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martin

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The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic. A two column table with five rows. The first column, Number of People, has the entries, 6, 9, 12, 1...
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Beverly owns a rental house. Her current tenant, Corbin, signed a two-year lease and moved into the house in January 2024. At that time, Corbin paid Beverly $1,800 for the first month's rent and $1,800 as a refundable se...
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Triangles A B C and A B F are congruent. Triangle A B C is reflected across line B A to form triangle A B F. Which rigid transformation would map ΔABC to ΔABF? a rotation about point A a reflection across the line contai...
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Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent. Could ΔABC be congruent to ΔADC by SSS? Explain. Yes, but only if AB ≅ DC. Yes, but only if BC ≅ DC. No, because AB is not congru...
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On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Triangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best ex...
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How can ΔABC be mapped to ΔXYZ? Triangles A B C and X Y Z are shown. The lengths of sides A B and X Y are 25 centimeters. The lengths of sides A C and X Z are 29 centimeters. Angles B A C and Y X Z are 36 degrees. Triang...
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Triangles W X Z and Y Z X share common side X Z. Angles W X Z and X Z Y are right angles. The lengths of sides W X and Z Y are 21 centimeters. Is ΔWXZ ≅ ΔYZX? Why or why not? Yes, they are congruent by SAS. Yes, they are...
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Triangles S U V and R U W are connected at point U. Angles S U V and W U T are right angles. The length of hypotenuse S V is 2 x + 9 and the length of hypotenuse W T is 4 x minus 1. Sides V U and U W are congruent. Which...
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The triangles are congruent by SSS or HL. Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime B C is then rotated about point A to form A prime B prime C prime. Triangle A prime B prime...
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Triangles L M N and L K N are connected at side L N. A line is drawn from point M to point K and intersects side L N at point P. Examine this figure. Which two pieces of information, if true, would help to prove that ΔLM...
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The triangles are congruent by the SSS congruence theorem. Triangles A B C and D E C are connected at point C. Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C. Which rigid...
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The triangles are congruent by SSS and HL. Triangles R S T and V W X are shown. Triangle R S T can be rotated about point S and then shifted down and to the left to form triangle V W X. Which transformation(s) can be use...
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Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are true about additional information for proving that the triangles are congruent? Select two...
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Triangles L K N and P Q M are shown. Sides K L and Q P are congruent. Angles L K N and P Q M are right angles. What additional information is needed to prove that the triangles are congruent using the ASA congruence theo...
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The proof TriangleABC ≅ TriangleDCB that is shown. Given: AngleA ≅ AngleD; CD||AB Prove: TriangleABC ≅ TriangleDCB Triangles C D B and C A B are shown. Angles C D B and C A B are congruent. Sides D C and A B are parallel...
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Triangles A B C and R M Q are shown. Angles C A B and M R Q are 29 degrees. Angles A B C and R M Q are 116 degrees. What additional information could be used to prove that the triangles are congruent using AAS? Select tw...
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Triangles J K L and M N Q are shown. Triangle J K L is rotated slightly about point L to form triangle M N Q. Two rigid transformations are used to map TriangleJKL to TriangleMNQ. The first is a translation of vertex L t...
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Triangles Q R S and T U V are shown. Triangle Q R S is translated across S Q and then is shifted down and to the right to form triangle T U V. Can a translation and a reflection map TriangleQRS to TriangleTUV? Explain wh...
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The proof that ΔEFG ≅ ΔJHG is shown. Given: G is the midpoint of HF, EF ∥ HJ, and EF ≅ HJ. Prove: ΔEFG ≅ ΔJHG Triangles E F G and J H G share common point G. Statement Reason 1. G is the midpoint of HF 1. given 2. FG ≅ H...
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Triangle X Y Z is translated up 2 and right 3 units to form triangle C A B. Triangle XYZ was translated up 2 and right 3 units, creating triangle CAB. Which relationship between the parts of the two triangles must be tru...
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Rectangle ABCD is congruent to rectangle URST. Rectangles A B C D and U R S T are congruent. The length of sides A B is 9 millimeters and the length of sides R S is 15 millimeters. What is the area of rectangle URST? 24...
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On a coordinate plane, 2 triangles are shown. Triangle D E F has points (6, 4), (5, 8) and (1, 2). Triangle R S U has points (negative 2, 4), (negative 3, 0), and (2, negative 2). Triangle DEF is reflected over the y-axi...
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In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm. Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. T...
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Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D. ABC is an obtuse triangle. Which is true about point D? Point D can be the orthocenter because it is the point of in...
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An orthocenter is the intersection of three angle bisectors in a triangle. altitudes in a triangle. medians in a triangle. perpendicular bisectors in a triangle.
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