Questions

1) Which statement is INCORRECT about the relationship of the angles and lengths of the sides in triangles?

a.) An equiangular triangle has all three angles equal in measure.

b.) An equilateral triangle has all sides congruent.

c.) A scalene triangle has all sides measuring different lengths.

d.) An isosceles triangle has two congruent sides.

e.) An obtuse triangle has two obtuse angles.

2) Classify the triangle. (Note: The red hash marks indicate congruent sides.)

a.) Right

b.) Isosceles

c.) Equilateral

d.) Obtuse

e.) Scalene

3) Classify the triangle. (Note: The dotted square indicates a 90-degree angle.)

a.) Right

b.) Isosceles

c.) Equilateral

d.) Equiangular

e.) Obtuse

4) Classify the triangle. (Note: The red hash marks indicate congruent sides.)

a.) Right

b.) Isosceles

c.) Equilateral

d.) Obtuse

e.) Scalene

5) Classify the triangle.

a.) Right

b.) Acute

c.) Equilateral

d.) Obtuse

e.) Isosceles

6) Classify the triangle.

a.) Right

b.) Acute

c.) Equilateral

d.) Obtuse

e.) Isosceles

7) On paper, draw a triangle with three angles less than 90 degrees and no congruent sides. The triangle is what type of triangle?

a.) Isosceles

b.) Equilateral

c.) Scalene

8) Is it possible to draw a triangle with two obtuse angles? Why or why not?

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9) On paper, draw an obtuse isosceles triangle. (a) What types of angles make up the triangle? (b) How do the lengths of the sides compare?

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10) When the three angles of a triangle are cut away from the triangle and lined up so that the three vertices are touching and the angles are side by side; together, the three angles form what larger angle?

a.) Acute angle (less than 90 degrees)

b.) Obtuse angle (between 90 and 180 degrees)

c.) Right angle (exactly 90 degrees)

d.) Straight angle (180 degrees)

11) What is the value of “x” in the given triangle?

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12) What is the value of “x” in the given triangle?

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13) What is the value of “x” in the given triangle?

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14) Study the corresponding statements about the angles of the congruent triangles. State the letter of the INCORRECT correspondence.

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15) Study the corresponding statements about the sides of the congruent triangles. State the letter of the INCORRECT correspondence.

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16) What type of transformation is illustrated in the previous two questions?

a.) Slide

b.) Flip

c.) Rotation

17) Triangle HEF is transformed to triangle FGH. What type of transformation is illustrated?

a.) Slide

b.) Flip

c.) Rotation

18) Triangle STU is transformed to triangle DEF. What type of transformation is illustrated?

a.) Slide

b.) Flip

c.) Rotation

19) Complete the correspondence statement.

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20) Complete the correspondence statement.

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21) Complete the correspondence statement.

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22) Complete the correspondence statement.

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23) Complete the correspondence statement.

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24) Which side corresponds to itself?

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25) What is true about similar triangles?

a.) If two triangles are similar, then only the corresponding angles are congruent.

b.) If two triangles are similar, then only the corresponding sides are congruent.

c.) If two triangles are similar, then both the corresponding sides and angles are congrent.

26) True or False.

True

False

27) True or False.

True

False

28) What is the measure of the given angle?

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29) Solve for "x".

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30) Which of the following statements is an INCORRECT statement about the relationship between similar triangles JKL and GHI?

a.) The scale factor is the same between the corresponding sides.

b.) Any pair of corresponding sides may be used to determine the scale factor.

c.) To determine the length of LJ, the scale factor of 1/4 can be multiplied by the length of IG.

d.) The scale factor between sides HG and KJ is 4 when comparing the larger triangle to the smaller triangle.

e.) The scale factor between sides HI and KL is 6 when comparing the larger triangle to the smaller triangle.

31) What is the value of “x”?

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32) What is the value of “x”?

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33) What is the value of “x”?

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