What is the sum of the exterior angles of a triangle? Use the fact that the sum of the interior angles of a triangle is 180° and the fact that the measure of a straight angle is 180° to justify your answer.

Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is (3 × 180°) – 180° = 360°.

Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is (3 × 180°) + 180° = 720°.

Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is 3 × (180° + 180°) = 1080°.

Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is 3 × (180° – 180°) = 0°.

The figure is used in a proof of the Pythagorean Theorem. Which statement best summarizes the proof?

Show that the sum of the areas of the three triangles = the area of the trapezoid.

Show that the perimeter of Triangle NRP = the sum of the perimeters of Triangles NMR and PQR.

Show that the area of Triangle NRP = the sum of the areas of Triangles NMR and PQR

Show that the sum of the perimeters of the three triangles = the perimeter of the trapezoid.

A ladder 16 ft long is leaning against a building. If the base of the ladder is 4 ft from the building, how high up the building will the ladder reach?

4 15 f t 4\sqrt{15}ft 4 1 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> f t

4 17 f t 4\sqrt{17}ft 4 1 7 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> f t

2 5 f t 2\sqrt{5}ft 2 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> f t

2 3 f t 2\sqrt{3}ft 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> f t

Transformations Pre-Test

Authored by Anaseini Taufa

Mathematics

8th - 9th Grade

CCSS covered

Used 21+ times

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22 questions

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MULTIPLE SELECT QUESTION

5 mins • 1 pt

Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below.

Select all which are true.

$DE\approx r$

$DE\approx s$

$DE\approx t$

$EF\approx r$

$EF\approx s$

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below.

Select all which are true.

$EF\approx t$

$DF\approx r$

$DF\approx s$

$DF\approx t$

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Suppose a line segment with a length of 9 in. that is located in Quadrant I of a coordinate plane is reflected across the x–axis. Which of these statements is/are correct about the resulting figure? Select all that apply.

It will have a length of 11 in.

It will still be located in Quadrant I.

It will still have a length of 9 in.

It will still be a line segment.

Tags

CCSS.HSG.CO.A.2

MULTIPLE SELECT QUESTION

5 mins • 1 pt

In ΔDEF, ∠DEF measures 30°, ∠EFD measures 60°, and ∠FDE measures 90°. Suppose the triangle were reflected across the line y = –x in a coordinate plane. Which of these statements would be correct about the resulting triangle? Select three that apply.

∠DEF would measure 30°

∠DEF would measure 90°

∠FDE would measure 60°

∠FDE would measure 90°

∠EFD would measure 60°

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle C

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle A

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle B'

Tags

CCSS.8.G.A.3

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Transformations Pre-Test

Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below.

Select all which are true.

Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below.

Select all which are true.

Suppose a line segment with a length of 9 in. that is located in Quadrant I of a coordinate plane is reflected across the x–axis. Which of these statements is/are correct about the resulting figure? Select all that apply.

In ΔDEF, ∠DEF measures 30°, ∠EFD measures 60°, and ∠FDE measures 90°. Suppose the triangle were reflected across the line y = –x in a coordinate plane. Which of these statements would be correct about the resulting triangle? Select three that apply.

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle C

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle A

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle B'

Suppose a coordinate plane contains line l, line m, line p, and line q. If all that is known is that line l is parallel to line m, and line p is parallel to line q, which of these statements must be true after all of the lines are reflected across the y–axis. Select all that apply.

Choose the congruent angles on the triangle shown below:

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Discover more resources for Mathematics

Transformations Pre-Test

Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below.Select all which are true.

Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below.Select all which are true.

Suppose a line segment with a length of 9 in. that is located in Quadrant I of a coordinate plane is reflected across the x–axis. Which of these statements is/are correct about the resulting figure? Select all that apply.

In ΔDEF, ∠DEF measures 30°, ∠EFD measures 60°, and ∠FDE measures 90°. Suppose the triangle were reflected across the line y = –x in a coordinate plane. Which of these statements would be correct about the resulting triangle? Select three that apply.

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.Angle _____ = Angle C

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.Angle _____ = Angle A

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.Angle _____ = Angle B'

Suppose a coordinate plane contains line l, line m, line p, and line q. If all that is known is that line l is parallel to line m, and line p is parallel to line q, which of these statements must be true after all of the lines are reflected across the y–axis. Select all that apply.

Choose the congruent angles on the triangle shown below:

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Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below.

Select all which are true.

Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below.

Select all which are true.

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle C

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle A

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle B'