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Unit 4 Review - Properties of Triangles
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State what additional information is required in order to know that the triangles are congruent for the reason given.
/_TUV ≅ /_ JVU
State what additional information is required in order to know that the triangles are congruent for the reason given.
/_CDE ≅ /_TED or /_DEC ≅ /_EDT
State what additional information is required in order to know that the triangles are congruent for the reason given.
XW ≅ XU line segments with a bar on top of the letters
State what additional information is required in order to know that the triangles are congruent for the reason given.
/_ H ≅ /_U
Determine if the two triangles are congruent. If they are, state how you know.
not enough information
Determine if the two triangles are congruent. If they are, state how you know.
ASA
Determine if the two triangles are congruent. If they are, state how you know.
ASA
Determine if the two triangles are congruent. If they are, state how you know.
SSS
Write a statement that indicates that the triangles are congruent.
triangle PRQ ≅ triangle PRH
Write a statement that indicates that the triangles are congruent.
triangle KML ≅ triangle KFE
Complete each congruence statement by naming the corresponding angle or side.
/_I
Complete each congruence statement by naming the corresponding angle or side.
/_ WKV
Mark the angles and sides of each pair of triangles to indicate that they are congruent.
Mark the angles and sides of each pair of triangles to indicate that they are congruent.
Find the distance between the points. Round to the nearest tenth if necessary. (-4, -2), (-1, 2)
5
Find the distance between the points. Round to the nearest tenth if necessary. (-7.7, 6), (-7.5, -3.8)
9.8
Find the distance between the points . Round to the nearest tenth if necessary. (2.3, 1.2), (-3.6, -4.9)
8.5
Is the triangle acute, obtuse or right?
acute
Is the triangle acute, obtuse or right?
right
Is the triangle acute, obtuse or right?
obtuse
Is the triangle acute, obtuse or right?
obtuse
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
12 in
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
13 km
Order the angles of the triangle from smallest to largest.
/_ E, /_ F, /_ G
Order the angles of the triangle from smallest to largest.
/_ B, /_ C, /_ A
Order the sides of the triangle from shortest to longest.
JL, LK, KL (all line segments with a bar on top)
Order the sides of the triangle from shortest to longest.
JL, LK, KL (all line segments with a bar on top)
Solve for x
x = 5
Solve for x
x = 7
Solve for x
x = 10
Solve for x
x = 6
Classify the triangle by its angles.
acute
Classify the triangle by its angles.
obtuse
Classify the triangle by its angles.
obtuse
Classify the triangle by its sides.
isosceles
Classify the triangle by its sides.
scalene
Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 9, 7
2< x < 16
Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 10. 8
2< x < 18
Can these three numbers be the measures of the sides of a triangle? 3, 5, 6?
yes
Can these three numbers be the measures of the sides of a triangle? 1, 8, 9?
no
Can these three numbers be the measures of the sides of a triangle? 8, 18, 10?
no
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