Joshua Gullett

Northwestern State University of Louisiana
Teacher

Biography

I am a high school Math teacher from Louisiana. I currently teacher Geometry and Algebra.

Education

MA Teaching
Northwestern State University of Louisiana
BA General Studies
Louisiana State University at Alexandria

Educator Statistics

Numerade tutor for 6 years
66 Students Helped

Topics Covered

Discover the Properties of Congruent Triangles | Exploring Geometry
Exploring Relationships Within Triangles
The Power of Algebraic Language: Unlocking Mathematical Potential
Mastering Equations and Inequalities: Your Guide to Mathematical Success
Solving Systems of Equations and Inequalities: A Comprehensive Guide
Master Geometry Basics for a Strong Foundation
Unlocking the Power of Geometric Proof: A Comprehensive Guide

Joshua's Textbook Answer Videos

01:35
Geometry

Draw a large acute scalene triangle. Then draw the perpendicular bisectors of its three sides.

Chapter 4: Congruent Triangle
Section 7: Medians, Altitudes, and Perpendicular Bisectors
Joshua Gullett
02:59
Geometry A Common Core Curriculum

PROOF In Exercises $21-23$ , write a paragraph proof for the theorem about right triangles.
Hypotenuse-Angle (HA) Congruence Theorem If an angle and the hypotenuse of a right triangle are
congruent to an angle and the hypotenuse of a second right triangle, then the triangles are congruent.

Chapter 5: Congruent Triangles
Section 6: Proving Triangle Congruence by ASA and AAS
Joshua Gullett
02:38
Geometry A Common Core Curriculum

Angle-Leg (AL) Congruence Theorem If an angle and a leg of a right triangle are congruent to an angle and a leg of a second right triangle, then the triangles are congruent.

Chapter 5: Congruent Triangles
Section 6: Proving Triangle Congruence by ASA and AAS
Joshua Gullett
04:52
Geometry A Common Core Curriculum

MATHEMATICAL CONNECTIONS This toy contains $\triangle \mathrm{ABC}$ and $\triangle \mathrm{DBC}$ . Can you conclude that $\triangle A B C \cong \Delta D B C$ from the given angle measures? Explain.
$$\begin{array}{l}{\mathrm{m} \angle \mathrm{ABC}=(8 \mathrm{x}-32)^{\circ}} \\ {\mathrm{m} \angle \mathrm{DBC}=(4 \mathrm{y}-24)^{\circ}} \\ {\mathrm{m} \angle \mathrm{BCA}=(5 \mathrm{x} -10)^{\circ}}\end{array}\\
\begin{array}{l}{\mathrm{m} \angle \mathrm{BCD}=(3 \mathrm{y} - 2)^{\circ}} \\ {\mathrm{m} \angle \mathrm{CAB}=(2 \mathrm{x}-8)^{\circ}} \\ {\mathrm{m} \angle \mathrm{CDB}=(\mathrm{y}-6)^{\circ}}\end{array}$$

Chapter 5: Congruent Triangles
Section 6: Proving Triangle Congruence by ASA and AAS
Joshua Gullett
02:42
Geometry A Common Core Curriculum

PROVING A THEOREM Prove the Converse of the Base Angles Theorem (Theorem 5.7). (Hint: Draw
an auxiliary line inside the triangle.)

Chapter 5: Congruent Triangles
Section 6: Proving Triangle Congruence by ASA and AAS
Joshua Gullett
03:12
Geometry A Common Core Curriculum

MODELING WITH MATHEMATICS Then a light ray from an object meets a mirror, it is reflected back to your eye. For example, in the diagram, a light ray from point $C$ is reflected at point D and travels back to point A. The law of reflection states that the angle reflection, $\angle \mathrm{ADB}$ .
a. Prove that $\triangle$ ABDis congruent to $\Delta \mathrm{CBD}$ .
Given $\quad \frac{\angle C D B \cong}{D B} \cong \angle A D B$
Prove $\quad \Delta A B D \cong \Delta C B D$
b. Verify that $\triangle A C D$ is isosceles.
c. Does moving away from the mirror have any effect on the amount of his or her reflection a person sees? Explain.

Chapter 5: Congruent Triangles
Section 6: Proving Triangle Congruence by ASA and AAS
Joshua Gullett
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