Stellar Physics 1 Multiple Choice Questions. Test Question Does this quiz work? A.Yes B.No.
Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle...
-
Upload
blake-walton -
Category
Documents
-
view
216 -
download
1
Transcript of Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle...
![Page 1: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/1.jpg)
Over Lesson 5–5
A. yes
B. no
Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.
![Page 2: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/2.jpg)
Over Lesson 5–5
A. yes
B. no
Determine whether it is possible to form a triangle with side lengths 4.2, 4.2, and 8.4.
![Page 3: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/3.jpg)
Over Lesson 5–5
A. yes
B. no
Determine whether it is possible to form a triangle with side lengths 3, 6, and 10.
![Page 4: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/4.jpg)
Over Lesson 5–5
A. 5 < n < 12
B. 6 < n < 16
C. 8 < n < 17
D. 9 < n < 17
Find the range for the measure of the third side of a triangle if two sides measure 4 and 13.
![Page 5: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/5.jpg)
Over Lesson 5–5
A. 11.7 < n < 25.4
B. 9.1 < n < 22.7
C. 7.3 < n < 23.9
D. 6.3 < n < 18.4
Find the range for the measure of the third side of a triangle if two sides measure 8.3 and 15.6.
![Page 6: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/6.jpg)
Over Lesson 5–5
A. 5 ≤ MN ≤ 19
B. 5 < MN < 19
C. 5 < MN < 12
D. 7 < MN < 12
Write an inequality to describe the length of MN.___
![Page 7: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/7.jpg)
You used inequalities to make comparisons in one triangle.
• Apply the Hinge Theorem or its converse to make comparisons in two triangles.
• Prove triangle relationships using the Hinge Theorem or its converse.
![Page 8: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/8.jpg)
![Page 9: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/9.jpg)
Use the Hinge Theorem and Its Converse
A. Compare the measures AD and BD.
Answer: By the Hinge Theorem, mACD > mBCD, so AD > DB.
In ΔACD and ΔBCD, AC BC, CD CD, and mACD > mBCD.
![Page 10: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/10.jpg)
Use the Hinge Theorem and Its Converse
B. Compare the measures mABD and mBDC.
Answer: By the Converse of the Hinge Theorem, mABD > mBDC.
In ΔABD and ΔBCD, AB CD, BD BD, and AD > BC.
![Page 11: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/11.jpg)
A. FG > GH
B. FG < GH
C. FG = GH
D. not enough information
A. Compare the lengths of FG and GH.
![Page 12: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/12.jpg)
A. mJKM > mKML
B. mJKM < mKML
C. mJKM = mKML
D. not enough information
B. Compare mJKM and mKML.
![Page 13: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/13.jpg)
A. Meena’s kite
B. Rita’s kite
Meena and Rita are both flying kites in a field near their houses. Both are using strings that are 10 meters long. Meena’s kite string is at an angle of 75° with the ground. Rita’s kite string is at an angle of 65° with the ground. If they are both standing at the same elevation, which kite is higher in the air?
![Page 14: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/14.jpg)
Apply Algebra to the Relationships in Triangles
ALGEBRA Find the range of possible values for a.
From the diagram we know that
![Page 15: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/15.jpg)
Apply Algebra to the Relationships in Triangles
Converse of the Hinge Theorem
Substitution
Subtract 15 from each side.
Divide each side by 9.
Recall that the measure of any angle is always greater than 0.
Subtract 15 from each side.
Divide each side by 9.
![Page 16: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/16.jpg)
Apply Algebra to the Relationships in Triangles
The two inequalities can be written as the compound
inequality
![Page 17: Over Lesson 5–5 5-Minute Check 1 A.yes B.no Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.](https://reader035.fdocuments.in/reader035/viewer/2022062720/56649efc5503460f94c0f125/html5/thumbnails/17.jpg)
Find the range of possible values of n.
A. 6 < n < 25
B.
C. n > 6
D. 6 < n < 18.3