7.1.3 Review & Preview Part 1

\Delta XYZ is reflected across XZ, as shown at right. Homework Help ✎

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How can you justify that the points Y, Z, and Y′ all lie on a straight line?

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What is the relationship between ΔXYZ and ΔX′Y′Z′? Why?

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Mark all the statements you can about the corresponding parts of these two triangles.

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Remember that a midpoint of a line segment is the point that divides the segment into two segments of equal length. On graph paper, plot the points P(0,3) and Q(0,11). Where is the midpoint M if PM=MQ? Explain how you found your answer. 7-29 HW eTool (Desmos) Homework Help ✎

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Examine the diagram at right. Find two equivalent expressions that represent the area of the inner square. Homework Help ✎

For each pair of triangles below, decide whether the triangles are similar and/or congruent. Justify each conclusion. Homework Help ✎

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Justify.

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Justify.

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On graph paper, plot and connect the points A(1,1), B(2,3), C(5,3), and D(4,1) to form quadrilateral ABCD. 7-32 HW eTool (Desmos) Homework Help ✎

*You may want to consider taking a screenshot of your graph for #14 and using it for work on #s 15-17 as well.

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Graph. What is the best name for quadrilateral ABCD? Justify your answer. (You need math!!!)

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Find and compare m∠DAB and m∠BCD. What is their relationship?

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Find the equations of diagonals AC and BD. Are the diagonals perpendicular?

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Solve each system of equations below, if possible. If it is not possible, explain what having “no solution” tells you about the graphs of the equations. Write each solution in the form (x,y). Show all work. Homework Help ✎

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\begin{aligned} y = -\frac{1}{3}x + 7 \\ y = -\frac{1}{3}x - 2 \end{aligned}

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7.1.3 Review & Preview Part 1

How can you justify that the points Y, Z, and Y′ all lie on a straight line?

What is the relationship between ΔXYZ and ΔX′Y′Z′? Why?

Mark all the statements you can about the corresponding parts of these two triangles.

Remember that a midpoint of a line segment is the point that divides the segment into two segments of equal length. On graph paper, plot the points P(0,3) and Q(0,11). Where is the midpoint M if PM=MQ? Explain how you found your answer. 7-29 HW eTool (Desmos) Homework Help ✎

Examine the diagram at right. Find two equivalent expressions that represent the area of the inner square. Homework Help ✎

Justify.

Justify.

Graph. What is the best name for quadrilateral ABCD? Justify your answer. (You need math!!!)

Find and compare m∠DAB and m∠BCD. What is their relationship?

Find the equations of diagonals AC and BD. Are the diagonals perpendicular?

\begin{aligned} y = -\frac{1}{3}x + 7 \\ y = -\frac{1}{3}x - 2 \end{aligned}

\begin{aligned} &y = 2x + 3 \\ &y = x^2 - 2x + 3 \end{aligned}

How can you justify that the points Y, Z, and Y′ all lie on a straight line?

What is the relationship between ΔXYZ and ΔX′Y′Z′? Why?

Mark all the statements you can about the corresponding parts of these two triangles.

Remember that a midpoint of a line segment is the point that divides the segment into two segments of equal length. On graph paper, plot the points P(0,3) and Q(0,11). Where is the midpoint M if PM=MQ? Explain how you found your answer. 7-29 HW eTool (Desmos) Homework Help ✎

Examine the diagram at right. Find two equivalent expressions that represent the area of the inner square. Homework Help ✎

Justify.

Justify.

Justify.

Justify.

Graph. What is the best name for quadrilateral ABCD? Justify your answer. (You need math!!!)

Find and compare m∠DAB and m∠BCD. What is their relationship?

Find the equations of diagonals AC and BD. Are the diagonals perpendicular?

Find the point where diagonals AC and BD intersect.

\begin{aligned} y = -\frac{1}{3}x + 7 \\ y = -\frac{1}{3}x - 2 \end{aligned}

\begin{aligned} &y = 2x + 3 \\ &y = x^2 - 2x + 3 \end{aligned}

Justify.

Justify.

Find the point where diagonals AC and BD intersect.