help with geometry questions
1. The following ordered pairs form polygon WXYZ: W(‒1, 3), X(2, 3), Y(3, ‒1), and Z(‒1, ‒1) Which statement is not true? A. WX 2. is perpendicular to WZ. B. ∠WXY is a right angle. C. WX is parallel to ZY. D. ∠WZY is congruent to ∠ZWX. 1 points QUESTION 2 1. After applying both of the following transformations, what is the coordinate of B’ ? Translate (‒5, ‒3) and then reflect over the x-axis. A. (1, 2. 1) B. (1, ‒1) C. (‒1, ‒1) D. (‒1, 1) 1 points QUESTION 3 1. The coordinates of ΔABC are A(1, 1), B(5, 3) and C(4, 0). If ΔA’B’C’ is the result of the rotating the triangle ‒90º and reflecting over the line y=x, then ΔA’B’C’ is A. similar 2. to ΔABC B. congruent to ΔABC C. a right triangle D. an equilateral triangle 1 points QUESTION 4 1. Point Z(‒3, 4) has been transformed to point Z'(‒4, ‒3). What transformation rule was used? A. a 2. reflection over the line y=‒x B. a rotation of 90º C. a reflection over the x-axis D. a rotation of ‒90º 1 points QUESTION 5 1. A regular polygon is shown below. Which statement is not true. A. There 2. are only 4 lines of symmetry in this polygon. B. A clockwise rotation of 180º will move point A to point E. C. There are 8 lines of symmetry in this polygon. D. A counter-clockwise rotation of 180º will move point G to point C. 1 points QUESTION 6 1. ΔABC was reflected to ΔA’B’C’ over line k as shown below. Which statement is not true? A. The 2. measure of ∠BYZ is 90º. B. Z is the midpoint of line segment C’C. C. Point C’ and Point C is equidistant from point Z. D. Line segment B’C’ is parallel to line segment BC. 1 points QUESTION 7 1. ΔRAT is translated to ΔFYZ. Which statement is not true? A. TZ 2. is parallel to RF. B. TZ is perpendicular to TA. C. TZ has the same length as AY. D. TA has the same length as ZY. 1 points QUESTION 8 1. Which series of transformations would be used to map ΔABC to ΔA”B”C”? A. Translate 2. ΔABC 1 units down and then reflect over the x-axis. B. Reflect ΔABC over the y-axis and then translate down 5 units. C. Rotate ΔABC 180º and then reflect over the line y=x. D. Reflect ΔABC over the y-axis and then rotate 180º around the origin. 1 points QUESTION 9 1. ΔABC is shown on the coordinate graph below. Which statement is true? A. Translating 2. down 5 units maps the polygon to the same place as reflecting ΔABC over y=1 and then reflecting ΔABC over y=‒2. B. Translating down 5 units maps the polygon to the same place as reflecting ΔABC over y=x and then reflecting ΔABC over y=‒x. C. The rotation of ΔABC around the origin 180º maps the triangle to the same place as reflecting ΔABC over the y-axis and then translating it down 4 units. D. The rotation of ΔABC around the origin 180º maps the triangle to the same place as reflecting ΔABC over the x-axis and then reflecting it over the y-axis . 1 points QUESTION 10 1. What series of transformations will not produce a figure that is congruent to the original figure? A. An 2. equilateral triangle is enlarged by 50%. B. An equiangular triangle is rotated around the origin 240º. C. ΔABC is reflected over the line y=5 and then over the line x=‒2. D. ΔDEF is reflected over the line y=‒x and then it translated to the left 4 units. 1 points QUESTION 11 1. The coordinates of ΔRGB are R(‒3, 2), G(3, 4) and B(1, 1). Under a series of transformations, the resulting figure ΔUNA has the following coordinates: U(2, ‒3), N(‒4, ‒3) and A(‒1, ‒1). Which statement is not true? RB has the same length as UA. GB is congruent to AN. The measure of ∠R is the same as ∠N. The original triangle ΔRGB is congruent to ΔUNA. 1 points QUESTION 12 1. If ΔEAR≅ΔLIP, which statement is true? A. The 2. measure of ∠A is the same as the measure of ∠P. B. The length of AR is the same as the length of RE. C. ∠REA is congruent to ∠PLI. D. AE is congruent to PI. 1 points QUESTION 13 1. In the diagram shown below, ΔABC was reflected over two different lines to produce ΔEFD. Which statement is not true? A. m2. ∠D=m∠C=90º B. ∠BCA is congruent to ∠FDE. C. m∠B=m∠F D. CB has the same length as DF. 1 points QUESTION 14 1. If ΔJAB ≅ ΔFED, AB = 10 in, m∠BJA = 52º, and m∠EDF = 65º, which of the following statements is not true? A. m∠ABJ 2. = 65º B. ED = 10 in C. ∠B ≅∠E D. m∠FED = 63º 1 points QUESTION 15 1. Given: m∠M=m∠J and MJ bisects LN Which statement is not true based on the diagram and this given information? A. K2.is the midpoint of LN. B. ∠LKM is congruent to ∠NKJ. C. LM is perpendicular to JM. D. LM has the same length as NJ. 1 points QUESTION 16 1. Given: m∠M=m∠J and MJ bisects LN What triangle congruence criteria can be used to prove that ΔLKM≅ΔNKJ? A. SSS 2. B. SAS C. ASA D. AAS 1 points QUESTION 17 1. Given: m∠M=m∠J and MJ bisects LN Which statement allows us to conclude that LM is congruent to JN? A. Corresponding parts of congruent triangles are congruent. 2. B. If two lines are parallel, then alternate interior angles are congruent. C. A line segment bisector divides a segment into two congruent segments. D. When two triangles share a side, the sides are congruent. 1 points QUESTION 18 1. Given: AD, BE and FC intersect at point P. AD⊥FC. If m∠FPE=24º, find the measure of ∠BPD. A. 136º 2. B. 124º C. 114º D. 156º 1 points QUESTION 19 1. Given: m∠M=m∠J and MJ bisects LN Which statement allows us to conclude that LM is parallel to JN? A. Vertical angles are congruent. 2. B. If same-side interior angles are supplementary, then the lines are parallel. C. If alternate interior angles are congruent, then the lines are parallel. D. If corresponding angles are congruent, then the lines are parallel. 1 points QUESTION 20 1. Given: MNOP is a rectangle. Find the measure of ∠OMN. A. 22º 2. B. 40º C. 44º D. 60º 1 points QUESTION 21 1. Which statement is not true based on the diagram shown above? A. LJ 2. is perpendicular to KN. B. KN is twice the length of JL. C. The measure of ∠MKL is congruent to ∠MNJ. D. ΔKMJ is a right triangle. 1 points QUESTION 22 1. Given: KL ‖ JN and KJ ‖ LN. Which statement is not true? A. The 2. measure of ∠JKN is the same as the measure of ∠JNK. B. JL bisects ∠KLN. C. JL and KN bisect each other. D. The measure of ∠KJN is 82º. 1 points QUESTION 23 1. Given: DE ‖ GF and DG ‖ EF Which statement is not true? A. DEFG is a parallelogram. 2. B. The measure of ∠EFG is 86º. C. The measure of ∠EFD is 35º. D. The length of DG is 16.3 ft. 1 points QUESTION 24 1. Given: BD bisects ∠ADC ∠A≅∠C What reason would be used to justify that BD bisects ∠ABC? A. An 2. angle bisector divides an angle into two congruent angles. B. Correspnding parts of congruent triangles are congruent. C. Vertical angles are congruent. D. If two sets of corresponding angles and a set of sides not in between are congruent, then the triangles are congruent. 1 points QUESTION 25 1. A proof is started as shown below. What statement and reason is needed to complete Step #2? A. ∠P≅∠B, 2. vertical angles are congruent B. PR≅GB, definition of line segment bisector C. PG≅GL, definition of midpoint D. GR≅LB, if two lines are parallel, then the lines are congruent 1 points QUESTION 26 1. Joey constructed a line segment on ΔDFE as shown below. The arcs were drawn using point D and point E as the center of a circle with the same radius measure. What type of triangle best describes ΔDFE? A. acute 2. triangle B. isosceles triangle C. scalene triangle D. equilateral triangle 1 points QUESTION 27 1. A construction is shown in the following diagram. An arc was formed by having point A and point B as the center and using the same radius. Based on this diagram, which statement is not true? A. C2. is the midpoint of AB. B. AC has the same length as CD. C. AB is perpendicular to DE. D. AD has the same length as DB. 1 points QUESTION 28 1. ΔTwo circles are drawn, one with center A and one with center B. Which statement is not true? A. ΔADB is an equilateral triangle. B. ΔCBF is congruent to ΔDBF by ASA. C. AC, CB, BD, and DA are congruent and form rhombus ACBD. D. The measure of ∠CAD is 120º. 1 points QUESTION 29 1. In a ΔABC, m∠B=47º and m∠C=90º. What is the order of the sides in length from longest to shortest? A. AC, BC, AB B. BC, AC, AB C. AB, AC, BC D. AB, BC, AC 1 points QUESTION 30 1. If the lengths of two sides of a triangle are 6 and 15, what length could not be the length of the third side? 21 25 12 15 1 points
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