?The drawing at the right shows the geometric arrangement of the objects in the painting

Select a possible measure for the third side of a triangle if its other two sides have measures \(17\) and \(9\). Equation Transcription: Text Transcription: 17 9

State three inequalities that relate the measures of the sides of the triangle.

Draw a triangle in your journal and explain why the shortest distance between two points is a straight line.

Determine if the three numbers can be measures of the sides of a triangle. Write yes or no. Explain. \(15, 8, 29\) Equation Transcription: Text Transcription:

Determine if the three numbers can be measures of the sides of a triangle. Write yes or no. Explain. \(100, 100, 8\) Equation Transcription: Text Transcription: 100,100,8

If two sides of a triangle have the following measures, find the range of possible measures for the third side. \(17, 8\) Equation Transcription: Text Transcription: 17,8

If two sides of a triangle have the following measures, find the range of possible measures for the third side. \(40, 62\) Equation Transcription: Text Transcription: 40, 62

If \(\angle F G H\) in the flock of migrating geese changes, what are the greatest and least possible whole number values of \(x\)? Equation Transcription: Text Transcription: angle FGH x

Determine if the three numbers can be measures of the sides of a triangle. Write yes or no. Explain. \(7, 12, 8\) Equation Transcription: Text Transcription: 7, 12, 8

Determine if the three numbers can be measures of the sides of a triangle. Write yes or no. Explain. \(6, 7, 13\) Equation Transcription: Text Transcription: 6, 7, 13

Determine if the three numbers can be measures of the sides of a triangle. Write yes or no. Explain. \(1, 2, 3\) Equation Transcription: Text Transcription: 1, 2, 3

Determine if the three numbers can be measures of the sides of a triangle. Write yes or no. Explain. \(9, 10, 14\) Equation Transcription: Text Transcription: 9, 10, 14

Determine if the three numbers can be measures of the sides of a triangle. Write yes or no. Explain. \(5, 10, 20\) Equation Transcription: Text Transcription: 5, 10, 20

Determine if the three numbers can be measures of the sides of a triangle. Write yes or no. Explain. \(60, 70, 140\) Equation Transcription: Text Transcription: 60, 70, 140

If two sides of a triangle have the following measures, find the range of possible measures for the third side. \(12, 8\) Equation Transcription: Text Transcription: 12,8

If two sides of a triangle have the following measures, find the range of possible measures for the third side. \(2, 7\) Equation Transcription: Text Transcription: 2, 7

If two sides of a triangle have the following measures, find the range of possible measures for the third side. \(21, 22\) Equation Transcription: Text Transcription: 21, 22

If two sides of a triangle have the following measures, find the range of possible measures for the third side. \(5, 16\) Equation Transcription: Text Transcription: 5, 16

If two sides of a triangle have the following measures, find the range of possible measures for the third side. \(44, 38\) Equation Transcription: Text Transcription: 44, 38

If two sides of a triangle have the following measures, find the range of possible measures for the third side. \(81, 100\) Equation Transcription: Text Transcription: 81, 100

The sum of \(KL\) and \(KM\) is greater than ________. Equation Transcription: Text Transcription: KL KM

If \(KM=5\) and \(KL=3\), then \(LM\) must be greater than _______ and less than _________. Equation Transcription: Text Transcription: KM = 5 KL = 3 LM

Determine the range of possible values for \(x\) if \(KM=x\), \(KL=61\), and \(LM=83\). Equation Transcription: Text Transcription: x KM = x KL = 61 LM=83

Some kitchen planners design kitchens by drawing a triangle and placing an appliance at each vertex. If the distance from the refrigerator to the sink is \(6\) feet and the distance from the sink to the range is \(5\) feet, what are possible distances between the refrigerator and the range? Equation Transcription: Text Transcription: 6 5

Early Egyptians made triangles using a rope with knots tied at equal intervals. Each vertex of the triangle had to be at a knot. How many different triangles could you make with a rope with exactly \(13\) knots as shown below? Sketch each possible triangle. Equation Transcription: Text Transcription: 13

In trapezoid \(ABCD\), \(A B=10\), \(B C=23\), and \(C D=11\). What is the range of possible measures for \(\overline{A D}\)? (Hint: First find the range of possible measures for \(\overline{A C}\).) Equation Transcription: Text Transcription: ABCD AB=10 BC = 23 CD = 11 AD AC

The drawing at the right shows the geometric arrangement of the objects in the painting Apples and Oranges. In each triangle, list the sides in order from least to greatest length. a. \(\triangle L M N\) b. \(\triangle U V W\) c. \(\triangle B C D\) Equation Transcription: Text Transcription: triangle LMN triangle UVW triangle BCD

What is the measure of the exterior angle at \(D\)? Equation Transcription: Text Transcription: D

When Kendra’s tent is set up, the front of the tent is in the shape of an isosceles triangle. If each tent side makes a \(75^{\circ}\) angle with the ground, what is the measure of the angle at which the sides of the tent meet? Equation Transcription: Text Transcription: 75 degrees

Find the value of \(x\) in the figure at the right. Equation Transcription: Text Transcription: x

Multiple Choice Points \(J\), \(K\), and \(L\) are collinear, with \(K\) between \(J\) and \(L\). If \(K L=6 \frac{1}{3}\) and \(J L=16 \frac{2}{5}\), what is the measure of \(\overline{J K}\)? 1. \(10\) 2. \(10 \frac{1}{15}\) 3. \(22 \frac{1}{2}\) 4. \(22 \frac{11}{15}\) Equation Transcription: Text Transcription: J K L KL = 6 1/3 JL = 16 2/5 overline JK 10 10 1/15 22 1/2 22 11/15