Geometry EOC Review

Which statement is true regarding the congruence of triangles JKL and J'K'L' as graphed on the coordinate grid?

• The triangles are congruent because (JK/J'K' = KL/K'L' = JL/J'L').

• The triangles are not congruent because m∠J ≠ m∠J', m∠K ≠ m∠K', and m∠L ≠ m∠L'.

• The triangles are congruent because the corresponding angles of triangle JKL and triangle J'K'L' are congruent.

• The triangles are not congruent because the corresponding sides of triangle JKL and triangle J'K'L' are not congruent.

Tags

CCSS.8.G.A.2

Which criteria for triangle congruence will prove triangle JKL is congruent to triangle J'K'L'?

• Side Side Side

• Side Angle Side

• Side Side Angle

• Angle Side Angle

• Angle Angle Angle

Tags

CCSS.HSG.SRT.B.5

Triangle VXY is graphed on a coordinate grid. Which series of transformations will result in a triangle that is similar, but not congruent, to triangle VXY? Select the two that apply.

• a dilation with a factor of 0.25 using the origin as the center of dilation followed by a translation 4 units down

• a dilation with a factor of 0.5 followed by a dilation with a factor of 2 using the origin as the center of dilation for both

• a translation 4 units down followed by a translation 6 units left

• a rotation of 60° about the origin followed by a translation 0.5 unit left

• a translation 3 units left followed by a rotation of 180° about the origin

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

In a right triangle, the cosine of one acute angle is 5/13. What is the sine of the other acute angle?

• A. 5/13

• B. 13/5

• C. 5/12

• D. 12/13

Tags

CCSS.HSG.SRT.C.7

A ramp is placed on a loading dock that is 5 ft tall. Which ratio can be used to find the length of the ramp?

• 5/sin 15°

• 5/cos 15°

• sin 15°/5

• cos 15°/5

Tags

CCSS.HSG.SRT.C.6

To the nearest whole inch, what are the height and length of the base of the figure created by Logan from the circle?

• height = 10 in., base = 31 in.

• height = 10 in., base = 63 in.

• height = 20 in., base = 31 in.

• height = 20 in., base = 63 in.

A partial proof is given, using isosceles triangle ABC , where angle B is the vertex angle. Which statement and reason complete the proof?

• BD ≅ BD, Reflexive Property

• AD ≅ DC, Definition of a midpoint

• ∠ADB ≅ ∠CDB, All right angles are congruent.

• ∠A ≅ ∠C, Base angles of an isosceles triangle are congruent.

Tags

CCSS.HSG.SRT.B.5

The coordinates of the vertices of △ ABC are integers, as shown on the coordinate plane. Triangle ABC will be dilated by a scale factor of 2. Which statements are true about the image of Triangle ABC? Select the two true statements.

• If the center of dilation is the origin, then the image is a triangle that has a side on the x-axis.

• If the center of dilation is the origin, then the image is a triangle that has a side on the y-axis.

• If the center of dilation is the origin, then the image is a triangle that does not have any sides parallel to the sides of Triangle ABC.

• If the center of dilation is the point (0, 1), then the image is a triangle that is similar to Triangle ABC but that has been rotated.

• If the center of dilation is the point (0, 1), then the image is a triangle that has corresponding sides that are parallel to the sides of Triangle ABC.

Tags

CCSS.HSG.CO.A.2

In quadrilateral ABCD, BC ≅ CD and AB ≅ AD. Which single statement is sufficient to prove that ∠B ≅ ∠D?

• △ABD is isosceles because AB ≅ AD.

• △BCD is isosceles because BC ≅ CD.

• △ABC ≅ △ADC because AC ≅ AC, AB ≅ AD, and BC ≅ CD.

• m∠A + m∠B + m∠C + m∠D = 360° because ABCD is a convex quadrilateral.

Tags

CCSS.HSG.CO.C.9

Which equation represents a line perpendicular to the line represented by the equation 2x - 5y = 5?

• 5x + 2y = 6

• 6x - 15y = 15

• 5x - 2y = 6

• 2x + 5y = 20