?The center of mass of an object is the point where the object can be balanced in all

Draw two diagrams or find two photographs that illustrate the use of congruent segments when building houses in the area where you live.

a. Explain why segment congruence is symmetric. b. Explain why segment congruence is transitive.

Use the number line to determine whether each statement is true or false. Explain your reasoning. \(\overline{A B}\) is congruent to \(\overline{C D}\). Equation Transcription: Text Transcription: overline AB overline CD

Use the number line to determine whether each statement is true or false. Explain your reasoning. \(D\) is the midpoint of \(\overline{C E}\). Equation Transcription: Text Transcription: D overline CE

Determine whether each statement is true or false. Explain your reasoning. If \(\overline{X Y} \cong \overline{Y Z}\), then \(Y\) is the midpoint of \(\overline{Z Y}\). Equation Transcription: ? Y Text Transcription: overline XY approx equal to overline YZ Y overline ZY

Determine whether each statement is true or false. Explain your reasoning. If \(\overline{R S} \cong \overline{C D}\), then \(\overline{C D} \cong \overline{R S}\). Equation Transcription: ? ? Text Transcription: overline RS approx equal to overline CD overline CD approx equal to overline RS

In the figure below, \(M\) is the midpoint of \(\overline{P Q}\). Find the value of \(x\). Equation Transcription: Text Transcription: M overline PQ x

Use the number line to determine whether each statement is true or false. Explain your reasoning. \(\overline{D G}\) is congruent to \(\overline{G J}\). Equation Transcription: Text Transcription: overline DG overline GJ

Use the number line to determine whether each statement is true or false. Explain your reasoning. \(\overline{B F}\) is congruent to \(\overline{E I}\). Equation Transcription: Text Transcription: overline BF overline EI

Use the number line to determine whether each statement is true or false. Explain your reasoning. \(\overline{A G}\) is congruent to \(\overline{D J}\). Equation Transcription: Text Transcription: overline AG overline DJ

Use the number line to determine whether each statement is true or false. Explain your reasoning. \(F\) is the midpoint of \(\overline{B I}\). Equation Transcription: Text Transcription: F overline BI

Use the number line to determine whether each statement is true or false. Explain your reasoning. \(E\) is the midpoint of \(\overline{B H}\). Equation Transcription: Text Transcription: E overline BH

Use the number line to determine whether each statement is true or false. Explain your reasoning. \(D\) is the midpoint of \(\overline{C F}\). Equation Transcription: Text Transcription: D overline CF

Determine whether each statement is true or false. Explain your reasoning. If \(X Y=Y Z\), then \(\overline{X Y} \cong \overline{Y Z}\). Equation Transcription: ? Text Transcription: XY = YZ overline XY approx equal to overline YZ

Determine whether each statement is true or false. Explain your reasoning. If \(\overline{A B} \cong \overline{B C}\), \(\overline{X Y} \cong \overline{F G}\), and \(\overline{B C} \cong \overline{F G}\), then \(\overline{A B} \cong \overline{X Y}\). Equation Transcription: ? ? ? ? Text Transcription: overline AB approx equal to overline BC overline XY approx equal to overline FG overline BC approx equal to overline FG overline AB approx equal to overline XY

Determine whether each statement is true or false. Explain your reasoning. Every segment has only one bisector.

Determine whether each statement is true or false. Explain your reasoning. A plane can bisect a segment at an infinite number of points.

Determine whether each statement is true or false. Explain your reasoning. If \(\overline{R S} \cong \overline{S T}\), \(S\) is the midpoint of \(\overline{R T}\). Equation Transcription: ? Text Transcription: overline RS approx equal to overline ST S overline RT

Determine whether each statement is true or false. Explain your reasoning. If points \(D\), \(E\), and \(F\) are collinear and \(E\) is not between \(D\) and \(F\), then \(F\) is between \(D\) and \(E\). Equation Transcription: Text Transcription: D E F

Draw a segment like \(\overline{M N}\) on your paper. Then use a compass and straightedge to bisect the segment. Equation Transcription: Text Transcription: overline MN

In the figure below, \(G\) is the midpoint of \(\overline{E F}\). a. Find the value of \(y\). b. Find \(EG\) and \(GF\). c. Find \(EF\). Equation Transcription: G y EG GF EF Text Transcription: G overline EF y EG GF EF

The center of mass of an object is the point where the object can be balanced in all directions. Draw the shape of a triangular object like the one at the right. Use the following steps to find its center of mass. a. Find the midpoint of each side of the triangle. b. Draw a segment between the midpoint of \(Q R\) and \(P\). c. Draw a segment between the midpoint of \(\overline{P R}\) and \(Q\). d. Draw a segment between the midpoint of \(\overline{P Q}\) and \(R\). e. The center of mass is the point where these three segments intersect. Label the center of mass \(C\). Equation Transcription: Text Transcription: QR P overline PR Q overline PQ R C

In the figure below, \(C\) is any point between \(A\) and \(B\), \(E\) is the midpoint of \(\overline{A C}\) and \(F\) is the midpoint of \(\overline{C B}\). Write a ratio comparing \(AB\) to \(EF\). Equation Transcription: Text Transcription: C A B E overline AC F overline CB AB EF

Three segment measures are given. The three points named are collinear. Determine which point is between the other two. \(\text { (Lesson 2-2) }\) \(M N=17, \ N P=6.5, \ M P=23.5\) Equation Transcription: (Lesson 2–2) Text Transcription: (Lesson 2–2) MN = 17, NP = 6.5, MP = 23.5

Three segment measures are given. The three points named are collinear. Determine which point is between the other two. \(\text { (Lesson 2-2) }\) \(R S=7.1, \ T R=2.9, \ T S=4.2\) Equation Transcription: (Lesson 2–2) Text Transcription: (Lesson 2–2) RS = 7.1, TR = 2.9, TS = 4.2

Write an irrational number between \(0\) and \(-2\) that has ten digits to the right of the decimal point. \(\text { (Lesson 2-1) }\) Equation Transcription: 0 -2 (Lesson 2–1) Text Transcription: 0 -2 (Lesson 2–1)

A soccer field is a rectangle that is \(100\) meters long and \(73\) meters wide. Find the area of the soccer field in square meters. \(\text { (Lesson 1-6) }\) Equation Transcription: 100 73 (Lesson 1–6) Text Transcription: 100 73 (Lesson 1–6)

Solve \(2 y+3=9\). (Algebra Review) Equation Transcription: Text Transcription: 2y + 3 = 9