Question 1(Multiple Choice Worth 1 points)
(03.02 MC)
coordinate plane with triangles EFG and GHI with E at negative 6 comma 2, F at negative 2 comma 6, G at negative 2 comma 2, H at negative 2 comma 4, and I at 0 comma 2
Which set of transformations would prove ΔGFE ~ ΔGHI?
Translate ΔGHI by the rule (x − 2, y + 0), and reflect ΔG′H′I′ over x = −4.
Reflect ΔGHI over x = −2, and translate ΔG′H′I′ by the rule (x − 2, y + 0).
Translate ΔGHI by the rule (x + 0, y + 2), and dilate ΔG′H′I′ by a scale factor of 2 from point H.
Reflect ΔGHI over x = −2, and dilate ΔG′H′I′ by a scale factor of 2 from point G.
Question 2(Multiple Choice Worth 1 points)
(03.02 MC)
ΔEFI is dilated by a scale factor of one third with the center of dilation at point F. Then, it is reflected over line a to create ΔHFG. Based on these transformations, which statement is true?
Line segments EG and HI intersect at point F, forming triangles EFI and HFG. Line a intersects with both triangles at point F.
segment FE = segment FH over 3, segment FI = segment FG over 3, and segment EI = segment HG over 3; ΔEFI ~ ΔHFG
segment FE = segment FG over 3, segment FI = segment FH over 3, and segment EI = segment HG over 3; ΔEFI ~ ΔGFH
segment FE over 3 = segment FG, segment FI over 3 = segment FH, and segment EI over 3 = segment HG; ΔEFI ~ ΔGFH
segment FE over 3 = segment FH, segment FI over 3 = segment FG, and segment EI over 3 = segment HG; ΔEFI ~ ΔHFG
Question 3(Multiple Choice Worth 1 points)
(03.02 MC)
coordinate plane with quadrilaterals ABCD and EFGH with A at 0 comma 0, B at 2 comma 0, C at 2 comma negative 2, D at 0 comma negative 2, E at 1 comma 5, F at 7 comma 5, G at 7 comma 1, and H at 1 comma 1
Are quadrilaterals ABCD and EFGH similar?
Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 2, y + 5) and a dilation by the scale factor of 3 from point A′ map quadrilateral ABCD onto EFGH.
No, quadrilaterals ABCD and EFGH are not similar because their corresponding segments are not proportional.
Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3 from point D′ map quadrilateral ABCD onto EFGH.
No, quadrilaterals ABCD and EFGH are not similar because their corresponding angles are not congruent.
Question 4(Multiple Choice Worth 1 points)
(03.02 LC)
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true?
coordinate plane with triangles ACB and XYZ with A at negative 4 comma 4, C at negative 1 comma 3, B at negative 4 comma 0, X at 0 comma 8, Y at 8, comma 8, and Z at 6 comma 2
∠B ≅ ∠X
∠A ≅ ∠Z
∠C ≅ ∠X
∠Y ≅ ∠B
Question 5(Multiple Choice Worth 1 points)
(03.02 MC)
Pentagon G was dilated from the origin by a scale factor of one half to create Pentagon G′. Which statement explains why the pentagons are similar?
Dilations preserve side length; therefore, the corresponding sides of pentagons G and G′ are congruent.
Dilations preserve betweenness of points; therefore, the corresponding sides of pentagons G and G′ are proportional.
Dilations preserve orientation; therefore, the corresponding angles of pentagons G and G′ are congruent.
Dilations preserve collinearity; therefore, the corresponding angles of pentagons G and G′ are congruent.
Question 6(Multiple Choice Worth 1 points)
(03.02 MC)
Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″?
coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3
segment AB over segment A double prime B double prime equals one half
segment C double prime A double prime over segment CA equals one half
segment AB equals zero point two segment A double prime B double prime
segment C double prime A double prime equals zero point two segment CA
Question 7(Multiple Choice Worth 1 points)
(03.02 MC)
Which of the following statements is true only if triangles EFI and GFH are similar?
Line segments EG and HI intersect at point F, forming triangles EFI and HFG Line a intersects with both triangles at point F.
two segment FI equals three segment FH
Lines EI and HG are parallel
Points E, F, and G are collinear
segment EI over segment FI = segment GH over segment FH
Question 8(Multiple Choice Worth 1 points)
