 # High school geometry questions and answers

Recent questions in High school geometry aortiH 2020-10-31 Answered

### $$\displaystyle\text{Let}\ {o}{v}{e}{r}\rightarrow{\left\lbrace{e}_{{1}}\right\rbrace},{o}{v}{e}{r}\rightarrow{\left\lbrace{e}_{{2}}\right\rbrace},{o}{v}{e}{r}\rightarrow{\left\lbrace{e}_{{3}}\right\rbrace}\ \text{be standard unit vectors along the coordinate axes in}\ {R}^{{3}}.\text{Let S and T be the linear transformations defind in}\ {R}^{{3}}.\text{Show that if}$$ $$\displaystyle{S}{\left({o}{v}{e}{r}\rightarrow{\left\lbrace{e}\right\rbrace}_{{1}}\right)}={T}{\left({o}{v}{e}{r}\rightarrow{\left\lbrace{e}\right\rbrace}_{{1}}\right)},{S}{\left({o}{v}{e}{r}\rightarrow{\left\lbrace{e}\right\rbrace}_{{2}}\right)}={T}{\left({o}{v}{e}{r}\rightarrow{\left\lbrace{e}\right\rbrace}_{{2}}\right)},{S}{\left({o}{v}{e}{r}\rightarrow{\left\lbrace{e}\right\rbrace}_{{3}}\right)}={T}{\left({o}{v}{e}{r}\rightarrow{\left\lbrace{e}\right\rbrace}_{{3}}\right)}$$ then $$\displaystyle{S}{\left({o}{v}{e}{r}\rightarrow{\left\lbrace{x}\right\rbrace}\right)}={T}{\left({o}{v}{e}{r}\rightarrow{\left\lbrace{x}\right\rbrace}\right)}$$ for any $$\displaystyle{o}{v}{e}{r}\rightarrow{\left\lbrace{x}\right\rbrace}\in{R}^{{3}}$$ Caelan 2020-10-31 Answered

### Prove: $$\displaystyle\triangle\ {C}{B}{F}\ \stackrel{\sim}{=}\triangle{E}{D}{F}$$ using isometric (rigid) transformations. Outline the necessary transformations to prove $$\displaystyle\triangle\ {C}{B}{F}\ \stackrel{\sim}{=}\ \triangle\ {E}{D}{F}$$ using a paragraph proof. Be sure to name specific sides or angles used in transformation and any congruency statements. Maiclubk 2020-10-31 Answered

### Determine whether $$\displaystyle\triangle{A}{B}{C}{\quad\text{and}\quad}\triangle{D}{E}{F}$$ are similar for each set of measures. If so, identify the similarity criterion. 1.$$\displaystyle{m}\angle{A}={20},{m}\angle{C}={20},{m}\angle{D}={40},{m}\angle{F}={40}$$ 2.$$\displaystyle{m}\angle{A}={20},{m}\angle{C}={4}{u},{m}\angle{D}={20},{m}\angle{F}={40}$$ 3.$$\displaystyle{A}{B}={20},{B}{C}={40},{m}\angle{B}={53}$$, $$\displaystyle{D}{E}={10},{E}{F}={20},{m}\angle{E}={53}$$ tricotasu 2020-10-28 Answered

### Foci: (0,0), (0,8), major axis of length 16 Daniaal Sanchez 2020-10-28 Answered

### Using Similarity Express x in terms of a, b, and c. Given: The given pair of triangles is similar. The given pair of triangle is,  avissidep 2020-10-28 Answered

### An inverted cone (base above the vertex) is 2 m high and has a base radius of $$\displaystyle\frac{{1}}{{2}}$$ m. If the tank is full, how much work is required to pump the water to a level 1 m above the top of the tank? chillywilly12a 2020-10-28 Answered

### Describe one similarity and one difference between the definitions of $$\displaystyle{\sin{{0}}},{\quad\text{and}\quad}{\cos{{0}}}$$, where 0 is an acute angle of a right triangle. Marvin Mccormick 2020-10-28 Answered

### Solve the following systems of congruences. $$x\equiv 2(mod\ 5)$$ Wotzdorfg 2020-10-27 Answered

### Which of the following is the correct equation used to solve for the measure of each angle? OA. $$\displaystyle{m}\angle{A}−{m}\angle{B}−{m}\angle{C}={180}^{\circ}$$ O B. $$\displaystyle{m}\angle{A}+{m}\angle{B}−{m}\angle{C}={180}^{\circ}$$ O c. $$\displaystyle{m}\angle{A}−{m}\angle{B}+{m}\angle{C}={180}^{\circ}$$ O D. $$\displaystyle{m}\angle{A}+{m}\angle{B}+{m}\angle{C}={180}^{\circ}$$ The measure of analeAis Click to select your answer(s). Save for Later 0. (i) 170 (1) 7 (1) 5 (1) 5 (1) 5 (1) 5 Carol Gates 2020-10-27 Answered

### To check: whether the triangles are similar. If so, write a similarity statement. Given: The given triangles are:  abondantQ 2020-10-27 Answered

### Draw a graph for the original figure and its dilated image. Check whether the dilation is a similarity transformation or not. Given: The given vertices are original $$\displaystyle\rightarrow{A}{\left({2},{3}\right)},{B}{\left({0},{1}\right)},{C}{\left({3},{0}\right)}$$ image $$\displaystyle\rightarrow{D}{\left({4},{6}\right)},{F}{\left({0},{2}\right)},{G}{\left({6},{0}\right)}$$ pedzenekO 2020-10-27 Answered

### Check whether the given dilationis a similarity transformation or not. Given: The given dilation is  Globokim8 2020-10-27 Answered

### Are pairs of triangles similar? Given information:  coexpennan 2020-10-27 Answered

### Given $$\displaystyle\triangle{D}{E}{F}{\quad\text{and}\quad}\triangle{E}{G}{F}$$ in the diagram below, determine if the triangles are similar. If so, write a similarity statement, and state the criterion used to support your claim.  Lewis Harvey 2020-10-27 Answered

### In this problem, allow $$T1: RR2 \rightarrow RR2 \text{ and } T2: RR2 \rightarrow R2$$ be linear transformations. Find $$Ker(T_1), Ker(T_2), Ker(T_3)$$ of the respective matrices $$A=[(1,-1),(-2,0)],B=[(1,5),(-2,0)]$$ vestirme4 2020-10-26 Answered

### The capacitance of a single isolated spherical conductor withradius R is proportional to a) $$\displaystyle{R}$$ b) $$\displaystyle{R}^{{{2}}}$$ c) $$\displaystyle{\frac{{{1}}}{{{R}}}}$$ d) $$\displaystyle{\frac{{{1}}}{{{R}^{{{2}}}}}}$$ Cheyanne Leigh 2020-10-26 Answered

### The ratio of the length (including the endzone) to the width of an NFL football field is 2.25. If the perimeter of the football field is 1040 feet, what are the dimensions of the field? BenoguigoliB 2020-10-26 Answered

### [Pic of triangle] Find the volume of the pyramid. Write your answer as a fraction or mixed number. Phoebe 2020-10-26 Answered

### Describe one similarity and one difference between the graphs of $$\displaystyle\frac{{x}^{{2}}}{{9}}-\frac{{y}^{{2}}}{{1}}={1}{\quad\text{and}\quad}\frac{{{\left({x}-{3}\right)}^{{2}}}}{{9}}-\frac{{{\left({y}+{3}\right)}^{{2}}}}{{1}}={1}$$. rocedwrp 2020-10-23 Answered

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