

The angle between :

Given:

Prove:

STATEMENT REASON1. 1. Given

3. 3. Reflexive Property

2.

𝐵

𝐶

𝐴

𝐷

𝐴𝐵≅𝐶𝐷2. Alternate Interior Angles

𝑆

𝑆𝐴

4. 4. SAS

Given:

Prove:

STATEMENT REASON1. 1. Given

2. 2. Definition of Midpoint

4. Definition of Midpoint

3.

𝐶

𝐷1 2

𝐴

𝐵𝐸

4.

3. Vertical Angles

𝑆𝐴𝑆

5. 5. SAS

Congruent Statements:

△ 𝐴𝐵𝐶≅△𝐷𝐸𝐹

A

B

C D

E

F

H

L

HYPOTENUSE-LEG(HL) POSTULATE: If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of a second right triangle, then the two triangles are congruent.

leg leg

leg leg

hypotenusehypotenuse

𝑍

Given: Prove:

STATEMENT REASON1.

1. Given

2. 2. Reflexive Property

3. 3. HL

𝑊

𝑌

𝑋

𝐻

𝐿

𝐷

Given: Prove:

STATEMENT REASON1.

1. Given

2. 2. Reflexive Property

3. 3. HL

𝐴

𝐶

𝐵

𝐻

𝐿

HOMEWORK #5:

Pg. 243: 3-15, 20-22, 25-27, 35, 37-38

If finished, work on other assignments:

HW #1: 221: 1-26, 32, 35-37HW #2: Advanced Angles WSHW #3: Pg. 228: 3-10, 15-16, 19-21 Pg. 231: 33-40HW #4: Pg. 236: 5, 7, 9-12, 24, 26 (Graph paper needed)